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) 34 Cao, Jinde 30 Zhang, Wei 28 Machado, José António Tenreiro 24 Băleanu, Dumitru I. 24 Shabana, Ahmed A. 21 Biswas, Anjan 21 Chen, Zengqiang 21 Rand, Richard H. 21 Wang, Xingyuan 20 Vakakis, Alexander F. 19 Ding, Feng 19 Llibre, Jaume 19 van Horssen, Wilhem Teunis 18 Belhaq, Mohamed 18 Chen, Lansun 18 Liao, Xiaofeng 18 Mahomed, Fazal M. 18 Tian, Bo 17 Awrejcewicz, Jan 17 Chen, Liqun 17 Lamarque, Claude-Henri 17 Zhou, Qin 16 Kara, Abdul Hamid 15 Ahn, Choon Ki 15 Balthazar, José Manoel 15 Gao, Yitian 15 Mirzazadeh, Mohammad 15 Yabuno, Hiroshi 14 Aghababa, Mohammad Pourmahmood 14 Balasubramaniam, Pagavathigounder 14 Gendelman, Oleg V. 14 Luongo, Angelo 14 Mobayen, Saleh 13 Chen, Guanrong 13 Fang, Jian’an 13 Hayat, Tasawar 13 Wang, Zuolei 12 Hu, Haiyan 12 Liu, Wenjun J. 12 Maccari, Attilio 12 Rakkiyappan, Rajan 12 Rega, Giuseppe 12 Tong, Shaocheng 12 Wazwaz, Abdul-Majid Abdul-Rahman 12 Zhou, Wuneng 11 Bergman, Lawrence A. 11 Ibragimov, Nail Hairullovich 11 Liu, Zhi 11 Lü, Xing 11 Mahmoud, Gamal M. 11 Natsiavas, Sotirios 11 Oustaloup, Alain 11 Shang, Pengjian 11 Shi, Xuerong 11 Xu, Wei 11 Yang, Qigui 11 Yao, Minghui 11 Yoo, Sung Jin 10 Algaba, Antonio 10 Belić, Milivoj R. 10 Butcher, Eric A. 10 Chatterjee, Anindya 10 Chen, Yangquan 10 Danca, Marius-Florin 10 Huang, Lihong 10 Jiang, Weihua 10 Li, Chuandong 10 Liu, Shutang 10 Qi, Guoyuan 10 Rodríguez-Luis, Alejandro J. 10 Sinha, Subhash C. 10 Stépán, Gábor 10 Wang, Zhen 10 Xu, Yuhua 10 Younesian, Davood 10 Zhang, Yun 10 Zhong, Shou-Ming 10 Zotos, Euaggelos E. 9 Feeny, Brian F. 9 Feng, Jianwen 9 Hajj, Muhammad R. 9 Huang, Tingwen 9 Lenci, Stefano 9 Li, Yongming 9 Liu, Chongxin 9 Ma, Junhai 9 Nijmeijer, Henk 9 Pilipchuk, Valery N. 9 Triki, Houria 9 Wu, Huaining 9 Yang, Yixian 8 Bajaj, Anil K. 8 Bi, Qinsheng 8 Ding, Hu 8 Ekici, Mehmet 8 Escalona, José Luis 8 Freire Macías, Emilio 8 Ji, Jinchen ...and 6,924 more Authors 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 3,753 Publications have been cited 32,085 times in 16,933 Documents Cited by ▼ Year ▼ A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 581 2002 Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115Deng, Weihua; Li, Changpin; Lü, Jinhu 254 2007 Variable order and distributed order fractional operators. Zbl 1018.93007Lorenzo, Carl F.; Hartley, Tom T. 211 2002 A general formulation and solution scheme for fractional optimal control problems. Zbl 1121.70019Agrawal, Om Prakash 202 2004 Solution for a fractional diffusion-wave equation defined in a bounded domain. Zbl 1009.65085Agrawal, Om P. 186 2002 Time fractional diffusion: A discrete random walk approach. Zbl 1009.82016Gorenflo, Rudolf; Mainardi, Francesco; Moretti, Daniele; Paradisi, Paolo 137 2002 Discrete fractional logistic map and its chaos. Zbl 1281.34121Wu, Guo-Cheng; Baleanu, Dumitru 120 2014 Bifurcations in nonlinear discontinuous systems. Zbl 0980.70018Leine, R. I.; van Campen, D. H.; van de Vrande, B. L. 108 2000 Anlogue realizations of fractional-order controllers. Zbl 1041.93022Podlubny, I.; Petráš, I.; Vinagre, B. M.; O’Leary, P.; Dorčák, L’. 