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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)
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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 Mirzazadeh, Mohammad
15 Yabuno, Hiroshi
14 Aghababa, Mohammad Pourmahmood
14 Balasubramaniam, Pagavathigounder
14 Gendelman, Oleg V.
14 Luongo, Angelo
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 Ekici, Mehmet
8 Escalona, José Luis
8 Freire Macías, Emilio
8 Ji, Jinchen
...and 6,924 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

3,753 Publications have been cited 32,085 times in 16,933 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.
581
2002
Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115
Deng, Weihua; Li, Changpin; Lü, Jinhu
254
2007
Variable order and distributed order fractional operators. Zbl 1018.93007
Lorenzo, Carl F.; Hartley, Tom T.
211
2002
A general formulation and solution scheme for fractional optimal control problems. Zbl 1121.70019
Agrawal, Om Prakash
202
2004
Solution for a fractional diffusion-wave equation defined in a bounded domain. Zbl 1009.65085
Agrawal, Om P.
186
2002
Time fractional diffusion: A discrete random walk approach. Zbl 1009.82016
Gorenflo, Rudolf; Mainardi, Francesco; Moretti, Daniele; Paradisi, Paolo
137
2002
Discrete fractional logistic map and its chaos. Zbl 1281.34121
Wu, Guo-Cheng; Baleanu, Dumitru
120
2014
Bifurcations in nonlinear discontinuous systems. Zbl 0980.70018
Leine, R. I.; van Campen, D. H.; van de Vrande, B. L.
108
2000
Anlogue realizations of fractional-order controllers. Zbl 1041.93022
Podlubny, I.; Petráš, I.; Vinagre, B. M.; O’Leary, P.; Dorčák, L’.
105
2002
Spectral properties of dynamical systems, model reduction and decompositions. Zbl 1098.37023
Mezić, Igor
104
2005
Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. Zbl 1170.76317
Abbasbandy, S.; Zakaria, F. Samadian
99
2008
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.
98
2007
Fractional conservation laws in optimal control theory. Zbl 1170.49017
Frederico, Gastão S. F.; Torres, Delfim F. M.
98
2008
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation. Zbl 1345.65060
Bhrawy, A. H.; Zaky, M. A.
96
2015
Noether-type symmetries and conservation laws via partial Lagrangians. Zbl 1121.70014
Kara, A. H.; Mahomed, F. M.
94
2006
Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations. Zbl 1354.35127
Ma, Wen Xiu; Qin, Zhenyun; Lü, Xing
93
2016
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.
78
2005
Homotopy solutions for a generalized second-grade fluid past a porous plate. Zbl 1094.76005
Hayat, Tasawar; Khan, Masood
77
2005
Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation. Zbl 1355.35159
Lü, Xing; Ma, Wen-Xiu
76
2016
Dynamics and control of initialized fractional-order systems. Zbl 1021.93019
Hartley, Tom T.; Lorenzo, Carl F.
75
2002
Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081
Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil
73
2012
Adaptive synchronization of fractional-order memristor-based neural networks with time delay. Zbl 1348.93159
Bao, Haibo; Park, Ju H.; Cao, Jinde
71
2015
Analytical stability bound for a class of delayed fractional-order dynamic systems. Zbl 1020.34064
Chen, Yangquan; Moore, Kevin L.
70
2002
Exponential input-to-state stability of stochastic Cohen-Grossberg neural networks with mixed delays. Zbl 1345.92019
Zhu, Quanxin; Cao, Jinde; Rakkiyappan, R.
69
2015
Numerical solution of the Klein-Gordon equation via He’s variational iteration method. Zbl 1179.81064
Shakeri, Fatemeh; Dehghan, Mehdi
68
2008
Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105
Odibat, Zaid M.
65
2010
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
64
2012
Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. Zbl 1215.93114
Mahmoud, Gamal M.; Mahmoud, Emad E.
64
2010
Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1349.35007
Lü, Xing; Chen, Shou-Ting; Ma, Wen-Xiu
60
2016
Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations. Zbl 1038.34075
Das, S. L.; Chatterjee, A.
60
2002
A study of the nonlinear response of a resonant microbeam to an electric actuation. Zbl 1047.74027
Younis, M. I.; Nayfeh, A. H.
59
2003
A review of operational matrices and spectral techniques for fractional calculus. Zbl 1348.65106
Bhrawy, Ali H.; Taha, Taha M.; Tenreiro Machado, José A.
