Nonlinear DynamicsAn 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. all top 5 Latest Issues 111, No. 21 (2023) 111, No. 20 (2023) 111, No. 18 (2023) 111, No. 16 (2023) 111, No. 15 (2023) 111, No. 14 (2023) 111, No. 13 (2023) 111, No. 12 (2023) 111, No. 11 (2023) 111, No. 10 (2023) 111, No. 9 (2023) 111, No. 8 (2023) 111, No. 7 (2023) 111, No. 5 (2023) 111, No. 4 (2023) 111, No. 3 (2023) 111, No. 2 (2023) 111, No. 1 (2023) 110, No. 4 (2022) 110, No. 3 (2022) 110, No. 1 (2022) 109, No. 4 (2022) 109, No. 3 (2022) 109, No. 2 (2022) 109, No. 1 (2022) 108, No. 4 (2022) 108, No. 3 (2022) 108, No. 2 (2022) 108, No. 1 (2022) 107, No. 4 (2022) 107, No. 3 (2022) 107, No. 1 (2022) 106, No. 4 (2021) 103, No. 3 (2021) 103, No. 2 (2021) 103, No. 1 (2021) 102, No. 4 (2020) 102, No. 3 (2020) 102, No. 2 (2020) 102, No. 1 (2020) 101, No. 4 (2020) 101, No. 3 (2020) 101, No. 2 (2020) 101, No. 1 (2020) 100, No. 4 (2020) 100, No. 3 (2020) 100, No. 2 (2020) 100, No. 1 (2020) 99, No. 4 (2020) 99, No. 3 (2020) 99, No. 2 (2020) 99, No. 1 (2020) 98, No. 4 (2019) 98, No. 3 (2019) 98, No. 1 (2019) 97, No. 4 (2019) 97, No. 2 (2019) 97, No. 1 (2019) 96, No. 4 (2019) 96, No. 3 (2019) 96, No. 2 (2019) 96, No. 1 (2019) 95, No. 4 (2019) 95, No. 3 (2019) 95, No. 2 (2019) 95, No. 1 (2019) 94, No. 4 (2018) 94, No. 3 (2018) 94, No. 1 (2018) 93, No. 4 (2018) 93, No. 3 (2018) 93, No. 2 (2018) 93, No. 1 (2018) 92, No. 4 (2018) 92, No. 3 (2018) 92, No. 2 (2018) 92, No. 1 (2018) 91, No. 4 (2018) 91, No. 3 (2018) 91, No. 2 (2018) 91, No. 1 (2018) 90, No. 4 (2017) 90, No. 3 (2017) 90, No. 2 (2017) 90, No. 1 (2017) 89, No. 4 (2017) 89, No. 3 (2017) 89, No. 2 (2017) 89, No. 1 (2017) 88, No. 4 (2017) 88, No. 3 (2017) 88, No. 2 (2017) 88, No. 1 (2017) 87, No. 4 (2017) 87, No. 3 (2017) 87, No. 2 (2017) 87, No. 1 (2017) 86, No. 4 (2016) 86, No. 3 (2016) 86, No. 2 (2016) ...and 235 more Volumes all top 5 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 all top 5 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,429 Publications have been cited 47,191 times in 25,573 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 Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations. Zbl 1354.35127 Ma, Wen Xiu; Qin, Zhenyun; Lü, Xing 120 2016 Bifurcations in nonlinear discontinuous systems. Zbl 0980.70018 Leine, R. I.; van Campen, D. H.; van de Vrande, B. L. 120 2000 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 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 Adaptive synchronization of fractional-order memristor-based neural networks with time delay. Zbl 1348.93159 Bao, Haibo; Park, Ju H.; Cao, Jinde 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 Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays. Zbl 1331.93102 Stamova, Ivanka 84 2014 Conservation laws for time-fractional subdiffusion and diffusion-wave equations. Zbl 1345.35131 Lukashchuk, Stanislav Yu. 84 2015 Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1349.35007 Lü, Xing; Chen, Shou-Ting; Ma, Wen-Xiu 82 2016 Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. Zbl 1215.93114 Mahmoud, Gamal M.; Mahmoud, Emad E. 82 2010 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 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 Homotopy solutions for a generalized second-grade fluid past a porous plate. Zbl 1094.76005 Hayat, Tasawar; Khan, Masood 78 2005 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 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 Numerical solution of the Klein-Gordon equation via He’s variational iteration method. Zbl 1179.81064 Shakeri, Fatemeh; Dehghan, Mehdi 75 2008 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 Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 67 2015 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 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 Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations. Zbl 1038.34075 Das, S. L.; Chatterjee, A. 65 2002 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 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 \(p\)th moment exponential synchronization for stochastic delayed Cohen-Grossberg neural networks with Markovian switching. Zbl 1242.93126 Zhu, Quanxin; Cao, Jinde 63 2012 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 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 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 Fractional dynamical system and its linearization theorem. Zbl 1268.34019 Li, Changpin; Ma, Yutian 61 2013 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 Chaos and Hopf bifurcation of a finance system. Zbl 1183.91193 Gao, Qin; Ma, Junhai 60 2009 On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328 Baleanu, Dumitru; Trujillo, Juan J. 59 2008 Global exponential stability for quaternion-valued recurrent neural networks with time-varying delays. Zbl 1371.93098 Liu, Yang; Zhang, Dandan; Lu, Jianquan 58 2017 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 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 Adaptive synchronization of uncertain dynamical networks with delayed coupling. Zbl 1182.92007 Lu, Jianquan; Cao, Jinde 57 2008 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 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 Holling II predator-prey impulsive semi-dynamic model with complex Poincaré map. Zbl 1348.34042 Tang, Sanyi; Tang, Biao; Wang, Aili; Xiao, Yanni 55 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. 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 Global properties of a class of virus infection models with multitarget cells. Zbl 1254.92064 Elaiw, A. M. 54 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. 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 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 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 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 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 The effects of toxin-producing phytoplankton and environmental fluctuations on the planktonic blooms. Zbl 1390.92129 Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua 51 2018 The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables. Zbl 1005.70023 Manevitch, L. I. 51 2001 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 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 A hybrid computational approach for Klein-Gordon equations on Cantor sets. Zbl 1371.35326 Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru 49 2017 Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure. Zbl 1176.92056 Qu, Ying; Wei, Junjie 49 2007 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 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 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 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 The dynamics of two coupled van der Pol oscillators with delay coupling. Zbl 1021.70010 Wirkus, Stephen; Rand, Richard 47 2002 A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses. Zbl 1390.35376 Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru 46 2018 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 Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011 Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M. 46 1998 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 Jia, Man; Su, Youfeng; Chen, Hebai 1 2023 Mathematical modeling on co-infection: transmission dynamics of Zika virus and Dengue fever. Zbl 1523.92015 Jose, Sayooj Aby; Raja, R.; Omede, B. I.; Agarwal, Ravi P.; Alzabut, J.; Cao, J.; Balas, V. E. 1 2023 Role of fractional derivatives in the mathematical modeling of the