105 2002 Spectral properties of dynamical systems, model reduction and decompositions. Zbl 1098.37023Mezić, Igor 104 2005 Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. Zbl 1170.76317Abbasbandy, S.; Zakaria, F. Samadian 99 2008 Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt. Zbl 1181.76031Sajid, M.; Hayat, T.; Asghar, S. 98 2007 Fractional conservation laws in optimal control theory. Zbl 1170.49017Frederico, Gastão S. F.; Torres, Delfim F. M. 98 2008 Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation. Zbl 1345.65060Bhrawy, A. H.; Zaky, M. A. 96 2015 Noether-type symmetries and conservation laws via partial Lagrangians. Zbl 1121.70014Kara, A. H.; Mahomed, F. M. 94 2006 Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations. Zbl 1354.35127Ma, Wen Xiu; Qin, Zhenyun; Lü, Xing 93 2016 The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview. Zbl 1103.70011Kerschen, Gaetan; Golinval, Jean-Claude; Vakaris, Alexander F.; Bergman, Lawrence A. 78 2005 Homotopy solutions for a generalized second-grade fluid past a porous plate. Zbl 1094.76005Hayat, Tasawar; Khan, Masood 77 2005 Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation. Zbl 1355.35159Lü, Xing; Ma, Wen-Xiu 76 2016 Dynamics and control of initialized fractional-order systems. Zbl 1021.93019Hartley, Tom T.; Lorenzo, Carl F. 75 2002 Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil 73 2012 Adaptive synchronization of fractional-order memristor-based neural networks with time delay. Zbl 1348.93159Bao, Haibo; Park, Ju H.; Cao, Jinde 71 2015 Analytical stability bound for a class of delayed fractional-order dynamic systems. Zbl 1020.34064Chen, Yangquan; Moore, Kevin L. 70 2002 Exponential input-to-state stability of stochastic Cohen-Grossberg neural networks with mixed delays. Zbl 1345.92019Zhu, Quanxin; Cao, Jinde; Rakkiyappan, R. 69 2015 Numerical solution of the Klein-Gordon equation via He’s variational iteration method. Zbl 1179.81064Shakeri, Fatemeh; Dehghan, Mehdi 68 2008 Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105Odibat, Zaid M. 65 2010 Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique. Zbl 1253.93016Aghababa, Mohammad Pourmahmood 64 2012 Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. Zbl 1215.93114Mahmoud, Gamal M.; Mahmoud, Emad E. 64 2010 Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1349.35007Lü, Xing; Chen, Shou-Ting; Ma, Wen-Xiu 60 2016 Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations. Zbl 1038.34075Das, S. L.; Chatterjee, A. 60 2002 A study of the nonlinear response of a resonant microbeam to an electric actuation. Zbl 1047.74027Younis, M. I.; Nayfeh, A. H. 59 2003 A review of operational matrices and spectral techniques for fractional calculus. Zbl 1348.65106Bhrawy, Ali H.; Taha, Taha M.; Tenreiro Machado, José A. 59 2015 Fractional control of heat diffusion systems. Zbl 1210.80008Jesus, Isabel S.; Tenreiro Machado, J. A. 58 2008 Lie symmetry analysis of differential equations in finance. Zbl 0929.35006Gazizov, R. K.; Ibragimov, N. H. 57 1998 Adaptive synchronization of uncertain dynamical networks with delayed coupling. Zbl 1182.92007Lu, Jianquan; Cao, Jinde 57 2008 Finite-time synchronization control for uncertain Markov jump neural networks with input constraints. Zbl 1331.92019Shen, Hao; Park, Ju H.; Wu, Zheng-Guang 56 2014 Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review. Zbl 1134.93300Chen, Yangquan; Vinagre, Blas M.; Podlubny, Igor 56 2004 On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328Baleanu, Dumitru; Trujillo, Juan J. 55 2008 Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays. Zbl 1331.93102Stamova, Ivanka 53 2014 \(p\)th moment exponential synchronization for stochastic