59
2015
Fractional control of heat diffusion systems. Zbl 1210.80008
Jesus, Isabel S.; Tenreiro Machado, J. A.
58
2008
Lie symmetry analysis of differential equations in finance. Zbl 0929.35006
Gazizov, R. K.; Ibragimov, N. H.
57
1998
Adaptive synchronization of uncertain dynamical networks with delayed coupling. Zbl 1182.92007
Lu, Jianquan; Cao, Jinde
57
2008
Finite-time synchronization control for uncertain Markov jump neural networks with input constraints. Zbl 1331.92019
Shen, Hao; Park, Ju H.; Wu, Zheng-Guang
56
2014
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.
55
2008
Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays. Zbl 1331.93102
Stamova, Ivanka
53
2014
\(p\)th moment exponential synchronization for stochastic delayed Cohen-Grossberg neural networks with Markovian switching. Zbl 1242.93126
Zhu, Quanxin; Cao, Jinde
53
2012
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
53
2010
Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations. Zbl 1005.70019
Kalmár-Nagy, Tamás; Stépán, Gábor; Moon, Francis C.
52
2001
Finite-time synchronization of complex networks with nonidentical discontinuous nodes. Zbl 1281.34100
Yang, Xinsong; Wu, Zhiyou; Cao, Jinde
51
2013
Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction. Zbl 1170.70355
Nayfeh, Ali H.
51
2008
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
50
2014
Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure. Zbl 1176.92056
Qu, Ying; Wei, Junjie
49
2007
Gradient-based identification methods for Hammerstein nonlinear ARMAX models. Zbl 1134.93321
Ding, Feng; Shi, Yang; Chen, Tongwen
49
2006
Fractional dynamical system and its linearization theorem. Zbl 1268.34019
Li, Changpin; Ma, Yutian
49
2013
Fractional boundary value problems with singularities in space variables. Zbl 1268.34023
O’Regan, Donal; Staněk, Svatoslav
49
2013
Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique. Zbl 1314.93013
Wang, Cheng; Tang, Tao
48
2014
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
48
2012
Conservation laws for time-fractional subdiffusion and diffusion-wave equations. Zbl 1345.35131
Lukashchuk, Stanislav Yu.
48
2015
Numerical algorithm for the variable-order Caputo fractional functional differential equation. Zbl 1349.65505
Bhrawy, A. H.; Zaky, M. A.
47
2016
Analysis of thin beams and cables using the absolute nodal co-ordinate formulation. Zbl 1138.74391
Gerstmayr, Johannes; Shabana, Ahmed A.
47
2006
Abstract Cauchy problem for fractional differential equations. Zbl 1268.34034
Wang, Jinrong; Zhou, Yong; Feckan, Michal
47
2013
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.
47
2015
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.
46
2000
Resonances of a harmonically forced Duffing oscillator with time delay state feedback. Zbl 0906.34052
Hu, Haiyan; Dowell, Earl H.; Virgin, Lawrence N.
46
1998
Ši’lnikov chaos in the generalized Lorenz canonical form of dynamical systems. Zbl 1142.70012
Zhou, Tianshou; Chen, Guanrong; Čelikovský, Sergej
46
2005
Global properties of a class of virus infection models with multitarget cells. Zbl 1254.92064
Elaiw, A. M.
46
2012
A numerical method for KdV equation using collocation and radial basis functions. Zbl 1185.76832
Dehghan, Mehdi; Shokri, Ali
45
2007
Fractional integration and differentiation of variable order: an overview. Zbl 1268.34025
Samko, Stefan
45
2013
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.
45
2011
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
Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Zbl 0899.70005
Anitescu, M.; Potra, F. A.
44
1997
A general mechanism to generate three limit cycles in planar Filippov systems with two zones. Zbl 1314.37031
Freire, Emilio; Ponce, Enrique; Torres, Francisco
44
2014
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
Finite time integral sliding mode control of hypersonic vehicles. Zbl 1281.70016
Sun, Haibin; Li, Shihua; Sun, Changyin
43
2013
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
42
2014
Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations. Zbl 1349.37031
Kuznetsov, N. V.; Alexeeva, T. A.; Leonov, G. A.
