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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: https://link.springer.com/journal/11071/volumes-and-issues
Comments: Journal
Documents Indexed: 4,978 Publications (since 1997)
References Indexed: 4,415 Publications with 152,777 References.
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Latest Issues

111, No. 21 (2023)
111, No. 20 (2023)
111, No. 18 (2023)
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86, No. 4 (2016)
86, No. 3 (2016)
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...and 235 more Volumes
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Authors

45 Nayfeh, Ali Hasan
45 Park, Juhyun (Jessie)
38 Cao, Jinde
30 Zhang, Wei
29 Machado, José António Tenreiro
25 Băleanu, Dumitru I.
24 Biswas, Anjan
24 Shabana, Ahmed A.
22 Llibre, Jaume
22 Vakakis, Alexander F.
21 Chen, Zengqiang
21 Rand, Richard H.
21 Wang, Xingyuan
20 van Horssen, Wilhem Teunis
20 Zhou, Qin
19 Awrejcewicz, Jan
19 Ding, Feng
19 Liao, Xiaofeng
19 Tian, Bo
18 Ahn, Choon Ki
18 Belhaq, Mohamed
18 Chen, Lansun
18 Mahomed, Fazal M.
18 Mirzazadeh, Mohammad
17 Chen, Liqun
17 Gendelman, Oleg V.
17 Lamarque, Claude-Henri
16 Gao, Yitian
16 Kara, Abdul Hamid
15 Balthazar, José Manoel
15 Liu, Wenjun J.
15 Xu, Wei
15 Yabuno, Hiroshi
14 Aghababa, Mohammad Pourmahmood
14 Balasubramaniam, Pagavathigounder
14 Hayat, Tasawar
14 Luongo, Angelo
14 Mobayen, Saleh
13 Bergman, Lawrence A.
13 Chen, Guanrong
13 Chen, Yangquan
13 Fang, Jian’an
13 Hu, Haiyan
13 Lü, Xing
13 Wang, Zuolei
13 Yoo, Sung Jin
12 Lee, Shen-Ming
12 Li, Chuandong
12 Maccari, Attilio
12 Rakkiyappan, Rajan
12 Rega, Giuseppe
12 Sakthivel, Rathinasamy
12 Shang, Pengjian
12 Tong, Shaocheng
12 Zhou, Wuneng
11 Chatterjee, Anindya
11 Ibragimov, Nail Hairullovich
11 Liu, Shutang
11 Mahmoud, Gamal M.
11 Natsiavas, Sotirios
11 Oustaloup, Alain
11 Shi, Xuerong
11 Stépán, Gábor
11 Yang, Qigui
11 Yao, Minghui
11 Zhong, Shou-Ming
10 Algaba, Antonio
10 Belić, Milivoj R.
10 Butcher, Eric A.
10 Danca, Marius-Florin
10 Hajj, Muhammad R.
10 Huang, Lihong
10 Jiang, Weihua
10 Li, Tieshan
10 Liu, Zhi
10 Pilipchuk, Valery N.
10 Qi, Guoyuan
10 Rodríguez-Luis, Alejandro J.
10 Sinha, Subhash C.
10 Xu, Yuhua
10 Younesian, Davood
10 Zhang, Yun
10 Zotos, Euaggelos E.
9 Bi, Qinsheng
9 Chen, Ye-Hwa
9 Feeny, Brian F.
9 Feng, Jianwen
9 Huang, Tingwen
9 Kwon, Ohmin
9 Lenci, Stefano
9 Li, Yongming
9 Liu, Chongxin
9 Ma, Junhai
9 Ma, Wen-Xiu
9 Neild, Simon A.
9 Nijmeijer, Henk
9 Niu, Ben
9 Triki, Houria
9 Wang, Zhen
9 Wazwaz, Abdul-Majid Abdul-Rahman
...and 7,770 more Authors
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Fields

1,584 Systems theory; control (93-XX)
1,434 Ordinary differential equations (34-XX)
1,311 Mechanics of particles and systems (70-XX)
1,238 Dynamical systems and ergodic theory (37-XX)
687 Mechanics of deformable solids (74-XX)
574 Partial differential equations (35-XX)
538 Biology and other natural sciences (92-XX)
233 Information and communication theory, circuits (94-XX)
227 Fluid mechanics (76-XX)
182 Numerical analysis (65-XX)
133 Operations research, mathematical programming (90-XX)
130 Computer science (68-XX)
122 Real functions (26-XX)
116 Optics, electromagnetic theory (78-XX)
97 Probability theory and stochastic processes (60-XX)
87 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
58 Calculus of variations and optimal control; optimization (49-XX)
53 Difference and functional equations (39-XX)
43 Statistics (62-XX)
40 Statistical mechanics, structure of matter (82-XX)
37 Combinatorics (05-XX)
22 Geophysics (86-XX)
21 Operator theory (47-XX)
21 Global analysis, analysis on manifolds (58-XX)
21 Quantum theory (81-XX)
17 Special functions (33-XX)
16 Measure and integration (28-XX)
16 Classical thermodynamics, heat transfer (80-XX)
