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Nonlinear Dynamics

An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems

Short Title: Nonlinear Dyn.
Publisher: Springer Netherlands, Dordrecht
ISSN: 0924-090X; 1573-269X/e
Online: http://link.springer.com/journal/volumesAndIssues/11071
Documents Indexed: 4,606 Publications (since 1997)
References Indexed: 4,044 Publications with 136,905 References.
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Latest Issues

100, No. 2 (2020)
100, No. 1 (2020)
99, No. 4 (2020)
99, No. 2 (2020)
99, No. 1 (2020)
98, No. 4 (2019)
98, No. 3 (2019)
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74, No. 4 (2013)
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72, No. 4 (2013)
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...and 188 more Volumes
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Authors

45 Nayfeh, Ali Hasan
44 Park, Juhyun (Jessie)
34 Cao, Jinde
30 Zhang, Wei
28 Machado, José António Tenreiro
24 Băleanu, Dumitru I.
24 Shabana, Ahmed A.
21 Biswas, Anjan
21 Chen, Zengqiang
21 Rand, Richard H.
21 Wang, Xingyuan
20 Vakakis, Alexander F.
19 Ding, Feng
19 Llibre, Jaume
19 van Horssen, Wilhem Teunis
18 Belhaq, Mohamed
18 Chen, Lansun
18 Liao, Xiaofeng
18 Mahomed, Fazal M.
18 Tian, Bo
17 Awrejcewicz, Jan
17 Chen, Liqun
17 Lamarque, Claude-Henri
17 Zhou, Qin
16 Kara, Abdul Hamid
15 Ahn, Choon Ki
15 Balthazar, José Manoel
15 Gao, Yitian
15 Yabuno, Hiroshi
14 Aghababa, Mohammad Pourmahmood
14 Balasubramaniam, Pagavathigounder
14 Gendelman, Oleg V.
14 Luongo, Angelo
14 Mirzazadeh, Mohammad
14 Mobayen, Saleh
13 Chen, Guanrong
13 Fang, Jian’an
13 Hayat, Tasawar
13 Wang, Zuolei
12 Hu, Haiyan
12 Liu, Wenjun J.
12 Maccari, Attilio
12 Rakkiyappan, Rajan
12 Rega, Giuseppe
12 Tong, Shaocheng
12 Wazwaz, Abdul-Majid Abdul-Rahman
12 Zhou, Wuneng
11 Bergman, Lawrence A.
11 Ibragimov, Nail Hairullovich
11 Liu, Zhi
11 Lü, Xing
11 Mahmoud, Gamal M.
11 Natsiavas, Sotirios
11 Oustaloup, Alain
11 Shang, Pengjian
11 Shi, Xuerong
11 Xu, Wei
11 Yang, Qigui
11 Yao, Minghui
11 Yoo, Sung Jin
10 Algaba, Antonio
10 Belić, Milivoj R.
10 Butcher, Eric A.
10 Chatterjee, Anindya
10 Chen, Yangquan
10 Danca, Marius-Florin
10 Huang, Lihong
10 Jiang, Weihua
10 Li, Chuandong
10 Liu, Shutang
10 Qi, Guoyuan
10 Rodríguez-Luis, Alejandro J.
10 Sinha, Subhash C.
10 Stépán, Gábor
10 Wang, Zhen
10 Xu, Yuhua
10 Younesian, Davood
10 Zhang, Yun
10 Zhong, Shou-Ming
10 Zotos, Euaggelos E.
9 Feeny, Brian F.
9 Feng, Jianwen
9 Hajj, Muhammad R.
9 Huang, Tingwen
9 Lenci, Stefano
9 Li, Yongming
9 Liu, Chongxin
9 Ma, Junhai
9 Nijmeijer, Henk
9 Pilipchuk, Valery N.
9 Triki, Houria
9 Wu, Huaining
9 Yang, Yixian
8 Bajaj, Anil K.
8 Bi, Qinsheng
8 Ding, Hu
8 Escalona, José Luis
8 Freire Macías, Emilio
8 Ji, Jinchen
8 Kar, Tapan Kumar
...and 6,929 more Authors
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Fields

1,463 Systems theory; control (93-XX)
1,306 Ordinary differential equations (34-XX)
1,236 Mechanics of particles and systems (70-XX)
1,148 Dynamical systems and ergodic theory (37-XX)
665 Mechanics of deformable solids (74-XX)
499 Partial differential equations (35-XX)
482 Biology and other natural sciences (92-XX)
219 Information and communication theory, circuits (94-XX)
215 Fluid mechanics (76-XX)
170 Numerical analysis (65-XX)
126 Operations research, mathematical programming (90-XX)
119 Computer science (68-XX)
110 Real functions (26-XX)
109 Optics, electromagnetic theory (78-XX)
89 Probability theory and stochastic processes (60-XX)
75 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
54 Calculus of variations and optimal control; optimization (49-XX)
47 Difference and functional equations (39-XX)
39 Statistics (62-XX)
38 Statistical mechanics, structure of matter (82-XX)
36 Combinatorics (05-XX)
21 Global analysis, analysis on manifolds (58-XX)
21 Quantum theory (81-XX)
17 Geophysics (86-XX)
16 Measure and integration (28-XX)
15 Special functions (33-XX)
15 Operator theory (47-XX)
14 Classical thermodynamics, heat transfer (80-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
12 Approximations and expansions (41-XX)
11 Integral equations (45-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 Astronomy and astrophysics (85-XX)
8 History and biography (01-XX)
7 General and overarching topics; collections (00-XX)
6 Differential geometry (53-XX)
4 Nonassociative rings and algebras (17-XX)
3 Mathematical logic and foundations (03-XX)
3 Number theory (11-XX)
3 Integral transforms, operational calculus (44-XX)
2 Topological groups, Lie groups (22-XX)
2 Potential theory (31-XX)
2 Functional analysis (46-XX)
2 Relativity and gravitational theory (83-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Manifolds and cell complexes (57-XX)

Publications by Year

Citations contained in zbMATH Open

3,963 Publications have been cited 35,945 times in 19,376 Documents Cited by Year
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
659
2002
Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115
Deng, Weihua; Li, Changpin; Lü, Jinhu
287
2007
Variable order and distributed order fractional operators. Zbl 1018.93007
Lorenzo, Carl F.; Hartley, Tom T.
