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: http://link.springer.com/journal/volumesAndIssues/11071 Documents Indexed: 4,606 Publications (since 1997) References Indexed: 4,044 Publications with 136,905 References. all top 5 Latest Issues 100, No. 2 (2020) 100, No. 1 (2020) 99, No. 4 (2020) 99, No. 2 (2020) 99, No. 1 (2020) 98, No. 4 (2019) 98, No. 3 (2019) 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) 86, No. 1 (2016) 85, No. 4 (2016) 85, No. 3 (2016) 85, No. 2 (2016) 85, No. 1 (2016) 84, No. 4 (2016) 84, No. 3 (2016) 84, No. 2 (2016) 84, No. 1 (2016) 83, No. 4 (2016) 83, No. 3 (2016) 83, No. 1-2 (2016) 82, No. 4 (2015) 82, No. 3 (2015) 82, No. 1-2 (2015) 81, No. 4 (2015) 81, No. 3 (2015) 81, No. 1-2 (2015) 80, No. 4 (2015) 80, No. 3 (2015) 80, No. 1-2 (2015) 79, No. 4 (2015) 79, No. 3 (2015) 79, No. 2 (2015) 79, No. 1 (2015) 78, No. 4 (2014) 78, No. 3 (2014) 78, No. 2 (2014) 78, No. 1 (2014) 77, No. 4 (2014) 77, No. 3 (2014) 77, No. 1-2 (2014) 76, No. 4 (2014) 76, No. 3 (2014) 76, No. 2 (2014) 76, No. 1 (2014) 75, No. 4 (2014) 75, No. 3 (2014) 75, No. 1-2 (2014) 74, No. 4 (2013) 74, No. 3 (2013) 74, No. 1-2 (2013) 73, No. 4 (2013) 73, No. 3 (2013) 73, No. 1-2 (2013) 72, No. 4 (2013) 72, No. 3 (2013) ...and 188 more Volumes all top 5 Authors 45 Nayfeh, Ali Hasan 44 Park, Juhyun (Jessie) 35 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 Xu, Wei 15 Yabuno, Hiroshi 14 Aghababa, Mohammad Pourmahmood 14 Balasubramaniam, Pagavathigounder 14 Gendelman, Oleg V. 14 Luongo, Angelo 14 Mirzazadeh, Mohammad 14 Mobayen, Saleh 13 Chen, Guanrong 13 Fang, Jian’an 13 Hayat, Tasawar 13 Wang, Zuolei 12 Hu, Haiyan 12 Liu, Wenjun J. 12 Maccari, Attilio 12 Rakkiyappan, Rajan 12 Rega, Giuseppe 12 Tong, Shaocheng 12 Wazwaz, Abdul-Majid Abdul-Rahman 12 Zhou, Wuneng 11 Bergman, Lawrence A. 11 Ibragimov, Nail Hairullovich 11 Liu, Zhi 11 Lü, Xing 11 Mahmoud, Gamal M. 11 Natsiavas, Sotirios 11 Oustaloup, Alain 11 Sakthivel, Rathinasamy 11 Shang, Pengjian 11 Shi, Xuerong 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 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 Wang, Zhen 9 Wu, Huaining 9 Yang, Yixian 8 Bajaj, Anil K. 8 Bi, Qinsheng 8 Ding, Hu 8 Escalona, José Luis 8 Freire Macías, Emilio 8 Ji, Jinchen ...and 7,038 more Authors all top 5 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,058 Publications have been cited 40,082 times in 21,522 Documents Cited by ▼ Year ▼ A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 728 2002 Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115Deng, Weihua; Li, Changpin; Lü, Jinhu 313 2007 Variable order and distributed order fractional operators. Zbl 1018.93007Lorenzo, Carl F.; Hartley, Tom T. 297 2002 A general formulation and solution scheme for fractional optimal control problems. Zbl 1121.70019Agrawal, Om Prakash 246 2004 Solution for a fractional diffusion-wave equation defined in a bounded domain. Zbl 1009.65085Agrawal, Om P. 213 2002 Discrete fractional logistic map and its chaos. Zbl 1281.34121Wu, Guo-Cheng; Baleanu, Dumitru 170 2014 Time fractional diffusion: A discrete random walk approach. Zbl 1009.82016Gorenflo, Rudolf; Mainardi, Francesco; Moretti, Daniele; Paradisi, Paolo 164 2002 Spectral properties of dynamical systems, model reduction and decompositions. 