42
2016
Sampled-data-based lag synchronization of chaotic delayed neural networks with impulsive control. Zbl 1380.34082
Zhang, Xiaoyu; Lv, Xiaoxiao; Li, Xiaodi
42
2017
Generalized projective synchronization of the fractional-order Chen hyperchaotic system. Zbl 1176.70029
Wu, Xiangjun; Lu, Yang
42
2009
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
42
2012
Global exponential estimates for uncertain Markovian jump neural networks with reaction-diffusion terms. Zbl 1411.60114
Shen, Hao; Huang, Xia; Zhou, Jianping; Wang, Zhen
42
2012
Dynamic pull-in phenomenon in MEMS resonators. Zbl 1177.74191
Nayfeh, Ali H.; Younis, Mohammad I.; Abdel-Rahman, Eihab M.
41
2007
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
Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011
Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M.
40
1998
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
40
2009
Modified projective synchronization of fractional-order chaotic systems via active sliding mode control. Zbl 1253.93023
Wang, Xingyuan; Zhang, Xiaopeng; Ma, Chao
40
2012
LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121
Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru
40
2013
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
Chaos and Hopf bifurcation of a finance system. Zbl 1183.91193
Gao, Qin; Ma, Junhai
39
2009
Description of elastic forces in absolute nodal coordinate formulation. Zbl 1041.74547
Sopanen, Jussi T.; Mikkola, Aki M.
38
2003
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
38
2013
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
38
2015
Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators. Zbl 0999.70019
Gendelman, Oleg V.
38
2001
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
38
2015
Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales. Zbl 0994.65140
Yu, Pei
37
2002
Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A.
37
2015
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.
37
2018
The dynamics of two coupled van der Pol oscillators with delay coupling. Zbl 1021.70010
Wirkus, Stephen; Rand, Richard
37
2002
The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables. Zbl 1005.70023
Manevitch, L. I.
37
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.
37
2004
Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system. Zbl 1170.70365
Mahmoud, Gamal M.; Aly, Shaban A.; Al-Kashif, M. A.
37
2008
Adaptive synchronization of fractional-order chaotic systems via a single driving variable. Zbl 1242.93030
Zhang, Ruoxun; Yang, Shiping
37
2011
Adaptive robust fuzzy control for a class of uncertain chaotic systems. Zbl 1176.93040
Liu, Yanjun; Zheng, Yaqin
37
2009
Phase and antiphase synchronization of two identical hyperchaotic complex nonlinear systems. Zbl 1204.93096
Mahmoud, Gamal M.; Mahmoud, Emad E.
37
2010
Synchronization of reaction-diffusion neural networks with time-varying delays via stochastic sampled-data controller. Zbl 1331.92018
Rakkiyappan, R.; Dharani, S.; Zhu, Quanxin
37
2015
Fractional calculus via functional calculus: Theory and applications. Zbl 1026.47010
Kempfle, Siegmar; Schäfer, Ingo; Beyer, Horst
36
2002
Bifurcation analysis in a delayed Lotka-Volterra predator-prey model with two delays. (Bifurcation analysis in a delayed Lokta-Volterra predator-prey model with two delays.) Zbl 1297.37044
Xu, Changjin; Tang, Xianhua; Liao, Maoxin; He, Xiaofei
36
2011
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
10
2020
Barrier Lyapunov functions-based fixed-time stabilization of nonholonomic systems with unmatched uncertainties and time-varying output constraints. Zbl 1434.70037
Yao, Hejun; Gao, Fangzheng; Huang, Jiacai; Wu, Yuqiang
2
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
2
2020
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.
1
2020
Limit cycles at oversteer vehicle. Zbl 1430.70082
Steindl, Alois; Edelmann, Johannes; Plöchl, Manfred
1
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
1
2020
Multifidelity modeling and comparative analysis of electrically coupled microbeams under squeeze-film damping effect. Zbl 1430.70065
Najar, Fehmi; Ghommem, Mehdi; Abdelkefi, Abdessattar
1
2020
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.
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
Local modal participation analysis of nonlinear systems using Poincaré linearization. Zbl 1430.70088
Hamzi, Boumediene; Abed, Eyad H.
1
2020
Fractional nonlinear dynamics of learning with memory. Zbl 1459.34046
Tarasov, Vasily E.