15 Integral equations (45-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
12 Approximations and expansions (41-XX)
11 History and biography (01-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 General and overarching topics; collections (00-XX)
9 Astronomy and astrophysics (85-XX)
7 Differential geometry (53-XX)
4 Nonassociative rings and algebras (17-XX)
3 Mathematical logic and foundations (03-XX)
3 Number theory (11-XX)
3 Topological groups, Lie groups (22-XX)
3 Integral transforms, operational calculus (44-XX)
3 Functional analysis (46-XX)
3 Relativity and gravitational theory (83-XX)
2 Potential theory (31-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

4,426 Publications have been cited 47,123 times in 25,536 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.
825
2002
Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115
Deng, Weihua; Li, Changpin; Lü, Jinhu
361
2007
Variable order and distributed order fractional operators. Zbl 1018.93007
Lorenzo, Carl F.; Hartley, Tom T.
360
2002
A general formulation and solution scheme for fractional optimal control problems. Zbl 1121.70019
Agrawal, Om Prakash
278
2004
Solution for a fractional diffusion-wave equation defined in a bounded domain. Zbl 1009.65085
Agrawal, Om P.
236
2002
Discrete fractional logistic map and its chaos. Zbl 1281.34121
Wu, Guo-Cheng; Baleanu, Dumitru
193
2014
Spectral properties of dynamical systems, model reduction and decompositions. Zbl 1098.37023
Mezić, Igor
190
2005
Time fractional diffusion: A discrete random walk approach. Zbl 1009.82016
Gorenflo, Rudolf; Mainardi, Francesco; Moretti, Daniele; Paradisi, Paolo
182
2002
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation. Zbl 1345.65060
Bhrawy, A. H.; Zaky, M. A.
138
2015
Anlogue realizations of fractional-order controllers. Zbl 1041.93022
Podlubny, I.; Petráš, I.; Vinagre, B. M.; O’Leary, P.; Dorčák, L’.
121
2002
Bifurcations in nonlinear discontinuous systems. Zbl 0980.70018
Leine, R. I.; van Campen, D. H.; van de Vrande, B. L.
120
2000
Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations. Zbl 1354.35127
Ma, Wen Xiu; Qin, Zhenyun; Lü, Xing
120
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.
116
2005
Noether-type symmetries and conservation laws via partial Lagrangians. Zbl 1121.70014
Kara, A. H.; Mahomed, F. M.
113
2006
Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation. Zbl 1355.35159
Lü, Xing; Ma, Wen-Xiu
111
2016
Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081
Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil
110
2012
Fractional conservation laws in optimal control theory. Zbl 1170.49017
Frederico, Gastão S. F.; Torres, Delfim F. M.
107
2008
Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. Zbl 1170.76317
Abbasbandy, S.; Zakaria, F. Samadian
106
2008
Adaptive synchronization of fractional-order memristor-based neural networks with time delay. Zbl 1348.93159
Bao, Haibo; Park, Ju H.; Cao, Jinde
103
2015
Exponential input-to-state stability of stochastic Cohen-Grossberg neural networks with mixed delays. Zbl 1345.92019
Zhu, Quanxin; Cao, Jinde; Rakkiyappan, R.
103
2015
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
Analytical stability bound for a class of delayed fractional-order dynamic systems. Zbl 1020.34064
Chen, Yangquan; Moore, Kevin L.
85
2002
Dynamics and control of initialized fractional-order systems. Zbl 1021.93019
Hartley, Tom T.; Lorenzo, Carl F.
85
2002
Conservation laws for time-fractional subdiffusion and diffusion-wave equations. Zbl 1345.35131
Lukashchuk, Stanislav Yu.
84
2015
Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays. Zbl 1331.93102
Stamova, Ivanka
84
2014
Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. Zbl 1215.93114
Mahmoud, Gamal M.; Mahmoud, Emad E.