delayed Cohen-Grossberg neural networks with Markovian switching. Zbl 1242.93126Zhu, Quanxin; Cao, Jinde 53 2012 Adaptive synchronization of chaotic Cohen-Grossberg neural networks with mixed time delays. (Adaptive synchronization of chaotic Cohen-Crossberg neural networks with mixed time delays.) Zbl 1204.93064Zhu, Quanxin; Cao, Jinde 53 2010 Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations. Zbl 1005.70019Kalmár-Nagy, Tamás; Stépán, Gábor; Moon, Francis C. 52 2001 Finite-time synchronization of complex networks with nonidentical discontinuous nodes. Zbl 1281.34100Yang, Xinsong; Wu, Zhiyou; Cao, Jinde 51 2013 Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction. Zbl 1170.70355Nayfeh, Ali H. 51 2008 Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays. Zbl 1331.34154Rakkiyappan, R.; Velmurugan, G.; Cao, Jinde 50 2014 Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure. Zbl 1176.92056Qu, Ying; Wei, Junjie 49 2007 Gradient-based identification methods for Hammerstein nonlinear ARMAX models. Zbl 1134.93321Ding, Feng; Shi, Yang; Chen, Tongwen 49 2006 Fractional dynamical system and its linearization theorem. Zbl 1268.34019Li, Changpin; Ma, Yutian 49 2013 Fractional boundary value problems with singularities in space variables. Zbl 1268.34023O’Regan, Donal; Staněk, Svatoslav 49 2013 Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique. Zbl 1314.93013Wang, Cheng; Tang, Tao 48 2014 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 48 2012 Conservation laws for time-fractional subdiffusion and diffusion-wave equations. Zbl 1345.35131Lukashchuk, Stanislav Yu. 48 2015 Numerical algorithm for the variable-order Caputo fractional functional differential equation. Zbl 1349.65505Bhrawy, A. H.; Zaky, M. A. 47 2016 Analysis of thin beams and cables using the absolute nodal co-ordinate formulation. Zbl 1138.74391Gerstmayr, Johannes; Shabana, Ahmed A. 47 2006 Abstract Cauchy problem for fractional differential equations. Zbl 1268.34034Wang, Jinrong; Zhou, Yong; Feckan, Michal 47 2013 Fractional-order delayed predator-prey systems with Holling type-II functional response. Zbl 1345.92123Rihan, F. A.; Lakshmanan, S.; Hashish, A. H.; Rakkiyappan, R.; Ahmed, E. 47 2015 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. 46 2000 Resonances of a harmonically forced Duffing oscillator with time delay state feedback. Zbl 0906.34052Hu, Haiyan; Dowell, Earl H.; Virgin, Lawrence N. 46 1998 Ši’lnikov chaos in the generalized Lorenz canonical form of dynamical systems. Zbl 1142.70012Zhou, Tianshou; Chen, Guanrong; Čelikovský, Sergej 46 2005 Global properties of a class of virus infection models with multitarget cells. Zbl 1254.92064Elaiw, A. M. 46 2012 A numerical method for KdV equation using collocation and radial basis functions. Zbl 1185.76832Dehghan, Mehdi; Shokri, Ali 45 2007 Fractional integration and differentiation of variable order: an overview. Zbl 1268.34025Samko, Stefan 45 2013 Secure communication based on chaotic synchronization via interval time-varying delay feedback control. Zbl 1215.93127Kwon, O. M.; Park, Ju H.; Lee, S. M. 45 2011 Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control. Zbl 1031.93110Vinagre, B. M.; Petráš, I.; Podlubny, I.; Chen, Y. Q. 44 2002 Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Zbl 0899.70005Anitescu, M.; Potra, F. A. 44 1997 A general mechanism to generate three limit cycles in planar Filippov