1
2020
Stochastic bifurcations in a nonlinear tri-stable energy harvester under colored noise. Zbl 1459.34134
Zhang, Yanxia; Jin, Yanfei; Xu, Pengfei; Xiao, Shaomin
1
2020
A constrained error-based MPC for path following of quadrotor with stability analysis. Zbl 1459.93069
Eskandarpour, Abolfazl; Sharf, Inna
1
2020
Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics. Zbl 1459.35076
Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui; Jia, Ting-Ting
1
2020
Existence of invariant curves for a Fermi-type impact absorber. Zbl 1434.70045
Cao, Zhenbang; Zhang, Xiaoming; Li, Denghui; Yin, Shan; Xie, Jianhua
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
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
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
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
1
2020
Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach. Zbl 1434.35182
Liu, Nan; Guo, Boling
1
2020
Parrondo’s paradox from classical to quantum: a review. Zbl 1434.81013
Lai, Joel Weijia; Cheong, Kang Hao
1
2020
Hidden dynamics in a fractional-order memristive Hindmarsh-Rose model. Zbl 1434.34018
Yu, Yajuan; Shi, Min; Kang, Huiyan; Chen, Mo; Bao, Bocheng
1
2020
Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera. Zbl 1434.92015
Bao, Han; Zhang, Yunzhen; Liu, Wenbo; Bao, Bocheng
1
2020
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
10
2019
Phase-shift controlling of three solitons in dispersion-decreasing fibers. Zbl 1430.78006
Liu, Suzhi; Zhou, Qin; Biswas, Anjan; Liu, Wenjun
9
2019
Chaotic system with bondorbital attractors. Zbl 1430.37045
Zhang, Xin; Wang, Chunhua; Yao, Wei; Lin, Hairong
9
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
Modelings and mechanism analysis underlying both the 4D Euler equations and Hamiltonian conservative chaotic systems. Zbl 1432.70020
Qi, Guoyuan
8
2019
Conditional symmetry: bond for attractor growing. Zbl 1439.94108
Li, Chunbiao; Xu, Yujie; Chen, Guanrong; Liu, Yongjian; Zheng, Jincun
8
2019
Evolutionary dynamics of cooperation in the public goods game with pool exclusion strategies. Zbl 1431.91033
Liu, Linjie; Chen, Xiaojie; Perc, Matjaž
7
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
7
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
7
2019
Numerical investigation of the nonlinear modified anomalous diffusion process. Zbl 1430.60091
Nikan, O.; Tenreiro Machado, J. A.; Golbabai, A.; Nikazad, T.
6
2019
Combined open-loop and funnel control for underactuated multibody systems. Zbl 1432.93102
Berger, Thomas; Otto, Svenja; Reis, Timo; Seifried, Robert
6
2019
Bursting oscillations and coexisting attractors in a simple memristor-capacitor-based chaotic circuit. Zbl 1430.94112
Wang, Ning; Zhang, Guoshan; Bao, Han
5
2019
Three-dimensional optical solitons formed by the balance between different-order nonlinearities and high-order dispersion/diffraction in parity-time symmetric potentials. Zbl 1430.78005
Dai, Chao-Qing; Fan, Yan; Wang, Yue-Yue
5
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
5
2019
An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique. Zbl 1430.34005
Hassani, H.; Machado, J. A. Tenreiro; Avazzadeh, Z.
5
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
5
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.
4
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
4
2019
New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions. Zbl 1430.37078
Wazwaz, Abdul-Majid; Kaur, Lakhveer
4
2019
Dynamical behavior of a fractional three-species food chain model. Zbl 1432.37115
Alidousti, J.; Mostafavi Ghahfarokhi, M.
4
2019
Global synchronization in fixed time for semi-Markovian switching complex dynamical networks with hybrid couplings and time-varying delays. Zbl 1432.93155
Wang, Zhibo; Wu, Huaiqin
4
2019
A critical analysis of the conformable derivative. Zbl 1437.26006
Abdelhakim, Ahmed A.; Machado, José A. Tenreiro
4
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
4
2019
ELECTRE II method to deal with probabilistic linguistic term sets and its application to edge computing. Zbl 1437.91154
Lin, Mingwei; Chen, Zheyu; Liao, Huchang; Xu, Zeshui
4
2019
Patterns of interaction of coupled reaction-diffusion systems of the Fitzhugh-Nagumo type. Zbl 1430.35136
Zhang, Chunrui; Ke, Ai; Zheng, Baodong
3
2019
Non-fragile saturation control of nonlinear positive Markov jump systems with time-varying delays. Zbl 1430.60069