transmission of chlamydia in the United States from 1989 to 2019. Zbl 1523.92017 Vellappandi, M.; Kumar, Pushpendra; Govindaraj, V. 1 2023 Learning sparse nonlinear dynamics via mixed-integer optimization. Zbl 1523.37082 Bertsimas, Dimitris; Gurnee, Wes 1 2023 Stability analysis of chaotic systems from data. Zbl 1517.37086 Margazoglou, Georgios; Magri, Luca 1 2023 Stability and periodicity in a mosquito population suppression model composed of two sub-models. Zbl 1517.92021 Zhu, Zhongcai; Zheng, Bo; Shi, Yantao; Yan, Rong; Yu, Jianshe 8 2022 Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota’s bilinear method. Zbl 1519.35269 Alquran, Marwan; Alhami, Rahaf 6 2022 Mathematical modeling on transmission and optimal control strategies of corruption dynamics. Zbl 1519.91201 Jose, Sayooj Aby; Raja, R.; Alzabut, J.; Rajchakit, G.; Cao, Jinde; Balas, Valentina E. 5 2022 Nonlinear targeted energy transfer: state of the art and new perspectives. Zbl 1517.70041 Vakakis, Alexander F.; Gendelman, Oleg V.; Bergman, Lawrence A.; Mojahed, Alireza; Gzal, Majdi 4 2022 Parsimony as the ultimate regularizer for physics-informed machine learning. Zbl 1517.68337 Kutz, J. Nathan; Brunton, Steven L. 2 2022 Methods of continuation and their implementation in the COCO software platform with application to delay differential equations. Zbl 1517.65129 Ahsan, Zaid; Dankowicz, Harry; Li, Mingwu; Sieber, Jan 2 2022 Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics. Zbl 1519.35267 Zhu, Wen-Hui; Liu, Fei-Yan; Liu, Jian-Guo 2 2022 Global existence and spatiotemporal pattern formation of a nutrient-microorganism model with nutrient-taxis in the sediment. Zbl 1519.92329 Gao, Jianping; Guo, Shangjiang; Ma, Li 2 2022 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 Liu, Qian; Zhou, Yuqian; Li, Kebing; Zhang, Shengning 1 2022 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. 1 2022 A novel dynamic model and the oblique interaction for ocean internal solitary waves. Zbl 1517.35187 Yu, Di; Zhang, Zongguo; Dong, Huanhe; Yang, Hongwei 1 2022 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 2022 The focus case of a nonsmooth Rayleigh-Duffing oscillator. Zbl 1517.34045 Wang, Zhaoxia; Chen, Hebai; Tang, Yilei 1 2022 Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes. Zbl 1519.65030 Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei 1 2022 A machine learning method for computing quasi-potential of stochastic dynamical systems. Zbl 1519.37046 Li, Yang; Xu, Shengyuan; Duan, Jinqiao; Liu, Xianbin; Chu, Yuming 1 2022 Transitions of zonal flows in a two-layer quasi-geostrophic ocean model. Zbl 1519.86001 Chekroun, Mickaël D.; Dijkstra, Henk; Şengül, Taylan; Wang, Shouhong 1 2022 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 1 2022 Practical tracking control under actuator saturation for a class of flexible-joint robotic manipulators driven by DC motors. Zbl 1520.93351 Li, Jian; Zhu, Lingling 1 2022 Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types. Zbl 1516.35175 Lü, Xing; Chen, Si-Jia 31 2021 Input-to-state stability of impulsive reaction-diffusion neural networks with infinite distributed delays. Zbl 1517.93057 Wei, Tengda; Li, Xiaodi; Stojanovic, Vladimir 21 2021 Adaptive attack-resilient control for Markov jump system with additive attacks. Zbl 1517.93050 He, Hangfeng; Qi, Wenhai; Liu, Zhitao; Wang, Maoli 12 2021 Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation. Zbl 1517.35206 Hendy, Ahmed S.; Zaky, Mahmoud A. 8 2021 Distributed fixed-time optimization for multi-agent systems over a directed network. Zbl 1516.93019 Yu, Zhiyong; Yu, Shuzhen; Jiang, Haijun; Mei, Xuehui 7 2021 Dynamic event-based dissipative asynchronous control for T-S fuzzy singular Markov jump LPV systems against deception attacks. Zbl 1517.93055 