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H. 64 2003 Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays. Zbl 1331.34154Rakkiyappan, R.; Velmurugan, G.; Cao, Jinde 63 2014 Fractional control of heat diffusion systems. Zbl 1210.80008Jesus, Isabel S.; Tenreiro Machado, J. A. 63 2008 \(p\)th moment exponential synchronization for stochastic delayed Cohen-Grossberg neural networks with Markovian switching. Zbl 1242.93126Zhu, Quanxin; Cao, Jinde 61 2012 Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review. Zbl 1134.93300Chen, Yangquan; Vinagre, Blas M.; Podlubny, Igor 59 2004 Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction. Zbl 1170.70355Nayfeh, Ali H. 59 2008 Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 58 2015 Adaptive synchronization of uncertain dynamical networks with delayed coupling. Zbl 1182.92007Lu, Jianquan; Cao, Jinde 57 2008 Chaos and Hopf bifurcation of a finance system. Zbl 1183.91193Gao, Qin; Ma, Junhai 56 2009 Numerical algorithm for the variable-order Caputo fractional functional differential equation. Zbl 1349.65505Bhrawy, A. H.; Zaky, M. A. 56 2016 On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328Baleanu, Dumitru; Trujillo, Juan J. 56 2008 Cellular buckling in long structures. Zbl 0974.74024Hunt, G. W.; Peletier, M. A.; Champneys, A. R.; Woods, P. D.; Ahmer Wadee, M.; Budd, C. J.; Lord, G. J. 55 2000 Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system. Zbl 1398.37090Kuznetsov, N. V.; Leonov, G. A.; Mokaev, T. N.; Prasad, A.; Shrimali, M. D. 55 2018 Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations. Zbl 1005.70019Kalmár-Nagy, Tamás; Stépán, Gábor; Moon, Francis C. 55 2001 A numerical method for KdV equation using collocation and radial basis functions. Zbl 1185.76832Dehghan, Mehdi; Shokri, Ali 55 2007 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 1204.93064Zhu, Quanxin; Cao, Jinde 55 2010 Dynamical analysis of a prey-predator model with Beddington-DeAngelis type function response incorporating a prey refuge. Zbl 1345.92125Tripathi, Jai Prakash; Abbas, Syed; Thakur, Manoj 54 2015 Analysis of thin beams and cables using the absolute nodal co-ordinate formulation. Zbl 1138.74391Gerstmayr, Johannes; Shabana, Ahmed A. 54 2006 Control of a class of fractional-order chaotic systems via sliding mode. Zbl 1242.93027Chen, Di-yi; Liu, Yu-xiao; Ma, Xiao-yi; Zhang, Run-fan 54 2012 Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane. Zbl 1281.34037de Carvalho Braga, Denis; Mello, Luis Fernando 54 2013 Sampled-data-based lag synchronization of chaotic delayed neural networks with impulsive control. Zbl 1380.34082Zhang, Xiaoyu; Lv, Xiaoxiao; Li, Xiaodi 54 2017 Global properties of a class of virus infection models with multitarget cells. Zbl 1254.92064Elaiw, A. M. 53 2012 Fractional dynamical system and its linearization theorem. Zbl 1268.34019Li, Changpin; Ma, Yutian 53 2013 Gradient-based identification methods for Hammerstein nonlinear ARMAX models. Zbl 1134.93321Ding, Feng; Shi, Yang; Chen, Tongwen 52 2006 Fractional boundary value problems with singularities in space variables. Zbl 1268.34023O’Regan, Donal; Staněk, Svatoslav 52 2013 Abstract Cauchy problem for fractional differential equations. Zbl 1268.34034Wang, Jinrong; Zhou, Yong; Feckan, Michal 52 2013 A two-grid finite element approximation for a nonlinear time-fractional Cable equation. Zbl 1349.65429Liu, Yang; Du, Yan-Wei; Li, Hong; Wang, Jin-Feng 52 2016 Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique. Zbl 1314.93013Wang, Cheng; Tang, Tao 51 2014 LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru 51 2013 Finite time integral sliding mode control of hypersonic vehicles. Zbl 1281.70016Sun, Haibin; Li, Shihua; Sun, Changyin 51 2013 New results on stability and stabilization of a class of nonlinear fractional-order systems. Zbl 1283.93138Chen, Liping; He, Yigang; Chai, Yi; Wu, Ranchao 51 2014 Resonances of a harmonically forced