Zhang, Junfeng; Raïssi, Tarek; Li, Shicheng
3
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
3
2019
Nonlinear vibration of axially moving beams with internal resonance, speed-dependent tension, and tension-dependent speed. Zbl 1430.74093
Tang, You-Qi; Ma, Zhao-Guang
3
2019
Spatiotemporal dynamics near the Turing-Hopf bifurcation in a toxic-phytoplankton-zooplankton model with cross-diffusion. Zbl 1430.37119
Wang, Wen; Liu, Shutang; Liu, Zhibin
3
2019
Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation. Zbl 1430.37077
Wang, Xin; Wei, Jiao; Wang, Lei; Zhang, Jianlin
3
2019
Dynamics of a vibro-impact system by the global analysis method in parameter-state space. Zbl 1430.34054
Li, Guofang; Sun, Jie; Ding, Wangcai
3
2019
Complexity of a dynamic hybrid supply chain game model with a service factor. Zbl 1431.90028
Tu, Hongliang; Mao, Xiaobing; Wang, Xinyu
3
2019
Capacitor coupling induces synchronization between neural circuits. Zbl 1430.94110
Liu, Zhilong; Wang, Chunni; Jin, Wuyin; Ma, Jun
3
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
3
2019
Complex simplified Hirota’s forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation. Zbl 1432.37093
Wazwaz, Abdul-Majid; Kaur, Lakhveer
3
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
3
2019
Stripe solitons and lump solutions for a generalized Kadomtsev-Petviashvili equation with variable coefficients in fluid mechanics. Zbl 1437.35583
Liu, Jian-Guo; Ye, Qing
3
2019
Multiplicative of dual-waves generated upon increasing the phase velocity parameter embedded in dual-mode Schrödinger with nonlinearity Kerr laws. Zbl 1437.35614
Alquran, Marwan; Jaradat, Imad
3
2019
Synchronization realization between two nonlinear circuits via an induction coil coupling. Zbl 1437.94111
Yao, Zhao; Ma, Jun; Yao, Yuangen; Wang, Chunni
3
2019
Dynamic analysis of fractional-order predator-prey biological economic system with Holling type II functional response. Zbl 1437.37119
El-Saka, H. A. A.; Lee, Seyeon; Jang, Bongsoo
3
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
3
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.
3
2019
On the global dynamics of connected vehicle systems. Zbl 1437.70046
Kiss, Adam K.; Avedisov, Sergei S.; Bachrathy, Daniel; Orosz, Gábor
3
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
3
2019
Phase shift, oscillation and collision of the anti-dark solitons for the \((3+1)\)-dimensional coupled nonlinear Schrödinger equation in an optical fiber communication system. Zbl 1430.35217
Yu, Weitian; Liu, Wenjun; Triki, Houria; Zhou, Qin; Biswas, Anjan
2
2019
Chaotic resonance in Hodgkin-Huxley neuron. Zbl 1430.92015
Baysal, Veli; Saraç, Zehra; Yilmaz, Ergin
2
2019
Logistic equation with continuously distributed lag and application in economics. Zbl 1430.37128
Tarasov, Vasily E.; Tarasova, Valentina V.
2
2019
PID: a PDF-induced distance based on permutation cross-distribution entropy. Zbl 1430.62196
He, Jiayi; Shang, Pengjian; Zhang, Yali
2
2019
Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge. Zbl 1430.37121
Zhou, Yong; Sun, Wen; Song, Yinfang; Zheng, Zhigang; Lu, Jinhu; Chen, Shihua
2
2019
Nonholonomic rolling of a ball on the surface of a rotating cone. Zbl 1430.37068
Borisov, Alexey V.; Ivanova, Tatiana B.; Kilin, Alexander A.; Mamaev, Ivan S.
2
2019
Dynamic consensus of nonlinear time-delay multi-agent systems with input saturation: an impulsive control algorithm. Zbl 1430.93196
Liu, Xiaolu; Xiao, Jiang-Wen; Chen, Duxin; Wang, Yan-Wu
2
2019
Analytic prediction of isolated forced response curves from spectral submanifolds. Zbl 1430.70073
Ponsioen, S.; Pedergnana, T.; Haller, George
2
2019
Basic mechanisms of escape of a harmonically forced classical particle from a potential well. Zbl 1430.70004
Gendelman, O. V.; Karmi, G.
2
2019
A Taylor series-based continuation method for solutions of dynamical systems. Zbl 1430.37099
Guillot, Louis; Cochelin, Bruno; Vergez, Christophe
2
2019
Lie symmetry reductions and group invariant solutions of \((2+1)\)-dimensional modified Veronese web equation. Zbl 1430.37086
Kumar, Sachin; Kumar, Amit
2
2019
Adaptive neural network finite time control for quadrotor UAV with unknown input saturation. Zbl 1430.70036
Xu, Qingzheng; Wang, Zhisheng; Zhen, Ziyang
2
2019
Broken and unbroken \(\mathcal{PT}\)-symmetric solutions of semi-discrete nonlocal nonlinear Schrödinger equation. Zbl 1430.37084
Hanif, Y.; Saleem, U.