systems with two zones. Zbl 1314.37031Freire, Emilio; Ponce, Enrique; Torres, Francisco 44 2014 Synchronization of neutral complex dynamical networks with coupling time-varying delays. Zbl 1280.93005Ji, D. H.; Lee, D. W.; Koo, J. H.; Won, S. C.; Lee, S. M.; Park, Ju H. 43 2011 Finite time integral sliding mode control of hypersonic vehicles. Zbl 1281.70016Sun, Haibin; Li, Shihua; Sun, Changyin 43 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 42 2014 Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations. Zbl 1349.37031Kuznetsov, N. V.; Alexeeva, T. A.; Leonov, G. A. 42 2016 Sampled-data-based lag synchronization of chaotic delayed neural networks with impulsive control. Zbl 1380.34082Zhang, Xiaoyu; Lv, Xiaoxiao; Li, Xiaodi 42 2017 Generalized projective synchronization of the fractional-order Chen hyperchaotic system. Zbl 1176.70029Wu, Xiangjun; Lu, Yang 42 2009 Robust dissipativity analysis of neural networks with time-varying delay and randomly occurring uncertainties. Zbl 1253.93040Wu, Zheng-Guang; Park, Ju H.; Su, Hongye; Chu, Jian 42 2012 Global exponential estimates for uncertain Markovian jump neural networks with reaction-diffusion terms. Zbl 1411.60114Shen, Hao; Huang, Xia; Zhou, Jianping; Wang, Zhen 42 2012 Dynamic pull-in phenomenon in MEMS resonators. Zbl 1177.74191Nayfeh, Ali H.; Younis, Mohammad I.; Abdel-Rahman, Eihab M. 41 2007 Synchronization for chaotic Lur’e systems with sector-restricted nonlinearities via delayed feedback control. Zbl 1183.70073Lee, S. M.; Choi, S. J.; Ji, D. H.; Park, Ju H.; Won, S. C. 41 2010 Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M. 40 1998 Predator cannibalism can give rise to regular spatial pattern in a predator-prey system. Zbl 1183.92084Sun, Gui-Quan; Zhang, Guang; Jin, Zhen; Li, Li 40 2009 Modified projective synchronization of fractional-order chaotic systems via active sliding mode control. Zbl 1253.93023Wang, Xingyuan; Zhang, Xiaopeng; Ma, Chao 40 2012 LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru 40 2013 State estimation for Markovian jumping recurrent neural networks with interval time-varying delays. Zbl 1194.62109Balasubramaniam, P.; Lakshmanan, S.; Jeeva Sathya Theesar, S. 39 2010 Chaos and Hopf bifurcation of a finance system. Zbl 1183.91193Gao, Qin; Ma, Junhai 39 2009 Description of elastic forces in absolute nodal coordinate formulation. Zbl 1041.74547Sopanen, Jussi T.; Mikkola, Aki M. 38 2003 Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane. Zbl 1281.34037de Carvalho Braga, Denis; Mello, Luis Fernando 38 2013 Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems. Zbl 1348.93216Yin, Chun; Cheng, Yuhua; Chen, Yangquan; Stark, Brandon; Zhong, Shouming 38 2015 Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators. Zbl 0999.70019Gendelman, Oleg V. 38 2001 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 38 2015 Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales. Zbl 0994.65140Yu, Pei 37 2002 Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 37 2015 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. 