262
2002
A general formulation and solution scheme for fractional optimal control problems. Zbl 1121.70019
Agrawal, Om Prakash
222
2004
Solution for a fractional diffusion-wave equation defined in a bounded domain. Zbl 1009.65085
Agrawal, Om P.
197
2002
Time fractional diffusion: A discrete random walk approach. Zbl 1009.82016
Gorenflo, Rudolf; Mainardi, Francesco; Moretti, Daniele; Paradisi, Paolo
151
2002
Discrete fractional logistic map and its chaos. Zbl 1281.34121
Wu, Guo-Cheng; Baleanu, Dumitru
145
2014
Spectral properties of dynamical systems, model reduction and decompositions. Zbl 1098.37023
Mezić, Igor
123
2005
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation. Zbl 1345.65060
Bhrawy, A. H.; Zaky, M. A.
114
2015
Bifurcations in nonlinear discontinuous systems. Zbl 0980.70018
Leine, R. I.; van Campen, D. H.; van de Vrande, B. L.
112
2000
Anlogue realizations of fractional-order controllers. Zbl 1041.93022
Podlubny, I.; Petráš, I.; Vinagre, B. M.; O’Leary, P.; Dorčák, L’.
107
2002
Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. Zbl 1170.76317
Abbasbandy, S.; Zakaria, F. Samadian
104
2008
Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations. Zbl 1354.35127
Ma, Wen Xiu; Qin, Zhenyun; Lü, Xing
101
2016
Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt. Zbl 1181.76031
Sajid, M.; Hayat, T.; Asghar, S.
100
2007
Fractional conservation laws in optimal control theory. Zbl 1170.49017
Frederico, Gastão S. F.; Torres, Delfim F. M.
100
2008
Noether-type symmetries and conservation laws via partial Lagrangians. Zbl 1121.70014
Kara, A. H.; Mahomed, F. M.
99
2006
The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview. Zbl 1103.70011
Kerschen, Gaetan; Golinval, Jean-Claude; Vakaris, Alexander F.; Bergman, Lawrence A.
89
2005
Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081
Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil
88
2012
Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation. Zbl 1355.35159
Lü, Xing; Ma, Wen-Xiu
85
2016
Adaptive synchronization of fractional-order memristor-based neural networks with time delay. Zbl 1348.93159
Bao, Haibo; Park, Ju H.; Cao, Jinde
81
2015
Exponential input-to-state stability of stochastic Cohen-Grossberg neural networks with mixed delays. Zbl 1345.92019
Zhu, Quanxin; Cao, Jinde; Rakkiyappan, R.
81
2015
Homotopy solutions for a generalized second-grade fluid past a porous plate. Zbl 1094.76005
Hayat, Tasawar; Khan, Masood
77
2005
Dynamics and control of initialized fractional-order systems. Zbl 1021.93019
Hartley, Tom T.; Lorenzo, Carl F.
76
2002
Analytical stability bound for a class of delayed fractional-order dynamic systems. Zbl 1020.34064
Chen, Yangquan; Moore, Kevin L.
74
2002
Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. Zbl 1215.93114
Mahmoud, Gamal M.; Mahmoud, Emad E.
72
2010
Numerical solution of the Klein-Gordon equation via He’s variational iteration method. Zbl 1179.81064
Shakeri, Fatemeh; Dehghan, Mehdi
70
2008
Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1349.35007
Lü, Xing; Chen, Shou-Ting; Ma, Wen-Xiu
68
2016
Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique. Zbl 1253.93016
Aghababa, Mohammad Pourmahmood
66
2012
Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105
Odibat, Zaid M.
66
2010
Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays. Zbl 1331.93102
Stamova, Ivanka
65
2014
A review of operational matrices and spectral techniques for fractional calculus. Zbl 1348.65106
Bhrawy, Ali H.; Taha, Taha M.; Tenreiro Machado, José A.
64
2015
Finite-time synchronization control for uncertain Markov jump neural networks with input constraints. Zbl 1331.92019
Shen, Hao; Park, Ju H.; Wu, Zheng-Guang
64
2014
Fractional-order delayed predator-prey systems with Holling type-II functional response. Zbl 1345.92123
Rihan, F. A.; Lakshmanan, S.; Hashish, A. H.; Rakkiyappan, R.; Ahmed, E.
63
2015
Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations. Zbl 1038.34075
Das, S. L.; Chatterjee, A.
62
2002
Fractional control of heat diffusion systems. Zbl 1210.80008
Jesus, Isabel S.; Tenreiro Machado, J. A.
62
2008
Lie symmetry analysis of differential equations in finance. Zbl 0929.35006
Gazizov, R. K.; Ibragimov, N. H.
61
1998
A study of the nonlinear response of a resonant microbeam to an electric actuation. Zbl 1047.74027
Younis, M. I.; Nayfeh, A. H.
61
2003
Conservation laws for time-fractional subdiffusion and diffusion-wave equations. Zbl 1345.35131
Lukashchuk, Stanislav Yu.
59
2015
Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays. Zbl 1331.34154
Rakkiyappan, R.; Velmurugan, G.; Cao, Jinde
59
2014
Fractional integration and differentiation of variable order: an overview. Zbl 1268.34025
Samko, Stefan
58
2013
Adaptive synchronization of uncertain dynamical networks with delayed coupling. Zbl 1182.92007
Lu, Jianquan; Cao, Jinde
57
2008
\(p\)th moment exponential synchronization for stochastic delayed Cohen-Grossberg neural networks with Markovian switching. Zbl 1242.93126
Zhu, Quanxin; Cao, Jinde
56
2012
Finite-time synchronization of complex networks with nonidentical discontinuous nodes. Zbl 1281.34100
Yang, Xinsong; Wu, Zhiyou; Cao, Jinde
56
2013
Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review. Zbl 1134.93300
Chen, Yangquan; Vinagre, Blas M.; Podlubny, Igor
56
2004
On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328
Baleanu, Dumitru; Trujillo, Juan J.
56
2008
Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations. Zbl 1005.70019
Kalmár-Nagy, Tamás; Stépán, Gábor; Moon, Francis C.
55
2001
Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction. Zbl 1170.70355
Nayfeh, Ali H.