2
2019
Novel characteristics of lump and lump-soliton interaction solutions to the generalized variable-coefficient Kadomtsev-Petviashvili equation. Zbl 1430.74075
Xu, Hui; Ma, Zhengyi; Fei, Jinxi; Zhu, Quanyong
2
2019
Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers. Zbl 1430.35210
Ma, Yu-Lan
2
2019
Nonlinear dynamics of a viscoelastic traveling beam with time-dependent axial velocity and variable axial tension. Zbl 1430.74090
Sahoo, Bamadev
2
2019
Generalized Wright stability for distributed fractional-order nonlinear dynamical systems and their synchronization. Zbl 1430.34007
Mahmoud, Gamal M.; Aboelenen, Tarek; Abed-Elhameed, Tarek M.; Farghaly, Ahmed A.
2
2019
Critical elastic parameters motivating divergence instability of frictional composite infinitely long media. Zbl 1430.70078
Agwa, M. A.
2
2019
Analytical analysis of the vibrational tristable energy harvester with a RL resonant circuit. Zbl 1430.94109
Huang, Dongmei; Zhou, Shengxi; Litak, Grzegorz
2
2019
Stability analysis for stochastic complex-valued delayed networks with multiple nonlinear links and impulsive effects. Zbl 1430.34020
Wang, Pengfei; Sun, Zhenyao; Fan, Meng; Su, Huan
2
2019
Generating mechanism and dynamic of the smooth positons for the derivative nonlinear Schrödinger equation. Zbl 1430.35212
Song, Wenjuan; Xu, Shuwei; Li, Maohua; He, Jingsong
2
2019
Designing multi-dimensional logistic map with fixed-point finite precision. Zbl 1430.68094
Munir, Fahad A.; Zia, Muhammad; Mahmood, Hasan
2
2019
Fuzzy dissipative and observer control for wind generator systems: a fuzzy time-dependent LKF approach. Zbl 1430.93131
Saravanakumar, Ramasamy; Joo, Young Hoon
2
2019
Non-stationary response statistics of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitation. Zbl 1430.35228
Fragkoulis, V. C.; Kougioumtzoglou, I. A.; Pantelous, A. A.; Beer, M.
2
2019
Rogue waves generation through multiphase solutions degeneration for the derivative nonlinear Schrödinger equation. Zbl 1430.35215
Xu, Shuwei; He, Jingsong; Mihalache, Dumitru
2
2019
First integrals and analytical solutions of some dynamical systems. Zbl 1432.37084
Haq, B. U.; Naeem, Imran
2
2019
Distributed adaptive fault-tolerant attitude tracking of multiple flexible spacecraft on \(\mathrm{SO}(3)\). Zbl 1432.70047
Chen, Ti; Shan, Jinjun
2
2019
Traveling chimera states for coupled pendula. Zbl 1432.70024
Dudkowski, Dawid; Czołczyński, Krzysztof; Kapitaniak, Tomasz
2
2019
Dynamics of some novel breather solutions and rogue waves for the PT-symmetric nonlocal soliton equations. Zbl 1432.37094
Yu, Fajun; Li, Li
2
2019
Dynamics of a stochastic system driven by cross-correlated sine-Wiener bounded noises. Zbl 1432.60065
Wang, Can-Jun; Lin, Qiao-Feng; Yao, Yuan-Gen; Yang, Ke-Li; Tian, Meng-Yu; Wang, Ya
2
2019
Amplitude death islands in globally delay-coupled fractional-order oscillators. Zbl 1432.34048