37 2018 The dynamics of two coupled van der Pol oscillators with delay coupling. Zbl 1021.70010Wirkus, Stephen; Rand, Richard 37 2002 The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables. Zbl 1005.70023Manevitch, L. I. 37 2001 Tuning of PID controllers based on Bode’s ideal transfer function. Zbl 1134.93334Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Ferreira, Isabel M. 37 2004 Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system. Zbl 1170.70365Mahmoud, Gamal M.; Aly, Shaban A.; Al-Kashif, M. A. 37 2008 Adaptive synchronization of fractional-order chaotic systems via a single driving variable. Zbl 1242.93030Zhang, Ruoxun; Yang, Shiping 37 2011 Adaptive robust fuzzy control for a class of uncertain chaotic systems. Zbl 1176.93040Liu, Yanjun; Zheng, Yaqin 37 2009 Phase and antiphase synchronization of two identical hyperchaotic complex nonlinear systems. Zbl 1204.93096Mahmoud, Gamal M.; Mahmoud, Emad E. 37 2010 Synchronization of reaction-diffusion neural networks with time-varying delays via stochastic sampled-data controller. Zbl 1331.92018Rakkiyappan, R.; Dharani, S.; Zhu, Quanxin 37 2015 Fractional calculus via functional calculus: Theory and applications. Zbl 1026.47010Kempfle, Siegmar; Schäfer, Ingo; Beyer, Horst 36 2002 Bifurcation analysis in a delayed Lotka-Volterra predator-prey model with two delays. (Bifurcation analysis in a delayed Lokta-Volterra predator-prey model with two delays.) Zbl 1297.37044Xu, Changjin; Tang, Xianhua; Liao, Maoxin; He, Xiaofei 36 2011 A hidden mode observation approach to finite-time SOFC of Markovian switching systems with quantization. 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Zbl 1459.34046Tarasov, Vasily E. 1 2020 Stochastic bifurcations in a nonlinear tri-stable energy harvester under colored noise. Zbl 1459.34134Zhang, Yanxia; Jin, Yanfei; Xu, Pengfei; Xiao, Shaomin 1 2020 A constrained error-based MPC for path following of quadrotor with stability analysis. Zbl 1459.93069Eskandarpour, Abolfazl; Sharf, Inna 1 2020 Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics. Zbl 1459.35076Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui; Jia, Ting-Ting 1 2020 Existence of invariant curves for a Fermi-type impact absorber. Zbl 1434.70045Cao, Zhenbang; Zhang, Xiaoming; Li, Denghui; Yin, Shan; Xie, Jianhua 1 2020 Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running. Zbl 1434.34052Płociniczak, Łukasz; Wróblewska, Zofia 1 2020 Quantized feedback adaptive command filtered backstepping control for a class of uncertain nonlinear strict-feedback systems. Zbl 1434.93020Choi, Yun Ho; Yoo, Sung Jin 1 2020 Global dynamics of a Holling Type-III two prey-one predator discrete model with optimal harvest strategy. Zbl 1434.37048Banerjee, Ritwick; Das, Pritha; Mukherjee, Debasis 1 2020 Stability and Hopf bifurcation for a delayed predator-prey model with stage structure for prey and Ivlev-type functional response. Zbl 1434.37049Hu, Dongpo; Li, Yunyun; Liu, Ming; Bai, Yuzhen 1 2020 Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach. Zbl 1434.35182Liu, Nan; Guo, Boling 1 2020 Parrondo’s paradox from classical to quantum: a review. Zbl 1434.81013Lai, Joel Weijia; Cheong, Kang Hao 1 2020 Hidden dynamics in a fractional-order memristive Hindmarsh-Rose model. Zbl 1434.34018Yu, Yajuan; Shi, Min; Kang, Huiyan; Chen, Mo; Bao, Bocheng 1 2020 Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera. Zbl 1434.92015Bao, Han; Zhang, Yunzhen; Liu, Wenbo; Bao, Bocheng 1 2020 Hidden and self-excited coexisting attractors in a Lorenz-like system with two equilibrium points. Zbl 1439.34045Cang, Shijian; Li, Yue; Zhang, Ruiye; Wang, Zenghui 10 2019 Phase-shift controlling of three solitons in dispersion-decreasing fibers. Zbl 