55
2008
A general mechanism to generate three limit cycles in planar Filippov systems with two zones. Zbl 1314.37031
Freire, Emilio; Ponce, Enrique; Torres, Francisco
55
2014
Fractional dynamical system and its linearization theorem. Zbl 1268.34019
Li, Changpin; Ma, Yutian
55
2013
Adaptive synchronization of chaotic Cohen-Grossberg neural networks with mixed time delays. (Adaptive synchronization of chaotic Cohen-Crossberg neural networks with mixed time delays.) Zbl 1204.93064
Zhu, Quanxin; Cao, Jinde
54
2010
Cellular buckling in long structures. Zbl 0974.74024
Hunt, G. W.; Peletier, M. A.; Champneys, A. R.; Woods, P. D.; Ahmer Wadee, M.; Budd, C. J.; Lord, G. J.
53
2000
Numerical algorithm for the variable-order Caputo fractional functional differential equation. Zbl 1349.65505
Bhrawy, A. H.; Zaky, M. A.
53
2016
Resonances of a harmonically forced Duffing oscillator with time delay state feedback. Zbl 0906.34052
Hu, Haiyan; Dowell, Earl H.; Virgin, Lawrence N.
51
1998
Gradient-based identification methods for Hammerstein nonlinear ARMAX models. Zbl 1134.93321
Ding, Feng; Shi, Yang; Chen, Tongwen
51
2006
Fractional boundary value problems with singularities in space variables. Zbl 1268.34023
O’Regan, Donal; Staněk, Svatoslav
51
2013
Analysis of thin beams and cables using the absolute nodal co-ordinate formulation. Zbl 1138.74391
Gerstmayr, Johannes; Shabana, Ahmed A.
50
2006
Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique. Zbl 1314.93013
Wang, Cheng; Tang, Tao
50
2014
Sampled-data-based lag synchronization of chaotic delayed neural networks with impulsive control. Zbl 1380.34082
Zhang, Xiaoyu; Lv, Xiaoxiao; Li, Xiaodi
50
2017
Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system. Zbl 1398.37090
Kuznetsov, N. V.; Leonov, G. A.; Mokaev, T. N.; Prasad, A.; Shrimali, M. D.
49
2018
Secure communication based on chaotic synchronization via interval time-varying delay feedback control. Zbl 1215.93127
Kwon, O. M.; Park, Ju H.; Lee, S. M.
49
2011
Control of a class of fractional-order chaotic systems via sliding mode. Zbl 1242.93027
Chen, Di-yi; Liu, Yu-xiao; Ma, Xiao-yi; Zhang, Run-fan
49
2012
Global properties of a class of virus infection models with multitarget cells. Zbl 1254.92064
Elaiw, A. M.
49
2012
Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure. Zbl 1176.92056
Qu, Ying; Wei, Junjie
49
2007
A numerical method for KdV equation using collocation and radial basis functions. Zbl 1185.76832
Dehghan, Mehdi; Shokri, Ali
49
2007
New results on stability and stabilization of a class of nonlinear fractional-order systems. Zbl 1283.93138
Chen, Liping; He, Yigang; Chai, Yi; Wu, Ranchao
48
2014
Abstract Cauchy problem for fractional differential equations. Zbl 1268.34034
Wang, Jinrong; Zhou, Yong; Feckan, Michal
48
2013
Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Zbl 0899.70005
Anitescu, M.; Potra, F. A.
47
1997
Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A.
47
2015
Chaos and Hopf bifurcation of a finance system. Zbl 1183.91193
Gao, Qin; Ma, Junhai
47
2009
Ši’lnikov chaos in the generalized Lorenz canonical form of dynamical systems. Zbl 1142.70012
Zhou, Tianshou; Chen, Guanrong; Čelikovský, Sergej
46
2005
Predator cannibalism can give rise to regular spatial pattern in a predator-prey system. Zbl 1183.92084
Sun, Gui-Quan; Zhang, Guang; Jin, Zhen; Li, Li
46
2009
Finite time integral sliding mode control of hypersonic vehicles. Zbl 1281.70016
Sun, Haibin; Li, Shihua; Sun, Changyin
45
2013
Global exponential estimates for uncertain Markovian jump neural networks with reaction-diffusion terms. Zbl 1411.60114
Shen, Hao; Huang, Xia; Zhou, Jianping; Wang, Zhen
45
2012
Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations. Zbl 1349.37031
Kuznetsov, N. V.; Alexeeva, T. A.; Leonov, G. A.
45
2016
LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121
Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru
45
2013
Global exponential stability for quaternion-valued recurrent neural networks with time-varying delays. Zbl 1371.93098
Liu, Yang; Zhang, Dandan; Lu, Jianquan
45
2017
Dynamical analysis of a prey-predator model with Beddington-DeAngelis type function response incorporating a prey refuge. Zbl 1345.92125
Tripathi, Jai Prakash; Abbas, Syed; Thakur, Manoj
44
2015
Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control. Zbl 1031.93110
Vinagre, B. M.; Petráš, I.; Podlubny, I.; Chen, Y. Q.
44
2002
Synchronization of neutral complex dynamical networks with coupling time-varying delays. Zbl 1280.93005
Ji, D. H.; Lee, D. W.; Koo, J. H.; Won, S. C.; Lee, S. M.; Park, Ju H.
43
2011
Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane. Zbl 1281.34037
de Carvalho Braga, Denis; Mello, Luis Fernando
43
2013
Robust dissipativity analysis of neural networks with time-varying delay and randomly occurring uncertainties. Zbl 1253.93040
Wu, Zheng-Guang; Park, Ju H.; Su, Hongye; Chu, Jian
43
2012
Dynamic pull-in phenomenon in MEMS resonators. Zbl 1177.74191
Nayfeh, Ali H.; Younis, Mohammad I.; Abdel-Rahman, Eihab M.
43
2007
Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011
Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M.
42
1998
Modified projective synchronization of fractional-order chaotic systems via active sliding mode control. Zbl 1253.93023
Wang, Xingyuan; Zhang, Xiaopeng; Ma, Chao
42
2012
A two-grid finite element approximation for a nonlinear time-fractional Cable equation. Zbl 1349.65429
Liu, Yang; Du, Yan-Wei; Li, Hong; Wang, Jin-Feng
42
2016
Generalized projective synchronization of the fractional-order Chen hyperchaotic system. Zbl 1176.70029
Wu, Xiangjun; Lu, Yang
42
2009
The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables. Zbl 1005.70023
Manevitch, L. I.