82
2010
Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1349.35007
Lü, Xing; Chen, Shou-Ting; Ma, Wen-Xiu
82
2016
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.
81
2015
A general mechanism to generate three limit cycles in planar Filippov systems with two zones. Zbl 1314.37031
Freire, Emilio; Ponce, Enrique; Torres, Francisco
79
2014
Lie symmetry analysis of differential equations in finance. Zbl 0929.35006
Gazizov, R. K.; Ibragimov, N. H.
78
1998
Homotopy solutions for a generalized second-grade fluid past a porous plate. Zbl 1094.76005
Hayat, Tasawar; Khan, Masood
78
2005
A review of operational matrices and spectral techniques for fractional calculus. Zbl 1348.65106
Bhrawy, Ali H.; Taha, Taha M.; Tenreiro Machado, José A.
78
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
78
2014
Fractional integration and differentiation of variable order: an overview. Zbl 1268.34025
Samko, Stefan
78
2013
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
77
2014
Numerical solution of the Klein-Gordon equation via He’s variational iteration method. Zbl 1179.81064
Shakeri, Fatemeh; Dehghan, Mehdi
75
2008
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
75
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
74
2012
Finite-time synchronization of complex networks with nonidentical discontinuous nodes. Zbl 1281.34100
Yang, Xinsong; Wu, Zhiyou; Cao, Jinde
72
2013
Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105
Odibat, Zaid M.
72
2010
A study of the nonlinear response of a resonant microbeam to an electric actuation. Zbl 1047.74027
Younis, M. I.; Nayfeh, A. H.
69
2003
Fractional control of heat diffusion systems. Zbl 1210.80008
Jesus, Isabel S.; Tenreiro Machado, J. A.
67
2008
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
67
2015
Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A.
67
2015
Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations. Zbl 1038.34075
Das, S. L.; Chatterjee, A.
65
2002
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
65
2013
Sampled-data-based lag synchronization of chaotic delayed neural networks with impulsive control. Zbl 1380.34082
Zhang, Xiaoyu; Lv, Xiaoxiao; Li, Xiaodi
64
2017
Numerical algorithm for the variable-order Caputo fractional functional differential equation. Zbl 1349.65505
Bhrawy, A. H.; Zaky, M. A.
64
2016
\(p\)th moment exponential synchronization for stochastic delayed Cohen-Grossberg neural networks with Markovian switching. Zbl 1242.93126
Zhu, Quanxin; Cao, Jinde
63
2012
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.
63
2018
Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction. Zbl 1170.70355
Nayfeh, Ali H.
62
2008
A numerical method for KdV equation using collocation and radial basis functions. Zbl 1185.76832
Dehghan, Mehdi; Shokri, Ali
62
2007
Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review. Zbl 1134.93300
Chen, Yangquan; Vinagre, Blas M.; Podlubny, Igor
61
2004
Analysis of thin beams and cables using the absolute nodal co-ordinate formulation. Zbl 1138.74391
Gerstmayr, Johannes; Shabana, Ahmed A.
61
2006
Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger’s equations arise in propagation of shallow water waves. Zbl 1355.76015
Kumar, Sunil; Kumar, Amit; Baleanu, Dumitru
61
2016
Fractional dynamical system and its linearization theorem. Zbl 1268.34019
Li, Changpin; Ma, Yutian
61
2013
Chaos and Hopf bifurcation of a finance system. Zbl 1183.91193
Gao, Qin; Ma, Junhai
60
2009
Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations. Zbl 1005.70019
Kalmár-Nagy, Tamás; Stépán, Gábor; Moon, Francis C.
60
2001
On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328
Baleanu, Dumitru; Trujillo, Juan J.
59
2008
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
58
2012
Global exponential stability for quaternion-valued recurrent neural networks with time-varying delays. Zbl 1371.93098
Liu, Yang; Zhang, Dandan; Lu, Jianquan
58
2017
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
57
2010
Adaptive synchronization of uncertain dynamical networks with delayed coupling. Zbl 1182.92007
Lu, Jianquan; Cao, Jinde
57
2008
Abstract Cauchy problem for fractional differential equations. Zbl 1268.34034
Wang, Jinrong; Zhou, Yong; Feckan, Michal
57
2013
LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121
Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru
57
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
56
2014
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.
55
2000
Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Zbl 0899.70005
Anitescu, M.; Potra, F. A.