1430.78006Liu, Suzhi; Zhou, Qin; Biswas, Anjan; Liu, Wenjun 9 2019 Chaotic system with bondorbital attractors. Zbl 1430.37045Zhang, Xin; Wang, Chunhua; Yao, Wei; Lin, Hairong 9 2019 Chaos and hyperchaos via secondary Neimark-Sacker bifurcation in a model of radiophysical generator. Zbl 1430.37042Stankevich, Nataliya; Kuznetsov, Alexander; Popova, Elena; Seleznev, Evgeniy 8 2019 Modelings and mechanism analysis underlying both the 4D Euler equations and Hamiltonian conservative chaotic systems. Zbl 1432.70020Qi, Guoyuan 8 2019 Conditional symmetry: bond for attractor growing. Zbl 1439.94108Li, Chunbiao; Xu, Yujie; Chen, Guanrong; Liu, Yongjian; Zheng, Jincun 8 2019 Evolutionary dynamics of cooperation in the public goods game with pool exclusion strategies. Zbl 1431.91033Liu, Linjie; Chen, Xiaojie; Perc, Matjaž 7 2019 Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves. Zbl 1430.37071Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu 7 2019 The amplitude, frequency and parameter space boosting in a memristor-meminductor-based circuit. Zbl 1437.94112Yuan, Fang; Deng, Yue; Li, Yuxia; Wang, Guangyi 7 2019 Numerical investigation of the nonlinear modified anomalous diffusion process. Zbl 1430.60091Nikan, O.; Tenreiro Machado, J. A.; Golbabai, A.; Nikazad, T. 6 2019 Combined open-loop and funnel control for underactuated multibody systems. Zbl 1432.93102Berger, Thomas; Otto, Svenja; Reis, Timo; Seifried, Robert 6 2019 Bursting oscillations and coexisting attractors in a simple memristor-capacitor-based chaotic circuit. Zbl 1430.94112Wang, Ning; Zhang, Guoshan; Bao, Han 5 2019 Three-dimensional optical solitons formed by the balance between different-order nonlinearities and high-order dispersion/diffraction in parity-time symmetric potentials. Zbl 1430.78005Dai, Chao-Qing; Fan, Yan; Wang, Yue-Yue 5 2019 Evolution of initial discontinuity for the defocusing complex modified KdV equation. Zbl 1430.37085Kong, Liang-Qian; Wang, Lei; Wang, Deng-Shan; Dai, Chao-Qing; Wen, Xiao-Yong; Xu, Ling 5 2019 An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique. Zbl 1430.34005Hassani, H.; Machado, J. A. Tenreiro; Avazzadeh, Z. 5 2019 Weighted \(\mathcal{H}_\infty\) consensus design for stochastic multi-agent systems subject to external disturbances and ADT switching topologies. Zbl 1437.93126Zhou, Jianping; Wang, Yang; Zheng, Xiao; Wang, Zhen; Shen, Hao 5 2019 A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form. Zbl 1430.37054Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J. 4 2019 Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons. Zbl 1430.74073Jia, Ting-Ting; Gao, Yi-Tian; Deng, Gao-Fu; Hu, Lei 4 2019 New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions. Zbl 1430.37078Wazwaz, Abdul-Majid; Kaur, Lakhveer 4 2019 Dynamical behavior of a fractional three-species food chain model. Zbl 1432.37115Alidousti, J.; Mostafavi Ghahfarokhi, M. 4 2019 Global synchronization in fixed time for semi-Markovian switching complex dynamical networks with hybrid couplings and time-varying delays. Zbl 1432.93155Wang, Zhibo; Wu, Huaiqin 4 2019 A critical analysis of the conformable derivative. Zbl 1437.26006Abdelhakim, Ahmed A.; Machado, José A. Tenreiro 4 2019 Characteristics and interactions of solitary and lump waves of a \((2+1)\)-dimensional coupled nonlinear partial differential equation. Zbl 1437.37095Ren, Bo; Ma, Wen-Xiu; Yu, Jun 4 2019 ELECTRE II method to deal with probabilistic