41
2001
Tuning of PID controllers based on Bode’s ideal transfer function. Zbl 1134.93334
Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Ferreira, Isabel M.
41
2004
Synchronization of reaction-diffusion neural networks with time-varying delays via stochastic sampled-data controller. Zbl 1331.92018
Rakkiyappan, R.; Dharani, S.; Zhu, Quanxin
41
2015
Synchronization for chaotic Lur’e systems with sector-restricted nonlinearities via delayed feedback control. Zbl 1183.70073
Lee, S. M.; Choi, S. J.; Ji, D. H.; Park, Ju H.; Won, S. C.
41
2010
Description of elastic forces in absolute nodal coordinate formulation. Zbl 1041.74547
Sopanen, Jussi T.; Mikkola, Aki M.
40
2003
Phase and antiphase synchronization of two identical hyperchaotic complex nonlinear systems. Zbl 1204.93096
Mahmoud, Gamal M.; Mahmoud, Emad E.
40
2010
Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system. Zbl 1348.34102
Wei, Zhouchao; Yu, Pei; Zhang, Wei; Yao, Minghui
40
2015
Holling II predator-prey impulsive semi-dynamic model with complex Poincaré map. Zbl 1348.34042
Tang, Sanyi; Tang, Biao; Wang, Aili; Xiao, Yanni
40
2015
Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators. Zbl 0999.70019
Gendelman, Oleg V.
39
2001
Fractional calculus via functional calculus: Theory and applications. Zbl 1026.47010
Kempfle, Siegmar; Schäfer, Ingo; Beyer, Horst
39
2002
Constrained controllability of semilinear systems with delays. Zbl 1170.93009
Klamka, Jerzy
39
2009
State estimation for Markovian jumping recurrent neural networks with interval time-varying delays. Zbl 1194.62109
Balasubramaniam, P.; Lakshmanan, S.; Jeeva Sathya Theesar, S.
39
2010
Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems. Zbl 1348.93216
Yin, Chun; Cheng, Yuhua; Chen, Yangquan; Stark, Brandon; Zhong, Shouming
39
2015
Adaptive robust fuzzy control for a class of uncertain chaotic systems. Zbl 1176.93040
Liu, Yanjun; Zheng, Yaqin
39
2009
A hidden mode observation approach to finite-time SOFC of Markovian switching systems with quantization. Zbl 1434.93019
Cheng, Jun; Park, Ju H.; Cao, Jinde; Qi, Wenhai
21
2020
Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera. Zbl 1434.92015
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7
2020
Observer-based adaptive neural tracking control for output-constrained switched MIMO nonstrict-feedback nonlinear systems with unknown dead zone. Zbl 1459.93051
Ma, Li; Huo, Xin; Zhao, Xudong; Zong, Guang Deng
7
2020
Barrier Lyapunov functions-based fixed-time stabilization of nonholonomic systems with unmatched uncertainties and time-varying output constraints. Zbl 1434.70037
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5
2020
Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics. Zbl 1459.35076
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5
2020
A nonautonomous model for the effect of environmental toxins on plankton dynamics. Zbl 1434.37051
Mandal, Arindam; Tiwari, Pankaj Kumar; Samanta, Sudip; Venturino, Ezio; Pal, Samares
4
2020
Spatiotemporal dynamics of a vegetation model with nonlocal delay in semi-arid environment. Zbl 1434.37054
Xue, Qiang; Sun, Gui-Quan; Liu, Chen; Guo, Zun-Guang; Jin, Zhen; Wu, Yong-Ping; Feng, Guo-Lin
4
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Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach. Zbl 1434.35182
Liu, Nan; Guo, Boling
4
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Hidden dynamics in a fractional-order memristive Hindmarsh-Rose model. Zbl 1434.34018
Yu, Yajuan; Shi, Min; Kang, Huiyan; Chen, Mo; Bao, Bocheng
4
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Quasi-periodic bursters and chaotic dynamics in a shallow arch subject to a fast-slow parametric excitation. Zbl 1430.70092
Chtouki, A.; Lakrad, F.; Belhaq, M.
3
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On higher-order averaging of time-periodic systems: reconciliation of two averaging techniques. Zbl 1430.70091
Maggia, Marco; Eisa, Sameh A.; Taha, Haithem E.
3
2020
Quantized feedback adaptive command filtered backstepping control for a class of uncertain nonlinear strict-feedback systems. Zbl 1434.93020
Choi, Yun Ho; Yoo, Sung Jin
3
2020
General high-order localized waves to the Bogoyavlenskii-Kadomtsev-Petviashvili equation. Zbl 1434.37041
Wang, Chuanjian; Fang, Hui
3
2020
Parrondo’s paradox from classical to quantum: a review. Zbl 1434.81013
Lai, Joel Weijia; Cheong, Kang Hao
3
2020
Nonlinear breathing motions and instabilities of a pressure-loaded spherical hyperelastic membrane. Zbl 1430.74099
Soares, Renata M.; Amaral, Pedro F. T.; Silva, Frederico M. A.; Gonçalves, Paulo Batista
2
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Vortex-induced vibration of a linearly sprung cylinder with an internal rotational nonlinear energy sink in turbulent flow. Zbl 1430.76236
Blanchard, Antoine; Bergman, Lawrence A.; Vakakis, Alexander F.
2
2020
Two- and three-dimensional motions of a body controlled by an internal movable mass. Zbl 1430.70026
Chernousko, F. L.
2
2020
Local modal participation analysis of nonlinear systems using Poincaré linearization. Zbl 1430.70088
Hamzi, Boumediene; Abed, Eyad H.