Duffing oscillator with time delay state feedback. Zbl 0906.34052Hu, Haiyan; Dowell, Earl H.; Virgin, Lawrence N. 51 1998 Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations. Zbl 1349.37031Kuznetsov, N. V.; Alexeeva, T. A.; Leonov, G. A. 50 2016 Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Zbl 0899.70005Anitescu, M.; Potra, F. A. 50 1997 Global exponential stability for quaternion-valued recurrent neural networks with time-varying delays. Zbl 1371.93098Liu, Yang; Zhang, Dandan; Lu, Jianquan 50 2017 Ši’lnikov chaos in the generalized Lorenz canonical form of dynamical systems. Zbl 1142.70012Zhou, Tianshou; Chen, Guanrong; Čelikovský, Sergej 49 2005 Secure communication based on chaotic synchronization via interval time-varying delay feedback control. Zbl 1215.93127Kwon, O. M.; Park, Ju H.; Lee, S. M. 49 2011 Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure. Zbl 1176.92056Qu, Ying; Wei, Junjie 49 2007 Holling II predator-prey impulsive semi-dynamic model with complex Poincaré map. Zbl 1348.34042Tang, Sanyi; Tang, Biao; Wang, Aili; Xiao, Yanni 48 2015 Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger’s equations arise in propagation of shallow water waves. Zbl 1355.76015Kumar, Sunil; Kumar, Amit; Baleanu, Dumitru 48 2016 Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control. Zbl 1031.93110Vinagre, B. M.; Petráš, I.; Podlubny, I.; Chen, Y. Q. 47 2002 Dynamic analysis and control of a new hyperchaotic finance system. Zbl 1242.91225Yu, Haojie; Cai, Guoliang; Li, Yuxiu 47 2012 Predator cannibalism can give rise to regular spatial pattern in a predator-prey system. Zbl 1183.92084Sun, Gui-Quan; Zhang, Guang; Jin, Zhen; Li, Li 47 2009 Tuning of PID controllers based on Bode’s ideal transfer function. Zbl 1134.93334Barbosa, Ramiro S.; Machado, J. A. 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Zbl 1434.93025Chen, Lian; Wang, Qing 1 2020 Retraction note to: “Chattering-free variable structure controller design via fractional calculus approach and its application”. Zbl 1434.93018Zhong, Guoliang; Deng, Hua; Li, Junfeng 1 2020 Recurrence quantification analysis on a Kaldorian business cycle model. Zbl 1434.62237Orlando, Giuseppe; Zimatore, Giovanna 1 2020 Nonlinear dynamics in mechanics and engineering: 40 years of developments and Ali H. Nayfeh’s legacy. Zbl 1430.70002Rega, Giuseppe 1 2020 Multimodal interaction analysis of a cable-stayed bridge with consideration of spatial motion of cables. Zbl 1430.74059Kang, Houjun; Guo, Tieding; Zhu, Weidong 1 2020 Limit cycles at oversteer vehicle. Zbl 1430.70082Steindl, Alois; Edelmann, Johannes; Plöchl, Manfred 1 2020 Multifidelity modeling and comparative analysis of electrically coupled microbeams under squeeze-film damping effect. 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Zbl 1437.92023Chen, Chengjie; Chen, Jingqi; Bao, Han; Chen, Mo; Bao, Bocheng 13 2019 ...and 1620 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 24,883 Authors 238 Cao, Jinde 218 Băleanu, Dumitru I. 161 Hayat, Tasawar 118 Al-saedi, Ahmed Eid Salem 108 Machado, José António Tenreiro 105 Zhang, Wei 103 Park, Juhyun (Jessie) 99 Zhong, Shou-Ming 93 Ding, Feng 89 Sakthivel, Rathinasamy 83 Xu, Wei 79 Chen, Guanrong 78 Ahmad, Bashir 74 Llibre, Jaume 61 Dehghan Takht Fooladi, Mehdi 60 Jiang, Haijun 60 Zhu, Quanxin 59 Wang, Xingyuan 58 Chen, Yangquan 57 Liu, Fawang 56 Wang, Zhen 54 Jafari, Sajad 53 Chen, Liqun 53 Ma, Wen-Xiu 53 Pham, Viet-Thanh 53 Rakkiyappan, Rajan 52 Biswas, Anjan 52 Chen, Zengqiang 49 Mahomed, Fazal M. 48 Ntouyas, Sotiris K. 47 Kwon, O. 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