linguistic term sets and its application to edge computing. Zbl 1437.91154Lin, Mingwei; Chen, Zheyu; Liao, Huchang; Xu, Zeshui 4 2019 Patterns of interaction of coupled reaction-diffusion systems of the Fitzhugh-Nagumo type. Zbl 1430.35136Zhang, Chunrui; Ke, Ai; Zheng, Baodong 3 2019 Non-fragile saturation control of nonlinear positive Markov jump systems with time-varying delays. Zbl 1430.60069Zhang, Junfeng; Raïssi, Tarek; Li, Shicheng 3 2019 On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models. Zbl 1430.74084Givois, Arthur; Grolet, Aurélien; Thomas, Olivier; Deü, Jean-François 3 2019 Nonlinear vibration of axially moving beams with internal resonance, speed-dependent tension, and tension-dependent speed. Zbl 1430.74093Tang, You-Qi; Ma, Zhao-Guang 3 2019 Spatiotemporal dynamics near the Turing-Hopf bifurcation in a toxic-phytoplankton-zooplankton model with cross-diffusion. Zbl 1430.37119Wang, Wen; Liu, Shutang; Liu, Zhibin 3 2019 Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation. Zbl 1430.37077Wang, Xin; Wei, Jiao; Wang, Lei; Zhang, Jianlin 3 2019 Dynamics of a vibro-impact system by the global analysis method in parameter-state space. Zbl 1430.34054Li, Guofang; Sun, Jie; Ding, Wangcai 3 2019 Complexity of a dynamic hybrid supply chain game model with a service factor. Zbl 1431.90028Tu, Hongliang; Mao, Xiaobing; Wang, Xinyu 3 2019 Capacitor coupling induces synchronization between neural circuits. Zbl 1430.94110Liu, Zhilong; Wang, Chunni; Jin, Wuyin; Ma, Jun 3 2019 Bursting oscillations in Sprott B system with multi-frequency slow excitations: two novel “Hopf/Hopf”-hysteresis-induced bursting and complex AMB rhythms. Zbl 1430.70086Zhou, Chengyi; Li, Zhijun; xie, Fei; Ma, Minglin; Zhang, Yi 3 2019 Complex simplified Hirota’s forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation. Zbl 1432.37093Wazwaz, Abdul-Majid; Kaur, Lakhveer 3 2019 Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons. Zbl 1437.92023Chen, Chengjie; Chen, Jingqi; Bao, Han; Chen, Mo; Bao, Bocheng 3 2019 Stripe solitons and lump solutions for a generalized Kadomtsev-Petviashvili equation with variable coefficients in fluid mechanics. Zbl 1437.35583Liu, Jian-Guo; Ye, Qing 3 2019 Multiplicative of dual-waves generated upon increasing the phase velocity parameter embedded in dual-mode Schrödinger with nonlinearity Kerr laws. Zbl 1437.35614Alquran, Marwan; Jaradat, Imad 3 2019 Synchronization realization between two nonlinear circuits via an induction coil coupling. Zbl 1437.94111Yao, Zhao; Ma, Jun; Yao, Yuangen; Wang, Chunni 3 2019 Dynamic analysis of fractional-order predator-prey biological economic system with Holling type II functional response. Zbl 1437.37119El-Saka, H. A. 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Zbl 1430.93196Liu, Xiaolu; Xiao, Jiang-Wen; Chen, Duxin; Wang, Yan-Wu 2 2019 Analytic prediction of isolated forced response curves from spectral submanifolds. Zbl 1430.70073Ponsioen, S.; Pedergnana, T.; Haller, George 2 2019 Basic mechanisms of escape of a harmonically forced classical particle from a potential well. Zbl 1430.70004Gendelman, O. V.; Karmi, G. 2 2019 A Taylor series-based continuation method for solutions of dynamical systems. Zbl 1430.37099Guillot, Louis; Cochelin, Bruno; Vergez, Christophe 2 2019 Lie symmetry reductions and group invariant solutions of \((2+1)\)-dimensional modified Veronese web equation. Zbl 1430.37086Kumar, Sachin; Kumar, Amit 