Xiao, Rui; Sun, Zhongkui; Yang, Xiaoli; Xu, Wei
2
2019
Nonlinear vibration of a beam with asymmetric elastic supports. Zbl 1432.74110
Ding, Hu; Li, Yi; Chen, Li-Qun
2
2019
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186 Cao, Jinde
156 Băleanu, Dumitru I.
144 Hayat, Tasawar
102 Machado, José António Tenreiro
96 Park, Juhyun (Jessie)
92 Zhang, Wei
85 Zhong, Shou-Ming
84 Ding, Feng
66 Chen, Guanrong
60 Ahmad, Bashir
60 Xu, Wei
58 Dehghan Takht Fooladi, Mehdi
55 Chen, Yangquan
55 Llibre, Jaume
54 Liu, Fawang
53 Wang, Zhen
49 Rakkiyappan, Rajan
47 Jiang, Haijun
47 Mahomed, Fazal M.
47 Pham, Viet-Thanh
47 Sakthivel, Rathinasamy
46 Al-saedi, Ahmed Eid Salem
46 Ma, Wen-Xiu
46 Zhu, Quanxin
45 Chen, Liqun
44 Wang, Xingyuan
43 Chen, Zengqiang
43 Liao, Xiaofeng
42 Biswas, Anjan
41 Balasubramaniam, Pagavathigounder
40 Ntouyas, Sotiris K.
40 Torres, Delfim Fernando Marado
39 Elaiw, Ahmed M.
39 Huang, Tingwen
39 Kwon, O. M.
37 Abbasbandy, Saeid
37 Huang, Lihong
37 Jafari, Sajad
37 Kara, Abdul Hamid
37 Yang, Qigui
36 Cheng, Jun
36 Luo, Albert C. J.
35 Alsaadi, Fuad Eid S.
35 Hu, Cheng
35 Li, Changpin
35 Wei, Zhouchao
35 Zhu, Weiqiu
34 Awrejcewicz, Jan
34 Khalique, Chaudry Masood
34 Ouannas, Adel
34 Zhang, Tonghua
33 Bhrawy, Ali Hassan
33 Liu, Xinzhi
33 Teng, Zhi-dong
32 Abdeljawad, Thabet
32 Chen, Fangqi
32 Sajid, Muhammad
32 Sprott, Julien Clinton
32 Tang, Sanyi
32 Zhang, Qingling
31 Belhaq, Mohamed
31 Lamarque, Claude-Henri
31 Ma, Junhai
31 Rega, Giuseppe
31 Xu, Jian
30 Rodríguez-Luis, Alejandro J.
30 Wu, Ranchao
29 Agarwal, Ravi P.
29 Li, Chuandong
29 Shi, Kaibo
29 Tian, Bo
29 Vakakis, Alexander F.
29 Wei, Junjie
29 Xia, Yonghui
28 Feng, Jianwen
28 Hashim, Ishak
28 Jiang, Weihua
28 Turner, Ian William
28 Yang, Xinsong
28 Yao, Minghui
28 Zhang, Yi
28 Zhou, Wuneng
27 Ali, M. Syed
27 Lenci, Stefano
27 Li, Wenxue
27 Li, Xiaodi
27 Liu, Shutang
27 Odibat, Zaid M.
27 Song, Yongli
26 Algaba, Antonio
26 Balthazar, José Manoel
26 Gómez-Aguilar, José Francisco
26 Kapitaniak, Tomasz
26 Momani, Shaher M.
26 Nayfeh, Ali Hasan
26 Wang, Jinrong
26 Yu, Yongguang
25 Chen, Liping
25 Danca, Marius-Florin
25 Elsadany, Abdelalim A.
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Cited in 562 Journals

2,940 Nonlinear Dynamics
771 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
725 Journal of the Franklin Institute
724 Applied Mathematics and Computation
607 Communications in Nonlinear Science and Numerical Simulation
532 Mathematical Problems in Engineering
505 Chaos, Solitons and Fractals
422 Advances in Difference Equations
327 Complexity
311 Chaos
303 Applied Mathematical Modelling
300 Computers & Mathematics with Applications
243 Abstract and Applied Analysis
208 Discrete Dynamics in Nature and Society
195 Multibody System Dynamics
171 Journal of Vibration and Control
156 Acta Mechanica
145 International Journal of Control
136 Journal of Computational and Applied Mathematics
132 Fractional Calculus & Applied Analysis
128 Automatica
127 Applied Mathematics Letters
125 Nonlinear Analysis. Real World Applications
123 Journal of Mathematical Analysis and Applications
122 Neural Networks
115 Meccanica
111 Computational and Applied Mathematics
106 Mathematical Methods in the Applied Sciences
106 Circuits, Systems, and Signal Processing
105 Mathematics and Computers in Simulation
99 Nonlinear Analysis. Hybrid Systems
97 International Journal of Systems Science. Principles and Applications of Systems and Integration
94 European Journal of Mechanics. A. Solids
91 International Journal of Biomathematics
88 Computer Methods in Applied Mechanics and Engineering
87 Information Sciences
86 Applied Numerical Mathematics
86 Asian Journal of Control
85 Journal of Applied Analysis and Computation
83 Physica D
80 Journal of Applied Mathematics
78 Journal of Computational Physics
77 Advances in Mathematical Physics
72 International Journal of Applied and Computational Mathematics
70 Acta Mechanica Sinica
68 Nonlinear Analysis. Modelling and Control
66 International Journal of Nonlinear Sciences and Numerical Simulation
66 Journal of Applied Mathematics and Computing
65 Discrete and Continuous Dynamical Systems. Series B