55
1997
Fractional boundary value problems with singularities in space variables. Zbl 1268.34023
O’Regan, Donal; Staněk, Svatoslav
55
2013
Finite time integral sliding mode control of hypersonic vehicles. Zbl 1281.70016
Sun, Haibin; Li, Shihua; Sun, Changyin
55
2013
Holling II predator-prey impulsive semi-dynamic model with complex Poincaré map. Zbl 1348.34042
Tang, Sanyi; Tang, Biao; Wang, Aili; Xiao, Yanni
54
2015
Global properties of a class of virus infection models with multitarget cells. Zbl 1254.92064
Elaiw, A. M.
54
2012
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.
53
2011
Tuning of PID controllers based on Bode’s ideal transfer function. Zbl 1134.93334
Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Ferreira, Isabel M.
53
2004
Gradient-based identification methods for Hammerstein nonlinear ARMAX models. Zbl 1134.93321
Ding, Feng; Shi, Yang; Chen, Tongwen
53
2006
Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations. Zbl 1349.37031
Kuznetsov, N. V.; Alexeeva, T. A.; Leonov, G. A.
53
2016
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.
53
2002
Resonances of a harmonically forced Duffing oscillator with time delay state feedback. Zbl 0906.34052
Hu, Haiyan; Dowell, Earl H.; Virgin, Lawrence N.
52
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
52
2009
Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique. Zbl 1314.93013
Wang, Cheng; Tang, Tao
52
2014
The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables. Zbl 1005.70023
Manevitch, L. I.
51
2001
The effects of toxin-producing phytoplankton and environmental fluctuations on the planktonic blooms. Zbl 1390.92129
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
51
2018
Ši’lnikov chaos in the generalized Lorenz canonical form of dynamical systems. Zbl 1142.70012
Zhou, Tianshou; Chen, Guanrong; Čelikovský, Sergej
50
2005
Dynamic analysis and control of a new hyperchaotic finance system. Zbl 1242.91225
Yu, Haojie; Cai, Guoliang; Li, Yuxiu
50
2012
Modified projective synchronization of fractional-order chaotic systems via active sliding mode control. Zbl 1253.93023
Wang, Xingyuan; Zhang, Xiaopeng; Ma, Chao
50
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 hybrid computational approach for Klein-Gordon equations on Cantor sets. Zbl 1371.35326
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
49
2017
Synchronization of reaction-diffusion neural networks with time-varying delays via stochastic sampled-data controller. Zbl 1331.92018
Rakkiyappan, R.; Dharani, S.; Zhu, Quanxin
49
2015
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
49
2012
Generalized Lucas polynomial sequence approach for fractional differential equations. Zbl 1384.41003
Abd-Elhameed, W. M.; Youssri, Y. H.
48
2017
Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators. Zbl 0999.70019
Gendelman, Oleg V.
48
2001
Generalized projective synchronization of the fractional-order Chen hyperchaotic system. Zbl 1176.70029
Wu, Xiangjun; Lu, Yang
48
2009
Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion. Zbl 1349.37091
Tang, Xiaosong; Song, Yongli; Zhang, Tonghua
47
2016
The dynamics of two coupled van der Pol oscillators with delay coupling. Zbl 1021.70010
Wirkus, Stephen; Rand, Richard
47
2002
Recursive parameter identification of the dynamical models for bilinear state space systems. Zbl 1377.93062
Zhang, Xiao; Ding, Feng; Alsaadi, Fuad E.; Hayat, Tasawar
47
2017
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.
47
2011
Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011
Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M.
46
1998
Description of elastic forces in absolute nodal coordinate formulation. Zbl 1041.74547
Sopanen, Jussi T.; Mikkola, Aki M.
46
2003
Analyses of the driver’s anticipation effect in a new lattice hydrodynamic traffic flow model with passing. Zbl 1306.90033
Gupta, Arvind Kumar; Redhu, Poonam
46
2014
A Legendre collocation method for distributed-order fractional optimal control problems. Zbl 1392.35331
Zaky, Mahmoud A.