2 2019 Adaptive neural network finite time control for quadrotor UAV with unknown input saturation. Zbl 1430.70036Xu, Qingzheng; Wang, Zhisheng; Zhen, Ziyang 2 2019 Broken and unbroken \(\mathcal{PT}\)-symmetric solutions of semi-discrete nonlocal nonlinear Schrödinger equation. Zbl 1430.37084Hanif, Y.; Saleem, U. 2 2019 Novel characteristics of lump and lump-soliton interaction solutions to the generalized variable-coefficient Kadomtsev-Petviashvili equation. Zbl 1430.74075Xu, Hui; Ma, Zhengyi; Fei, Jinxi; Zhu, Quanyong 2 2019 Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers. Zbl 1430.35210Ma, Yu-Lan 2 2019 Nonlinear dynamics of a viscoelastic traveling beam with time-dependent axial velocity and variable axial tension. Zbl 1430.74090Sahoo, Bamadev 2 2019 Generalized Wright stability for distributed fractional-order nonlinear dynamical systems and their synchronization. Zbl 1430.34007Mahmoud, Gamal M.; Aboelenen, Tarek; Abed-Elhameed, Tarek M.; Farghaly, Ahmed A. 2 2019 Critical elastic parameters motivating divergence instability of frictional composite infinitely long media. Zbl 1430.70078Agwa, M. 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Zbl 1430.35228Fragkoulis, V. C.; Kougioumtzoglou, I. A.; Pantelous, A. A.; Beer, M. 2 2019 Rogue waves generation through multiphase solutions degeneration for the derivative nonlinear Schrödinger equation. Zbl 1430.35215Xu, Shuwei; He, Jingsong; Mihalache, Dumitru 2 2019 First integrals and analytical solutions of some dynamical systems. Zbl 1432.37084Haq, B. U.; Naeem, Imran 2 2019 Distributed adaptive fault-tolerant attitude tracking of multiple flexible spacecraft on \(\mathrm{SO}(3)\). Zbl 1432.70047Chen, Ti; Shan, Jinjun 2 2019 Traveling chimera states for coupled pendula. Zbl 1432.70024Dudkowski, Dawid; Czołczyński, Krzysztof; Kapitaniak, Tomasz 2 2019 Dynamics of some novel breather solutions and rogue waves for the PT-symmetric nonlocal soliton equations. Zbl 1432.37094Yu, Fajun; Li, Li 2 2019 Dynamics of a stochastic system driven by cross-correlated sine-Wiener bounded noises. Zbl 1432.60065Wang, Can-Jun; Lin, Qiao-Feng; Yao, Yuan-Gen; Yang, Ke-Li; Tian, Meng-Yu; Wang, Ya 2 2019 Amplitude death islands in globally delay-coupled fractional-order oscillators. Zbl 1432.34048Xiao, Rui; Sun, Zhongkui; Yang, Xiaoli; Xu, Wei 2 2019 Nonlinear vibration of a beam with asymmetric elastic supports. Zbl 1432.74110Ding, Hu; Li, Yi; Chen, Li-Qun 2 2019 ...and 1357 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 19,618 Authors 186 Cao, Jinde 156 Băleanu, Dumitru I. 144 Hayat, Tasawar 102 Machado, José António Tenreiro 96 Park, Juhyun (Jessie) 92 Zhang, Wei 85 Zhong, Shou-Ming 84 Ding, Feng 66 Chen, Guanrong 60 Ahmad, Bashir 60 Xu, Wei 58 Dehghan Takht Fooladi, Mehdi 55 Chen, Yangquan 55 Llibre, Jaume 54 Liu, Fawang 53 Wang, Zhen 49 Rakkiyappan, Rajan 47 Jiang, Haijun 47 Mahomed, Fazal M. 47 Pham, Viet-Thanh 47 Sakthivel, Rathinasamy 46 Al-saedi, Ahmed Eid Salem 46 Ma, Wen-Xiu 46 Zhu, Quanxin 45 Chen, Liqun 44 Wang, Xingyuan 43 Chen, Zengqiang 43 Liao, Xiaofeng 42 Biswas, Anjan 41 Balasubramaniam, Pagavathigounder 40 Ntouyas, Sotiris K. 40 Torres, Delfim Fernando Marado 39 Elaiw, Ahmed M. 39 Huang, Tingwen 39 Kwon, O. M. 37 Abbasbandy, Saeid 37 Huang, Lihong 37 Jafari, Sajad 37 Kara, Abdul Hamid 37 Yang, Qigui 36 Cheng, Jun 36 Luo, Albert C. 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