Xing, Mingqi; Wang, Yanqian; Zhuang, Guangming; Zhang, Minsong 7 2021 Consensus tracking via quantized iterative learning control for singular nonlinear multi-agent systems with state time-delay and initial state error. Zbl 1517.93009 Zhou, Xingyu; Wang, Haoping; Tian, Yang; Dai, Xisheng 7 2021 Rogue waves of the fifth-order Ito equation on the general periodic travelling wave solutions background. Zbl 1516.35173 Zhang, Hai-Qiang; Chen, Fa; Pei, Zhi-Jie 6 2021 Stable and oscillating solitons of \(\mathcal{PT}\)-symmetric couplers with gain and loss in fractional dimension. Zbl 1517.35216 Zeng, Liangwei; Shi, Jincheng; Lu, Xiaowei; Cai, Yi; Zhu, Qifan; Chen, Hongyi; Long, Hu; Li, Jingzhen 6 2021 Multiple rogue wave, breather wave and interaction solutions of a generalized \((3 + 1)\)-dimensional variable-coefficient nonlinear wave equation. Zbl 1517.35088 Liu, Jian-Guo; Zhu, Wen-Hui 6 2021 Rogue wave and multi-pole solutions for the focusing Kundu-Eckhaus equation with nonzero background via Riemann-Hilbert problem method. Zbl 1517.35205 Guo, Ning; Xu, Jian; Wen, Lili; Fan, Engui 6 2021 Development of composite sub-step explicit dissipative algorithms with truly self-starting property. Zbl 1517.65062 Li, Jinze; Yu, Kaiping 6 2021 Dynamics of Leslie-Gower model with double Allee effect on prey and mutual interference among predators. Zbl 1516.92097 Tiwari, Barkha; Raw, S. N. 5 2021 Observer-based adaptive fuzzy finite-time prescribed performance tracking control for strict-feedback systems with input dead-zone and saturation. Zbl 1517.93035 Zhou, Xin; Gao, Chuang; Li, Zhi-gang; Ouyang, Xin-yu; Wu, Li-bing 5 2021 Optimal control of an SIQRS epidemic model with three measures on networks. Zbl 1517.92008 Zhang, Lei; Liu, Maoxing; Xie, Boli 5 2021 Predefined-time control of distributed-order systems. Zbl 1517.93014 Muñoz-Vázquez, Aldo Jonathan; Fernández-Anaya, Guillermo; Sánchez-Torres, Juan Diego; Meléndez-Vázquez, Fidel 5 2021 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 4 2021 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 4 2021 An extended continuum mixed traffic model. Zbl 1517.76014 Zhang, Yicai; Zhao, Min; Sun, Dihua; Dong, Chen 4 2021 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 2021 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 4 2021 Output feedback regulation of large-scale feedforward systems with discrete and distributed delays. Zbl 1517.93031 Liu, Qingrong; Li, Hanfeng; Zhu, Fei; Zhang, Xianfu 4 2021 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 4 2021 Finite-time event-triggered sliding mode control for one-sided Lipschitz nonlinear systems with uncertainties. Zbl 1516.93027 Ren, Junchao; Sun, Jie; Fu, Jun 3 2021 Dynamics and control of the modified generalized Korteweg-de Vries-Burgers equation with periodic boundary conditions. Zbl 1516.93062 Smaoui, Nejib; Al Jamal, Rasha 3 2021 A novel perturbation method to reduce the dynamical degradation of digital chaotic maps. Zbl 1516.37040 Liu, Lingfeng; Xiang, Hongyue; Li, Xiangjun 3 2021 Stochastic filtering in fractional-order circuits. Zbl 1516.93263 Bansal, Rahul 3 2021 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 3 2021 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 Zhao, Xin; Tian, Bo; Tian, He-Yuan; Yang, Dan-Yu 3 2021 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 3 2021 Time-fractional diffusion equation-based image denoising model. Zbl 1517.94020 Liao, Xingran; Feng, Minfu 3 2021 Arched beams of Bresse type: observability and application in thermoelasticity. Zbl 1517.74024 Moraes, Gabriel E. Bittencourt; Jorge da Silva, Marcio A. 3 2021 Efficient computational approaches for analysis of thin and flexible multibody structures. Zbl 1517.70008 Bulín, Radek; Hajžman, Michal 3 2021 Simulating the joint impact of temporal and spatial memory