2
2020
Existence of invariant curves for a Fermi-type impact absorber. Zbl 1434.70045
Cao, Zhenbang; Zhang, Xiaoming; Li, Denghui; Yin, Shan; Xie, Jianhua
2
2020
Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions. Zbl 1434.37040
Cao, Yulei; He, Jingsong; Cheng, Yi; Mihalache, Dumitru
2
2020
Stability and Hopf bifurcation for a delayed predator-prey model with stage structure for prey and Ivlev-type functional response. Zbl 1434.37049
Hu, Dongpo; Li, Yunyun; Liu, Ming; Bai, Yuzhen
2
2020
Bifurcations and dynamics of a plant disease system under non-smooth control strategy. Zbl 1434.37050
Li, Wenjie; Ji, Jinchen; Huang, Lihong; Wang, Jiafu
2
2020
High-order lumps, high-order breathers and hybrid solutions for an extended \((3+1)\)-dimensional Jimbo-Miwa equation in fluid dynamics. Zbl 1434.35007
Guo, Han-Dong; Xia, Tie-Cheng; Hu, Bei-Bei
2
2020
On two new types of modified short pulse equation. Zbl 1434.37042
Zhao, Dan; Zhaqilao
2
2020
Positive solutions and pattern formation in a diffusive tritrophic system with Crowley-Martin functional response. Zbl 1434.92037
Kumari, Nitu; Mohan, Nishith
2
2020
Fractional nonlinear dynamics of learning with memory. Zbl 1459.34046
Tarasov, Vasily E.
2
2020
Distributed adaptive neural network consensus for a class of uncertain nonaffine nonlinear multi-agent systems. Zbl 1459.93021
Wu, Li-Bing; Park, Ju H.; Xie, Xiang-Peng; Ren, Yu-Wei; Yang, Zhichun
2
2020
Stochastic bifurcations in a nonlinear tri-stable energy harvester under colored noise. Zbl 1459.34134
Zhang, Yanxia; Jin, Yanfei; Xu, Pengfei; Xiao, Shaomin
2
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A constrained error-based MPC for path following of quadrotor with stability analysis. Zbl 1459.93069
Eskandarpour, Abolfazl; Sharf, Inna
2
2020
Application of the Riemann-Hilbert method to the vector modified Korteweg-de Vries equation. Zbl 1459.37056
Wang, Xiu-Bin; Han, Bo
2
2020
Dynamic analysis of discontinuous plant disease models with a non-smooth separation line. Zbl 1459.92135
Li, Wenxiu; Huang, Lihong; Wang, Jiafu
2
2020
Conservative chaos and invariant tori in the modified Sprott a system. Zbl 1459.34109
Cang, Shijian; Li, Yue; Xue, Wei; Wang, Zenghui; Chen, Zengqiang
2
2020
Nonlinear dynamics in mechanics and engineering: 40 years of developments and Ali H. Nayfeh’s legacy. Zbl 1430.70002
Rega, Giuseppe
1
2020
Nonlinear dynamics of self-, parametric, and externally excited oscillator with time delay: van der Pol versus Rayleigh models. Zbl 1430.70083
Warminski, Jerzy
1
2020
Potential well escape in a galloping twin-well oscillator. Zbl 1430.70079
Alhussein, Hussam; Daqaq, Mohammad F.
1
2020
Limit cycles at oversteer vehicle. Zbl 1430.70082
Steindl, Alois; Edelmann, Johannes; Plöchl, Manfred
1
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Multifidelity modeling and comparative analysis of electrically coupled microbeams under squeeze-film damping effect. Zbl 1430.70065
Najar, Fehmi; Ghommem, Mehdi; Abdelkefi, Abdessattar
1
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Nonlinear closure modeling in reduced order models for turbulent flows: a dynamical system approach. Zbl 1430.76237
Imtiaz, Haroon; Akhtar, Imran
1
2020
On the onset of bifurcation and nonlinear characterization of vortex-induced vibrations under varying initial conditions. Zbl 1430.37100
Mehmood, Arshad; Abdelkefi, Abdessattar; Hajj, Muhammad R.; Akhtar, Imran
1
2020
Certain aspects of the acoustics of a strongly nonlinear discrete lattice. Zbl 1430.37093
Mojahed, Alireza; Vakakis, Alexander F.
1
2020
On a localization phenomenon in two types of bio-inspired hierarchically organized oscillatory systems. Zbl 1430.37110
Kovacic, Ivana; Zukovic, Miodrag; Radomirovic, Dragi
1
2020
Flexural wave propagation in infinite beams on a unilateral elastic foundation. Zbl 1430.74088
Lenci, Stefano; Clementi, Francesco
1
2020
Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running. Zbl 1434.34052
Płociniczak, Łukasz; Wróblewska, Zofia
1
2020
Adaptive smooth control for nonlinear uncertain systems. Zbl 1434.93038
Cho, Hancheol; Kerschen, Gaëtan; Oliveira, Tiago Roux
1
2020
Event-triggered based \(L_2-L_\infty\) filtering for multiagent systems with Markovian jumping topologies under time-varying delays. Zbl 1434.93095
Aslam, Muhammad Shamrooz; Dai, Xisheng
1
2020
Global dynamics of a Holling Type-III two prey-one predator discrete model with optimal harvest strategy. Zbl 1434.37048
Banerjee, Ritwick; Das, Pritha; Mukherjee, Debasis
1
2020
Finite-time adaptive fuzzy command filtered control for nonlinear systems with indifferentiable non-affine functions. Zbl 1434.93025
Chen, Lian; Wang, Qing
1
2020
Retraction note to: “Chattering-free variable structure controller design via fractional calculus approach and its application”. Zbl 1434.93018
Zhong, Guoliang; Deng, Hua; Li, Junfeng
1
2020
Recurrence quantification analysis on a Kaldorian business cycle model. Zbl 1434.62237
Orlando, Giuseppe; Zimatore, Giovanna
1
2020
Fuzzy neural network-based chaos synchronization for a class of fractional-order chaotic systems: an adaptive sliding mode control approach. Zbl 1459.34144
Wang, RenMing; Zhang, YunNing; Chen, YangQuan; Chen, Xi; Xi, Lei
1
2020
Output feedback regulation of time-delay nonlinear systems with unknown continuous output function and unknown growth rate. Zbl 1459.93053
Sun, Zong-Yao; Xing, Jing-Wen; Meng, Qinghua
1
2020
Adaptive consensus control of fractional multi-agent systems by distributed event-triggered strategy. Zbl 1459.93016
Luo, Li; Mi, Wen; Zhong, Shouming
1
2020
A parametric method to design dynamic compensator for high-order quasi-linear systems. Zbl 1459.93067
Gu, Da-Ke; Zhang, Da-Wei
1
2020
Bifurcation analysis for non-local design of a hybrid observer for the impulsive Goodwin’s oscillator. Zbl 1459.34099
Yamalova, Diana; Medvedev, Alexander; Zhusubalyiev, Zhanybai T.