46
2018
Dynamical analysis of a fractional discrete-time vocal system. Zbl 1523.26004
Vignesh, D.; Banerjee, Santo
3
2023
Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions. Zbl 1523.34013
Li, Zunxian; Song, Yongli; Wu, Chufen
2
2023
New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems. Zbl 1523.34082
Lenka, Bichitra Kumar; Bora, Swaroop Nandan
2
2023
Global studies on a continuous planar piecewise linear differential system with three zones. Zbl 1523.34035
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1
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Role of fractional derivatives in the mathematical modeling of the transmission of chlamydia in the United States from 1989 to 2019. Zbl 1523.92017
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Learning sparse nonlinear dynamics via mixed-integer optimization. Zbl 1523.37082
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Nonlinear targeted energy transfer: state of the art and new perspectives. Zbl 1517.70041
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Parsimony as the ultimate regularizer for physics-informed machine learning. Zbl 1517.68337
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Methods of continuation and their implementation in the COCO software platform with application to delay differential equations. Zbl 1517.65129
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Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics. Zbl 1519.35267
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Global existence and spatiotemporal pattern formation of a nutrient-microorganism model with nutrient-taxis in the sediment. Zbl 1519.92329
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Application of the dynamical system method and the deep learning method to solve the new (3+1)-dimensional fractional modified Benjamin-Bona-Mahony equation. Zbl 1523.35108
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On a multiple timescales perturbation approach for a Stefan problem with a time-dependent heat flux at the boundary. Zbl 1526.35218
Ihsan, A. F.; van Horssen, W. T.; Tuwankotta, J. M.
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A novel dynamic model and the oblique interaction for ocean internal solitary waves. Zbl 1517.35187
Yu, Di; Zhang, Zongguo; Dong, Huanhe; Yang, Hongwei
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Dynamic behavior and stability analysis of nonlinear modes in the fourth-order generalized Ginzburg-Landau model with near \(\mathcal{PT}\)-symmetric potentials. Zbl 1517.35221
Zhang, Jia-Rui; Zhang, Jia-Qi; Zheng, Zhao-Lin; Lin, Da; Shen, Yu-Jia
1
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The focus case of a nonsmooth Rayleigh-Duffing oscillator. Zbl 1517.34045
Wang, Zhaoxia; Chen, Hebai; Tang, Yilei
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Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes. Zbl 1519.65030
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A machine learning method for computing quasi-potential of stochastic dynamical systems. Zbl 1519.37046
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1
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Transitions of zonal flows in a two-layer quasi-geostrophic ocean model. Zbl 1519.86001
Chekroun, Mickaël D.; Dijkstra, Henk; Şengül, Taylan; Wang, Shouhong
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Analytical and numerical investigation on the tempered time-fractional operator with application to the Bloch equation and the two-layered problem. Zbl 1521.65073
Feng, Libo; Liu, Fawang; Anh, Vo V.; Qin, Shanlin
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Practical tracking control under actuator saturation for a class of flexible-joint robotic manipulators driven by DC motors. Zbl 1520.93351
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Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types. Zbl 1516.35175
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Input-to-state stability of impulsive reaction-diffusion neural networks with infinite distributed delays. Zbl 1517.93057
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Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation. Zbl 1517.35206
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6
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Stable and oscillating solitons of \(\mathcal{PT}\)-symmetric couplers with gain and loss in fractional dimension. Zbl 1517.35216
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Dynamics of Leslie-Gower model with double Allee effect on prey and mutual interference among predators. Zbl 1516.92097
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Observer-based adaptive fuzzy finite-time prescribed performance tracking control for strict-feedback systems with input dead-zone and saturation. Zbl 1517.93035
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Multiple rogue wave, breather wave and interaction solutions of a generalized \((3 + 1)\)-dimensional variable-coefficient nonlinear wave equation. Zbl 1517.35088
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Development of composite sub-step explicit dissipative algorithms with truly self-starting property. Zbl 1517.65062
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Optimal control of an SIQRS epidemic model with three measures on networks. Zbl 1517.92008
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Predefined-time control of distributed-order systems. Zbl 1517.93014
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A study of contact methods in the application of large deformation dynamics in self-contact beam. Zbl 1516.74076
Bozorgmehri, Babak; Yu, Xinxin; Matikainen, Marko K.; Harish, Ajay B.; Mikkola, Aki