indices via a novel analytical scheme. Zbl 1518.65118 Jaradat, Imad; Alquran, Marwan; Sivasundaram, Seenith; Baleanu, Dumitru 3 2021 Nonlinear dynamics of inertial particles in the ocean: from drifters and floats to marine debris and Sargassum. Zbl 1516.86003 Beron-Vera, Francisco J. 2 2021 Optimized flapping wing dynamics via DMOC approach. Zbl 1516.70050 Terze, Zdravko; Pandža, Viktor; Kasalo, Marko; Zlatar, Dario 2 2021 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 2021 Computational modeling of human papillomavirus with impulsive vaccination. Zbl 1516.92102 Berhe, Hailay Weldegiorgis; Al-arydah, Mo’tassem 2 2021 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 2021 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 2 2021 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 2021 Event-triggered design for discrete-time nonlinear systems with control constraints. Zbl 1517.93040 Mu, Chaoxu; Liao, Kaiju; Wang, Ke 2 2021 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 2021 Finite-time non-fragile boundary feedback control for a class of nonlinear parabolic systems. Zbl 1517.93033 Wei, Chengzhou; Li, Junmin 2 2021 Successive estimations of bilateral bounds and trapping/stability regions of solution to some nonlinear nonautonomous systems. Zbl 1516.70030 Pinsky, Mark A. 1 2021 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 1 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 1 2021 Symmetry-based optimal portfolio for a DC pension plan under a CEV model with power utility. Zbl 1517.91209 Yong, Xuelin; Sun, Xiaoqian; Gao, Jianwei 1 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 1 2021 Global existence and stability of Nicholson blowflies model with harvesting and random effect. Zbl 1517.92009 Abbas, Syed; Niezabitowski, Michal; Grace, Said R. 1 2021 Higher-order saddle potentials, nonlinear curl forces, trapping and dynamics. Zbl 1517.70031 Garai, Sudip; Guha, Partha 1 2021 Robust resource allocation strategy for technology innovation ecosystems: state and control constraints. Zbl 1517.93071 Chen, Xiuqian; Sun, Qinqin; Xia, Fei; Chen, Ye-Hwa 1 2021 Zoonotic MERS-CoV transmission: modeling, backward bifurcation and optimal control analysis. Zbl 1517.92029 Ghosh, Indrajit; Nadim, Sk Shahid; Chattopadhyay, Joydev 1 2021 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 40 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 27 2020 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. 21 2020 Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera. Zbl 1434.92015 Bao, Han; Zhang, Yunzhen; Liu, Wenbo; Bao, Bocheng 20 2020 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 19 2020 Bilinear form, soliton, breather, lump and hybrid solutions for a \((2+1)\)-dimensional Sawada-Kotera equation. Zbl 1516.37117 Li, Liu-Qing; Gao, Yi-Tian; Hu, Lei; Jia, Ting-Ting; Ding, Cui-Cui; Feng, Yu-Jie 18 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 17 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 17 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 15 2020 Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach. Zbl 1434.35182 Liu, Nan; Guo, Boling 15 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 15 2020 Chebyshev spectral methods for multi-order fractional neutral pantograph equations. Zbl 1516.34016 Ezz-Eldien, S. S.; Wang, Y.; Abdelkawy, M. A.; Zaky, M. A.; Aldraiweesh, A. A.; Machado, J. Tenreiro 14 2020 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 13 2020 Fixed-time SOSM controller design with output constraint. Zbl 1517.93017 Yuan, Jiahao; Ding, Shihong; Mei, Keqi 13 2020 Dynamics and control of COVID-19 pandemic with nonlinear incidence rates. Zbl 1517.92039 Rohith, G.; Devika, K. B. 13 2020 Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions. Zbl 1434.37040 