1
2020
Nonlinear localized waves resonance and interaction solutions of the \((3 + 1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation. Zbl 1459.35084
Wu, Juanjuan; Liu, Yaqing; Piao, Linhua; Zhuang, Jianhong; Wang, Deng-Shan
1
2020
Soliton elastic interactions and dynamical analysis of a reduced integrable nonlinear Schrödinger system on a triangular-lattice ribbon. Zbl 1459.37061
Wang, Hao-Tian; Wen, Xiao-Yong
1
2020
Design of coupled Andronov-Hopf oscillators with desired strange attractors. Zbl 1459.34141
Kohannim, Saba; Iwasaki, Tetsuya
1
2020
Analysis of Bogdanov-Takens bifurcations in a spatiotemporal harvested-predator and prey system with Beddington-DeAngelis-type response function. Zbl 1459.92097
Sarwardi, Sahabuddin; Haque, Md. Manarul; Hossain, Sajjad
1
2020
Dynamics of algae blooming: effects of budget allocation and time delay. Zbl 1459.92161
Misra, Arvind Kumar; Singh, Rajesh Kumar; Tiwari, Pankaj Kumar; Khajanchi, Subhas; Kang, Yun
1
2020
Harmonic resonances of graphene-reinforced nonlinear cylindrical shells: effects of spinning motion and thermal environment. Zbl 1459.74118
Dong, Youheng; Li, Xiangyu; Gao, Kang; Li, Yinghui; Yang, Jie
1
2020
Observer-based event-triggered control for semilinear time-fractional diffusion systems with distributed feedback. Zbl 1459.93049
Ge, Fudong; Chen, Yangquan
1
2020
Analysis and comparative study of non-holonomic and quasi-integrable deformations of the nonlinear Schrödinger equation. Zbl 1459.35339
Abhinav, Kumar; Guha, Partha; Mukherjee, Indranil
1
2020
Novel stability condition for delayed fractional-order composite systems based on vector Lyapunov function. Zbl 1459.93161
Zhe, Zhang; Ushio, Toshimitsu; Ai, Zhaoyang; Jing, Zhang
1
2020
Dynamical analysis and control strategies of an SIVS epidemic model with imperfect vaccination on scale-free networks. Zbl 1459.92136
Lv, Wei; Ke, Qing; Li, Kezan
1
2020
Composite synchronization control for delayed coupling complex dynamical networks via a disturbance observer-based method. Zbl 1459.93050
Kaviarasan, Boomipalagan; Kwon, Oh Min; Park, Myeong Jin; Sakthivel, Rathinasamy
1
2020
Suppressing homoclinic chaos for a weak periodically excited non-smooth oscillator. Zbl 1459.34142
Li, Shuangbao; Ma, Xixi; Bian, Xiaoli; Lai, Siu-Kai; Zhang, Wei
1
2020
Evolutionary dynamics of cooperation in the public goods game with pool exclusion strategies. Zbl 1431.91033
Liu, Linjie; Chen, Xiaojie; Perc, Matjaž
17
2019
Characteristics and interactions of solitary and lump waves of a \((2+1)\)-dimensional coupled nonlinear partial differential equation. Zbl 1437.37095
Ren, Bo; Ma, Wen-Xiu; Yu, Jun
14
2019
Hidden and self-excited coexisting attractors in a Lorenz-like system with two equilibrium points. Zbl 1439.34045
Cang, Shijian; Li, Yue; Zhang, Ruiye; Wang, Zenghui
14
2019
Phase-shift controlling of three solitons in dispersion-decreasing fibers. Zbl 1430.78006
Liu, Suzhi; Zhou, Qin; Biswas, Anjan; Liu, Wenjun
14
2019
Modelings and mechanism analysis underlying both the 4D Euler equations and Hamiltonian conservative chaotic systems. Zbl 1432.70020
Qi, Guoyuan
13
2019
The amplitude, frequency and parameter space boosting in a memristor-meminductor-based circuit. Zbl 1437.94112
Yuan, Fang; Deng, Yue; Li, Yuxia; Wang, Guangyi
12
2019
Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons. Zbl 1437.92023
Chen, Chengjie; Chen, Jingqi; Bao, Han; Chen, Mo; Bao, Bocheng
11
2019
Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves. Zbl 1430.37071
Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu
11
2019
A critical analysis of the conformable derivative. Zbl 1437.26006
Abdelhakim, Ahmed A.; Machado, José A. Tenreiro
10
2019
One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada-Kotera equation. Zbl 1437.35603
Osman, M. S.
10
2019
Conditional symmetry: bond for attractor growing. Zbl 1439.94108
Li, Chunbiao; Xu, Yujie; Chen, Guanrong; Liu, Yongjian; Zheng, Jincun
10
2019
Bursting oscillations and coexisting attractors in a simple memristor-capacitor-based chaotic circuit. Zbl 1430.94112
Wang, Ning; Zhang, Guoshan; Bao, Han
9
2019
Non-fragile saturation control of nonlinear positive Markov jump systems with time-varying delays. Zbl 1430.60069
Zhang, Junfeng; Raïssi, Tarek; Li, Shicheng
9
2019
Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons. Zbl 1430.74073
Jia, Ting-Ting; Gao, Yi-Tian; Deng, Gao-Fu; Hu, Lei
9
2019
Chaotic system with bondorbital attractors. Zbl 1430.37045
Zhang, Xin; Wang, Chunhua; Yao, Wei; Lin, Hairong
9
2019
Combined open-loop and funnel control for underactuated multibody systems. Zbl 1432.93102
Berger, Thomas; Otto, Svenja; Reis, Timo; Seifried, Robert
9
2019
Dynamics of a stochastic regime-switching predator-prey model with modified Leslie-Gower Holling-type II schemes and prey harvesting. Zbl 1437.37120
Liu, Meng
8
2019
Weighted \(\mathcal{H}_\infty\) consensus design for stochastic multi-agent systems subject to external disturbances and ADT switching topologies. Zbl 1437.93126
Zhou, Jianping; Wang, Yang; Zheng, Xiao; Wang, Zhen; Shen, Hao
8
2019
Control of dark and anti-dark solitons in the \((2+1)\)-dimensional coupled nonlinear Schrödinger equations with perturbed dispersion and nonlinearity in a nonlinear optical system. Zbl 1430.35218
Yu, Weitian; Liu, Wenjun; Triki, Houria; Zhou, Qin; Biswas, Anjan; Belić, Milivoj R.