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An extended continuum mixed traffic model. Zbl 1517.76014
Zhang, Yicai; Zhao, Min; Sun, Dihua; Dong, Chen
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Dynamical behavior of a stochastic Nicholson’s blowflies model with distributed delay and degenerate diffusion. Zbl 1517.92013
Mu, Xiaojie; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed; Ahmad, Bashir
4
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The existence and uniqueness of the solutions of the nonlinear on-off switched systems with switching at variable times. Zbl 1517.34015
Li, Huanting; Peng, Yunfei; Wu, Kuilin
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Finite-time event-triggered sliding mode control for one-sided Lipschitz nonlinear systems with uncertainties. Zbl 1516.93027
Ren, Junchao; Sun, Jie; Fu, Jun
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Dynamics and control of the modified generalized Korteweg-de Vries-Burgers equation with periodic boundary conditions. Zbl 1516.93062
Smaoui, Nejib; Al Jamal, Rasha
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A novel perturbation method to reduce the dynamical degradation of digital chaotic maps. Zbl 1516.37040
Liu, Lingfeng; Xiang, Hongyue; Li, Xiangjun
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Stochastic filtering in fractional-order circuits. Zbl 1516.93263
Bansal, Rahul
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Relaxation oscillation and canard explosion in a slow-fast predator-prey model with Beddington-DeAngelis functional response. Zbl 1516.92094
Saha, Tapan; Pal, Pallav Jyoti; Banerjee, Malay
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Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics. Zbl 1517.37074
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Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann-Hilbert approach. Zbl 1517.35204
Guo, Han-Dong; Xia, Tie-Cheng
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Time-fractional diffusion equation-based image denoising model. Zbl 1517.94020
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Arched beams of Bresse type: observability and application in thermoelasticity. Zbl 1517.74024
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Efficient computational approaches for analysis of thin and flexible multibody structures. Zbl 1517.70008
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Simulating the joint impact of temporal and spatial memory indices via a novel analytical scheme. Zbl 1518.65118
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Output feedback regulation of large-scale feedforward systems with discrete and distributed delays. Zbl 1517.93031
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Neural network-based event-triggered fault detection for nonlinear Markov jump system with frequency specifications. Zbl 1520.93315
Liu, Qi-Dong; Long, Yue; Park, Ju H.; Li, Tieshan
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Nonlinear dynamics of inertial particles in the ocean: from drifters and floats to marine debris and Sargassum. Zbl 1516.86003
Beron-Vera, Francisco J.
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The influence of the first integrals and the rolling resistance model on tippe top inversion. Zbl 1516.74074
Kilin, Alexander A.; Pivovarova, Elena N.
2
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Computational modeling of human papillomavirus with impulsive vaccination. Zbl 1516.92102
Berhe, Hailay Weldegiorgis; Al-arydah, Mo’tassem
2
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New solitons and conditional stability to the high dispersive nonlinear Schrödinger equation with parabolic law nonlinearity. Zbl 1516.35388
Xie, Yingying; Li, Lingfei; Kang, Yue
2
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Non-smooth dynamics emerging from predator-driven discontinuous prey dispersal. Zbl 1516.92076
Bhattacharyya, Joydeb; Chattopadhyay, Joydev
2
2021
Adaptive control for discontinuous variable-order fractional systems with disturbances. Zbl 1517.93052
Peng, Xiao; Wang, Yijing; Zuo, Zhiqiang
2
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Multi-objective frequency domain-constrained static output feedback control for delayed active suspension systems with wheelbase preview information. Zbl 1517.93034
Zhao, Jing; Wang, Xiaowei; Wong, Pak Kin; Xie, Zhengchao; Jia, Junru; Li, Wenfeng
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A systematic study of autonomous and nonautonomous predator-prey models with combined effects of fear, migration and switching. Zbl 1517.92017
Tiwari, Pankaj Kumar; Al Amri, Kawkab Abdullah Nabhan; Samanta, Sudip; Khan, Qamar Jalil Ahmad; Chattopadhyay, Joydev
2
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Event-triggered design for discrete-time nonlinear systems with control constraints. Zbl 1517.93040
Mu, Chaoxu; Liao, Kaiju; Wang, Ke
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Event-triggering \(H_\infty\)-based observer combined with NN for simultaneous estimation of vehicle sideslip and roll angles with network-induced delays. Zbl 1517.93025
Boada, Maria Jesus L.; Boada, Beatriz L.; Zhang, Hui
2
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Finite-time non-fragile boundary feedback control for a class of nonlinear parabolic systems. Zbl 1517.93033
Wei, Chengzhou; Li, Junmin
2
2021
Optimized flapping wing dynamics via DMOC approach. Zbl 1516.70050
Terze, Zdravko; Pandža, Viktor; Kasalo, Marko; Zlatar, Dario
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Successive estimations of bilateral bounds and trapping/stability regions of solution to some nonlinear nonautonomous systems. Zbl 1516.70030
Pinsky, Mark A.