63 Journal of Mathematical Physics
61 Numerical Algorithms
57 Physica A
57 Archive of Applied Mechanics
53 Fuzzy Sets and Systems
53 Journal of Differential Equations
51 Physics Letters. A
50 International Journal of Computer Mathematics
49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
49 Mathematical Biosciences and Engineering
47 International Journal of Robust and Nonlinear Control
46 SIAM Journal on Applied Dynamical Systems
45 International Journal of Engineering Science
45 European Journal of Control
44 Numerical Methods for Partial Differential Equations
44 Journal of Nonlinear Science
44 Qualitative Theory of Dynamical Systems
44 Journal of Systems Science and Complexity
43 Journal of Optimization Theory and Applications
42 International Journal of Theoretical Physics
42 Mathematical and Computer Modelling
40 ZAMP. Zeitschrift für angewandte Mathematik und Physik
40 Applied Mathematics and Mechanics. (English Edition)
39 Computational Mechanics
39 Differential Equations and Dynamical Systems
39 Journal of Nonlinear Mathematical Physics
39 Journal of Nonlinear Science and Applications
39 Journal of Control Science and Engineering
39 AMM. Applied Mathematics and Mechanics. (English Edition)
38 Mathematical Biosciences
38 Engineering Analysis with Boundary Elements
37 Systems & Control Letters
37 Discrete and Continuous Dynamical Systems. Series S
36 Journal of Fluid Mechanics
33 Journal of Difference Equations and Applications
32 Mathematical Modelling of Natural Phenomena
31 Communications in Theoretical Physics
30 Journal of Theoretical Biology
28 International Journal for Numerical Methods in Engineering
28 International Journal of Adaptive Control and Signal Processing
28 Symmetry
27 Continuum Mechanics and Thermodynamics
27 International Journal of Differential Equations
26 Applicable Analysis
26 International Journal for Numerical Methods in Fluids
26 Journal of Scientific Computing
25 Boundary Value Problems
24 International Journal of Modern Physics B
24 Acta Applicandae Mathematicae
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Cited in 58 Fields

5,869 Ordinary differential equations (34-XX)
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825 Fluid mechanics (76-XX)
621 Probability theory and stochastic processes (60-XX)
601 Information and communication theory, circuits (94-XX)
499 Computer science (68-XX)
439 Calculus of variations and optimal control; optimization (49-XX)
409 Operations research, mathematical programming (90-XX)
380 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
277 Difference and functional equations (39-XX)
260 Operator theory (47-XX)
238 Integral equations (45-XX)
175 Statistical mechanics, structure of matter (82-XX)
171 Optics, electromagnetic theory (78-XX)
149 Special functions (33-XX)
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116 Statistics (62-XX)
113 Quantum theory (81-XX)
102 Combinatorics (05-XX)
87 Global analysis, analysis on manifolds (58-XX)
75 Approximations and expansions (41-XX)
71 Geophysics (86-XX)
67 Relativity and gravitational theory (83-XX)
66 Harmonic analysis on Euclidean spaces (42-XX)
65 Integral transforms, operational calculus (44-XX)
58 Linear and multilinear algebra; matrix theory (15-XX)
45 Measure and integration (28-XX)
44 Differential geometry (53-XX)
39 Topological groups, Lie groups (22-XX)
32 Functional analysis (46-XX)
27 General and overarching topics; collections (00-XX)
23 Nonassociative rings and algebras (17-XX)
22 History and biography (01-XX)
20 Number theory (11-XX)
18 Functions of a complex variable (30-XX)
16 General topology (54-XX)
14 Mathematical logic and foundations (03-XX)
9 Astronomy and astrophysics (85-XX)
7 Abstract harmonic analysis (43-XX)
6 Group theory and generalizations (20-XX)
5 Potential theory (31-XX)
5 Sequences, series, summability (40-XX)
4 Commutative algebra (13-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Mathematics education (97-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 General algebraic systems (08-XX)
2 Field theory and polynomials (12-XX)
2 Algebraic geometry (14-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)

Citations by Year