8
2019
Chaos and hyperchaos via secondary Neimark-Sacker bifurcation in a model of radiophysical generator. Zbl 1430.37042
Stankevich, Nataliya; Kuznetsov, Alexander; Popova, Elena; Seleznev, Evgeniy
8
2019
Bursting oscillations in Sprott B system with multi-frequency slow excitations: two novel “Hopf/Hopf”-hysteresis-induced bursting and complex AMB rhythms. Zbl 1430.70086
Zhou, Chengyi; Li, Zhijun; xie, Fei; Ma, Minglin; Zhang, Yi
8
2019
Dynamics of prey-predator model with stage structure in prey including maturation and gestation delays. Zbl 1468.92055
Dubey, Balram; Kumar, Ankit
7
2019
Synchronization realization between two nonlinear circuits via an induction coil coupling. Zbl 1437.94111
Yao, Zhao; Ma, Jun; Yao, Yuangen; Wang, Chunni
7
2019
A memristor-meminductor-based chaotic system with abundant dynamical behaviors. Zbl 1437.94110
Xu, Birong; Wang, Guangyi; Iu, Herbert Ho-Ching; Yu, Simin; Yuan, Fang
7
2019
Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation. Zbl 1439.35418
Liu, Jian-Guo; Eslami, Mostafa; Rezazadeh, Hadi; Mirzazadeh, Mohammad
7
2019
The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type. Zbl 1439.35529
Gaber, A. A.; Aljohani, A. F.; Ebaid, A.; Machado, J. Tenreiro
7
2019
A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form. Zbl 1430.37054
Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.
7
2019
On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models. Zbl 1430.74084
Givois, Arthur; Grolet, Aurélien; Thomas, Olivier; Deü, Jean-François
7
2019
Evolution of initial discontinuity for the defocusing complex modified KdV equation. Zbl 1430.37085
Kong, Liang-Qian; Wang, Lei; Wang, Deng-Shan; Dai, Chao-Qing; Wen, Xiao-Yong; Xu, Ling
7
2019
New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions. Zbl 1430.37078
Wazwaz, Abdul-Majid; Kaur, Lakhveer
7
2019
Numerical investigation of the nonlinear modified anomalous diffusion process. Zbl 1430.60091
Nikan, O.; Tenreiro Machado, J. A.; Golbabai, A.; Nikazad, T.
7
2019
Dynamical behavior of a fractional three-species food chain model. Zbl 1432.37115
Alidousti, J.; Mostafavi Ghahfarokhi, M.
7
2019
Bilinear formalism, lump solution, lumpoff and instanton/rogue wave solution of a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation. Zbl 1437.37094
Mao, Jin-Jin; Tian, Shou-Fu; Zou, Li; Zhang, Tian-Tian; Yan, Xing-Jie
6
2019
Leader-following consensus of nonlinear fractional-order multi-agent systems over directed networks. Zbl 1437.93125
Ye, Yanyan; Su, Housheng
6
2019
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Cited by 22,284 Authors