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Evolution of a heavy rigid body rotation under the action of unsteady restoring and perturbation torques. Zbl 1517.70007
Leshchenko, Dmytro; Ershkov, Sergey; Kozachenko, Tetiana
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2021
Robust finite-time tracking for a square fully actuated class of nonlinear systems. Zbl 1517.93070
Bafghi, Hamidreza Fakharizade; Jahed-Motlagh, Mohammad Reza; Abooee, Ali; Moarefianpur, Ali
1
2021
Dynamical distributed control and synchronization. Zbl 1517.93028
Flores-Flores, Juan Pablo; Martínez-Guerra, Rafael
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2021
Image encryption algorithm with circle index table scrambling and partition diffusion. Zbl 1517.94023
Zhou, Yang; Li, Chunlai; Li, Wen; Li, Hongmin; Feng, Wei; Qian, Kun
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Global existence and stability of Nicholson blowflies model with harvesting and random effect. Zbl 1517.92009
Abbas, Syed; Niezabitowski, Michal; Grace, Said R.
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Higher-order saddle potentials, nonlinear curl forces, trapping and dynamics. Zbl 1517.70031
Garai, Sudip; Guha, Partha
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Robust resource allocation strategy for technology innovation ecosystems: state and control constraints. Zbl 1517.93071
Chen, Xiuqian; Sun, Qinqin; Xia, Fei; Chen, Ye-Hwa
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Zoonotic MERS-CoV transmission: modeling, backward bifurcation and optimal control analysis. Zbl 1517.92029
Ghosh, Indrajit; Nadim, Sk Shahid; Chattopadhyay, Joydev
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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
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2020
Short memory fractional differential equations for new memristor and neural network design. Zbl 1516.34022
Wu, Guo-Cheng; Luo, Maokang; Huang, Lan-Lan; Banerjee, Santo
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2020
Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera. Zbl 1434.92015
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The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension. Zbl 1517.34081
Kuznetsov, N. V.; Mokaev, T. N.; Kuznetsova, O. A.; Kudryashova, E. V.
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Observer-based adaptive neural tracking control for output-constrained switched MIMO nonstrict-feedback nonlinear systems with unknown dead zone. Zbl 1459.93051
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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
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Dynamic event-based reliable dissipative asynchronous control for stochastic Markov jump systems with general conditional probabilities. Zbl 1516.93057
Wang, Yanqian; Chen, Fu; Zhuang, Guangming
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2020
Sliding mode control for nonlinear stochastic systems with Markovian jumping parameters and mode-dependent time-varying delays. Zbl 1459.93187
Tong, Dongbing; Xu, Cong; Chen, Qiaoyu; Zhou, Wuneng; Xu, Yuhua
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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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Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach. Zbl 1434.35182
Liu, Nan; Guo, Boling
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2020
Bilinear form, soliton, breather, lump and hybrid solutions for a \((2+1)\)-dimensional Sawada-Kotera equation. Zbl 1516.37117
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2020
Chebyshev spectral methods for multi-order fractional neutral pantograph equations. Zbl 1516.34016
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2020
Dynamics and control of COVID-19 pandemic with nonlinear incidence rates. Zbl 1517.92039
Rohith, G.; Devika, K. B.
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2020
Robust identification for fault detection in the presence of non-Gaussian noises: application to hydraulic servo drives. Zbl 1516.93031
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A sliding mode observer for robust fault reconstruction in a class of nonlinear non-infinitely observable descriptor systems. Zbl 1516.93109
Chan, Joseph Chang Lun; Lee, Tae H.; Tan, Chee Pin
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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
12
2020
Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions. Zbl 1434.37040
Cao, Yulei; He, Jingsong; Cheng, Yi; Mihalache, Dumitru
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2020
Hidden extreme multistability with hyperchaos and transient chaos in a Hopfield neural network affected by electromagnetic radiation. Zbl 1516.92004
Lin, Hairong; Wang, Chunhua; Tan, Yumei
11
2020
Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation. Zbl 1516.37115
Ji, Ting; Zhai, Yunyun
11
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
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2020
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105 Zhong, Shou-Ming
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57 Rakkiyappan, Rajan
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50 Alsaadi, Fuad Eid Salem
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48 Liao, Xiaofeng
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45 Elaiw, Ahmed M.
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45 Seadawy, Aly R.