Cao, Yulei; He, Jingsong; Cheng, Yi; Mihalache, Dumitru 12 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 12 2020 Robust identification for fault detection in the presence of non-Gaussian noises: application to hydraulic servo drives. Zbl 1516.93031 Stojanovic, Vladimir; Prsic, Dragan 12 2020 Epidemic model of COVID-19 outbreak by inducing behavioural response in population. Zbl 1517.92040 Saha, Sangeeta; Samanta, G. P.; Nieto, Juan J. 12 2020 ...and 1618 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 29,492 Authors 287 Cao, Jinde 232 Băleanu, Dumitru I. 174 Hayat, Tasawar 130 Al-saedi, Ahmed Eid Salem 118 Machado, José António Tenreiro 116 Park, Juhyun (Jessie) 116 Zhang, Wei 109 Sakthivel, Rathinasamy 107 Ding, Feng 106 Zhong, Shou-Ming 91 Llibre, Jaume 86 Xu, Wei 85 Chen, Guanrong 82 Ahmad, Bashir 78 Jiang, Haijun 73 Zhu, Quanxin 68 Dehghan Takht Fooladi, Mehdi 67 Tian, Bo 66 Chen, Yangquan 65 Wang, Xingyuan 64 Ma, Wen-Xiu 63 Kwon, Ohmin 62 Liu, Fawang 62 Wang, Zhen 61 Shi, Kaibo 60 Chen, Liqun 59 Biswas, Anjan 59 Jafari, Sajad 57 Pham, Viet-Thanh 57 Rakkiyappan, Rajan 56 Chen, Zengqiang 56 Inc, Mustafa 53 Cheng, Jun 53 Hu, Cheng 52 Huang, Lihong 51 Abdeljawad, Thabet 51 Gómez-Aguilar, José Francisco 51 Huang, Tingwen 50 Alsaadi, Fuad Eid Salem 50 Awrejcewicz, Jan 50 Teng, Zhi-dong 50 Zhang, Tonghua 49 Mahomed, Fazal M. 48 Khalique, Chaudry Masood 48 Liao, Xiaofeng 48 Ntouyas, Sotiris K. 48 Rajagopal, Karthikeyan 47 Ouannas, Adel 46 Li, Chuandong 45 Elaiw, Ahmed M. 45 Huang, Chengdai 45 Seadawy, Aly R. 44 Balasubramaniam, Pagavathigounder 44 Torres, Delfim Fernando Marado 43 Liu, Shutang 43 Wei, Zhouchao 42 Jiang, Daqing 42 Kara, Abdul Hamid 42 Li, Xiaodi 42 Liu, Xinzhi 42 Yang, Qigui 41 Chen, Fangqi 41 Shen, Hao 41 Wu, Ranchao 40 Ali, M. 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J. 39 Ma, Junhai 39 Zhang, Yi 38 Li, Changpin 38 Li, Junmin 38 Momani, Shaher M. 38 Xu, Jian 38 Yu, Yongguang 38 Zaky, Mahmoud A. 38 Zheng, Xiangcheng 38 Zhu, Weiqiu 37 Agarwal, Ravi P. 37 Atangana, Abdon 37 Heydari, Mohammad Hossein 37 Li, Chunbiao 37 Mirzazadeh, Mohammad 37 Wang, Hong 37 Xia, Yonghui 37 Yusuf, Abdullahi A. 36 Feng, Jianwen 36 Kumar Upadhyay, Ranjit 36 Niu, Ben 36 Rega, Giuseppe 36 Sprott, Julien Clinton 36 Tian, Shoufu 36 Yang, Xinsong 35 Balthazar, José Manoel 35 Ding, Hu 35 Gao, Yitian ...and 29,392 more Authors all top 5 Cited in 679 Journals 3,244 Nonlinear Dynamics 1,073 Chaos, Solitons and Fractals 1,008 Journal of the Franklin Institute 972 Applied Mathematics and Computation 960 Communications in Nonlinear Science and Numerical Simulation 904 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 674 Advances in Difference Equations 578 Mathematical Problems in Engineering 510 Physica A 489 Applied Mathematical Modelling 383 International Journal of Systems Science. 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Zeitschrift für Angewandte Mathematik und Mechanik 53 Wave Motion 53 Journal of Difference Equations and Applications 53 Journal of Function Spaces 52 Engineering Analysis with Boundary Elements 52 Differential Equations and Dynamical Systems 52 Journal of Applied Nonlinear Dynamics 50 Journal of Optimization Theory and Applications 50 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 50 Optimal Control Applications & Methods 50 Computational Mechanics 49 Journal of Physics A: Mathematical and Theoretical 47 Applicable Analysis 47 Soft Computing 45 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 43 Journal of Biological Dynamics 42 International Journal for Numerical Methods in Engineering 42 Mathematical and Computer Modelling 42 Mathematical Modelling of Natural Phenomena 41 Journal of Control Science and Engineering 40 Applied Mathematics and Mechanics. 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