206 Cao, Jinde
187 Băleanu, Dumitru I.
149 Hayat, Tasawar
106 Machado, José António Tenreiro
104 Al-saedi, Ahmed Eid Salem
101 Park, Juhyun (Jessie)
98 Zhang, Wei
97 Zhong, Shou-Ming
93 Ding, Feng
70 Chen, Guanrong
68 Ahmad, Bashir
68 Xu, Wei
65 Llibre, Jaume
59 Dehghan Takht Fooladi, Mehdi
58 Chen, Yangquan
56 Wang, Zhen
55 Jiang, Haijun
55 Liu, Fawang
52 Wang, Xingyuan
51 Rakkiyappan, Rajan
51 Zhu, Quanxin
50 Jafari, Sajad
50 Ma, Wen-Xiu
49 Pham, Viet-Thanh
47 Biswas, Anjan
47 Chen, Liqun
47 Chen, Zengqiang
47 Mahomed, Fazal M.
46 Ntouyas, Sotiris K.
45 Kwon, O. M.
43 Huang, Lihong
43 Liao, Xiaofeng
42 Elaiw, Ahmed M.
42 Sakthivel, Rathinasamy
41 Cheng, Jun
41 Shi, Kaibo
41 Torres, Delfim Fernando Marado
40 Balasubramaniam, Pagavathigounder
40 Hu, Cheng
40 Huang, Tingwen
40 Teng, Zhi-dong
39 Kara, Abdul Hamid
39 Yang, Qigui
39 Zhang, Tonghua
38 Awrejcewicz, Jan
38 Liu, Xinzhi
38 Luo, Albert C. J.
38 Wei, Zhouchao
37 Abbasbandy, Saeid
37 Alsaadi, Fuad Eid S.
37 Chen, Fangqi
37 Gómez-Aguilar, José Francisco
37 Ma, Junhai
37 Ouannas, Adel
36 Khalique, Chaudry Masood
36 Li, Changpin
36 Tian, Bo
36 Zhu, Weiqiu
35 Abdeljawad, Thabet
35 Li, Chuandong
34 Ali, M. Syed
34 Li, Xiaodi
34 Rodríguez-Luis, Alejandro J.
34 Tang, Sanyi
34 Wu, Ranchao
34 Xu, Jian
33 Bhrawy, Ali Hassan
33 Huang, Chengdai
33 Lamarque, Claude-Henri
33 Rega, Giuseppe
32 Belhaq, Mohamed
32 Sajid, Muhammad
32 Sprott, Julien Clinton
32 Zhou, Wuneng
31 Li, Chunbiao
31 Li, Wenxue
31 Liu, Shutang
31 Xia, Yonghui
31 Zhang, Qingling
30 Agarwal, Ravi P.
30 Algaba, Antonio
30 Vakakis, Alexander F.
30 Wang, Jinrong
30 Yao, Minghui
29 El-Nabulsi, Rami Ahmad
29 Feng, Jianwen
29 Inc, Mustafa
29 Momani, Shaher M.
29 Song, Yongli
29 Wei, Junjie
29 Yang, Xinsong
28 Elsadany, Abdelalim A.
28 Hashim, Ishak
28 Jiang, Weihua
28 Kapitaniak, Tomasz
28 Lenci, Stefano
28 Ma, Yuechao
28 Odibat, Zaid M.
28 Turner, Ian William
28 Yoo, Sung Jin
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Cited in 596 Journals

2,940 Nonlinear Dynamics
843 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
822 Applied Mathematics and Computation
787 Chaos, Solitons and Fractals
785 Journal of the Franklin Institute
675 Communications in Nonlinear Science and Numerical Simulation
561 Advances in Difference Equations
525 Mathematical Problems in Engineering
355 Applied Mathematical Modelling
327 Complexity
311 Chaos
304 Computers & Mathematics with Applications
287 International Journal of Systems Science. Principles and Applications of Systems and Integration
244 Abstract and Applied Analysis
222 Discrete Dynamics in Nature and Society
204 Multibody System Dynamics
193 International Journal of Control
186 Acta Mechanica
171 Journal of Vibration and Control
170 Mathematics and Computers in Simulation
149 Automatica
149 Applied Mathematics Letters
144 Computational and Applied Mathematics
142 Journal of Computational and Applied Mathematics
139 Nonlinear Analysis. Hybrid Systems
137 Fractional Calculus & Applied Analysis
136 Neural Networks
131 Physica A
130 Nonlinear Analysis. Real World Applications
127 Journal of Mathematical Analysis and Applications
119 Advances in Mathematical Physics
117 Meccanica
115 Information Sciences
114 Circuits, Systems, and Signal Processing
114 Physica D
107 European Journal of Mechanics. A. Solids
106 Mathematical Methods in the Applied Sciences
102 International Journal of Biomathematics
98 International Journal of Computer Mathematics
97 Computer Methods in Applied Mechanics and Engineering
97 International Journal of Applied and Computational Mathematics
94 International Journal of Nonlinear Sciences and Numerical Simulation
93 Journal of Applied Mathematics and Computing
90 Applied Numerical Mathematics
86 Asian Journal of Control
85 Journal of Applied Analysis and Computation
84 Journal of Computational Physics
80 Journal of Applied Mathematics
77 Discrete and Continuous Dynamical Systems. Series B
74 Physics Letters. A
74 Nonlinear Analysis. Modelling and Control
72 Acta Mechanica Sinica
66 Journal of Mathematical Physics
66 Numerical Algorithms
65 Fractals
63 AIMS Mathematics
62 Journal of Differential Equations
61 Qualitative Theory of Dynamical Systems
60 Discrete and Continuous Dynamical Systems. Series S
58 SIAM Journal on Applied Dynamical Systems
57 Archive of Applied Mechanics
53 Fuzzy Sets and Systems
53 Mathematical Biosciences and Engineering
51 European Journal of Control
50 AMM. Applied Mathematics and Mechanics. (English Edition)
49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
48 International Journal of Theoretical Physics
48 Journal of Nonlinear Science
47 Journal of Optimization Theory and Applications
47 International Journal of Robust and Nonlinear Control
47 Journal of Systems Science and Complexity
46 Computational Mechanics
45 International Journal of Engineering Science
45 Systems & Control Letters
45 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
44 Numerical Methods for Partial Differential Equations
43 Journal of Fluid Mechanics
43 Differential Equations and Dynamical Systems
42 ZAMP. Zeitschrift für angewandte Mathematik und Physik
42 Mathematical and Computer Modelling
41 Journal of Difference Equations and Applications
40 Applied Mathematics and Mechanics. (English Edition)
40 Journal of Nonlinear Mathematical Physics
40 Journal of Control Science and Engineering
39 Engineering Analysis with Boundary Elements
39 Journal of Nonlinear Science and Applications
38 Mathematical Biosciences
36 Boundary Value Problems
36 Mathematical Modelling of Natural Phenomena
35 Journal of Function Spaces
34 Applicable Analysis
34 Communications in Theoretical Physics
32 Wave Motion
32 Journal of Theoretical Biology
29 International Journal of Differential Equations
28 Journal of Geometry and Physics
28 International Journal for Numerical Methods in Engineering
28 International Journal of Adaptive Control and Signal Processing
28 Symmetry
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Cited in 58 Fields

6,590 Ordinary differential equations (34-XX)
5,774 Systems theory; control (93-XX)
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1,879 Mechanics of deformable solids (74-XX)
1,326 Real functions (26-XX)
926 Fluid mechanics (76-XX)
691 Probability theory and stochastic processes (60-XX)
682 Information and communication theory, circuits (94-XX)
564 Computer science (68-XX)
502 Calculus of variations and optimal control; optimization (49-XX)
458 Operations research, mathematical programming (90-XX)
458 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
341 Difference and functional equations (39-XX)
290 Operator theory (47-XX)
277 Statistical mechanics, structure of matter (82-XX)
258 Integral equations (45-XX)
199 Optics, electromagnetic theory (78-XX)
163 Special functions (33-XX)
145 Quantum theory (81-XX)
129 Statistics (62-XX)
126 Classical thermodynamics, heat transfer (80-XX)
112 Combinatorics (05-XX)
95 Global analysis, analysis on manifolds (58-XX)
90 Approximations and expansions (41-XX)
84 Geophysics (86-XX)
73 Harmonic analysis on Euclidean spaces (42-XX)
71 Integral transforms, operational calculus (44-XX)
69 Relativity and gravitational theory (83-XX)
68 Linear and multilinear algebra; matrix theory (15-XX)
52 Measure and integration (28-XX)
51 Differential geometry (53-XX)
44 Topological groups, Lie groups (22-XX)
36 Functional analysis (46-XX)
26 Number theory (11-XX)
25 Nonassociative rings and algebras (17-XX)
23 History and biography (01-XX)
21 General and overarching topics; collections (00-XX)
21 Functions of a complex variable (30-XX)
16 Mathematical logic and foundations (03-XX)
14 General topology (54-XX)
13 Astronomy and astrophysics (85-XX)
8 Abstract harmonic analysis (43-XX)
7 Group theory and generalizations (20-XX)
7 Potential theory (31-XX)
7 Mathematics education (97-XX)
4 Commutative algebra (13-XX)
4 Sequences, series, summability (40-XX)
4 Manifolds and cell complexes (57-XX)
3 Algebraic geometry (14-XX)
3 Several complex variables and analytic spaces (32-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Field theory and polynomials (12-XX)
2 Geometry (51-XX)
1 General algebraic systems (08-XX)

Citations by Year