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903 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
674 Advances in Difference Equations
575 Mathematical Problems in Engineering
509 Physica A
489 Applied Mathematical Modelling
375 International Journal of Systems Science. Principles and Applications of Systems and Integration
350 International Journal of Robust and Nonlinear Control
343 Complexity
334 Computers & Mathematics with Applications
322 Chaos
287 Mathematical Methods in the Applied Sciences
258 International Journal of Control
256 Mathematics and Computers in Simulation
245 Abstract and Applied Analysis
242 Acta Mechanica
240 Discrete Dynamics in Nature and Society
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230 Neural Networks
204 Computational and Applied Mathematics
194 Applied Mathematics Letters
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177 Automatica
176 Circuits, Systems, and Signal Processing
174 Fractional Calculus & Applied Analysis
173 Journal of Computational and Applied Mathematics
171 Journal of Vibration and Control
164 Physica D
163 Nonlinear Analysis. Hybrid Systems
156 Journal of Mathematical Analysis and Applications
148 Fractals
148 International Journal of Nonlinear Sciences and Numerical Simulation
146 Computer Methods in Applied Mechanics and Engineering
143 Nonlinear Analysis. Real World Applications
143 Journal of Applied Mathematics and Computing
142 International Journal of Biomathematics
137 International Journal of Applied and Computational Mathematics
134 Advances in Mathematical Physics
131 European Journal of Mechanics. A. Solids
129 International Journal of Computer Mathematics
124 Qualitative Theory of Dynamical Systems
120 Discrete and Continuous Dynamical Systems. Series B
120 Mathematical Biosciences and Engineering
119 Physics Letters. A
115 Communications in Theoretical Physics
106 Asian Journal of Control
105 Journal of Computational Physics
102 Applied Numerical Mathematics
96 Discrete and Continuous Dynamical Systems. Series S
94 Nonlinear Analysis. Modelling and Control
87 SIAM Journal on Applied Dynamical Systems
85 Journal of Applied Mathematics
85 Journal of Applied Analysis and Computation
85 AMM. Applied Mathematics and Mechanics. (English Edition)
85 AIMS Mathematics
83 Numerical Methods for Partial Differential Equations
77 European Journal of Control
76 Journal of Mathematical Physics
75 Numerical Algorithms
72 Journal of Differential Equations
72 Waves in Random and Complex Media
72 Acta Mechanica Sinica
68 Journal of Nonlinear Mathematical Physics
66 International Journal of Adaptive Control and Signal Processing
65 ZAMP. Zeitschrift für angewandte Mathematik und Physik
65 Journal of Nonlinear Science
62 Fuzzy Sets and Systems
60 Journal of Systems Science and Complexity
60 Boundary Value Problems
58 Archive of Applied Mechanics
57 International Journal of Theoretical Physics
57 Journal of Fluid Mechanics
54 International Journal of Engineering Science
54 Systems & Control Letters
54 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
53 Wave Motion
53 Journal of Difference Equations and Applications
52 Engineering Analysis with Boundary Elements
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52 Journal of Applied Nonlinear Dynamics
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345 Integral equations (45-XX)
339 Optics, electromagnetic theory (78-XX)
224 Special functions (33-XX)
218 Quantum theory (81-XX)
170 Statistics (62-XX)
144 Classical thermodynamics, heat transfer (80-XX)
142 Combinatorics (05-XX)
116 Approximations and expansions (41-XX)
113 Global analysis, analysis on manifolds (58-XX)
113 Geophysics (86-XX)
98 Integral transforms, operational calculus (44-XX)
95 Linear and multilinear algebra; matrix theory (15-XX)
89 Harmonic analysis on Euclidean spaces (42-XX)
87 Measure and integration (28-XX)
87 Relativity and gravitational theory (83-XX)
68 Differential geometry (53-XX)
61 Topological groups, Lie groups (22-XX)
57 Number theory (11-XX)
52 Functional analysis (46-XX)
31 Nonassociative rings and algebras (17-XX)
28 History and biography (01-XX)
28 Functions of a complex variable (30-XX)
21 Mathematical logic and foundations (03-XX)
19 General topology (54-XX)
17 Astronomy and astrophysics (85-XX)
15 General and overarching topics; collections (00-XX)
9 Group theory and generalizations (20-XX)
9 Abstract harmonic analysis (43-XX)
8 Potential theory (31-XX)
8 Sequences, series, summability (40-XX)
7 Mathematics education (97-XX)
6 Algebraic geometry (14-XX)
6 Manifolds and cell complexes (57-XX)
5 Commutative algebra (13-XX)
5 Several complex variables and analytic spaces (32-XX)
3 Field theory and polynomials (12-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 General algebraic systems (08-XX)
2 Associative rings and algebras (16-XX)
2 Geometry (51-XX)
1 Category theory; homological algebra (18-XX)

Citations by Year