Qualitative behaviors of the continuous-time chaotic dynamical systems describing the interaction of waves in plasma

[1]  Fuchen Zhang,et al.  Further Results on Ultimate Bound on the Trajectories of the Lorenz System , 2016 .

[2]  Xiaofeng Liao,et al.  On the global boundedness of the Lü system , 2016, Appl. Math. Comput..

[3]  G. Leonov,et al.  Hidden attractors in dynamical systems , 2016 .

[4]  Gennady A. Leonov,et al.  Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations , 2016 .

[5]  Fuchen Zhang,et al.  Dynamical behaviors of the chaotic Brushless DC motors model , 2016, Complex..

[6]  T. N. Mokaev,et al.  Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion , 2015, 1505.04729.

[7]  Gennady A. Leonov,et al.  Existence criterion of homoclinic trajectories in the Glukhovsky–Dolzhansky system , 2015 .

[8]  Pan Zheng,et al.  New results of the ultimate bound on the trajectories of the family of the Lorenz systems , 2015 .

[9]  Xing-Yuan Wang,et al.  A new image encryption algorithm based on non-adjacent coupled map lattices , 2015, Appl. Soft Comput..

[10]  G. A. Leonov,et al.  Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations , 2014, 1410.2016.

[11]  Da Lin,et al.  The dynamical analysis of a new chaotic system and simulation , 2014 .

[12]  Xing-Yuan Wang,et al.  A symmetric image encryption algorithm based on mixed linear-nonlinear coupled map lattice , 2014, Inf. Sci..

[13]  Nikolay V. Kuznetsov,et al.  Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor , 2014 .

[14]  Nikolay V. Kuznetsov,et al.  Hidden attractors in Dynamical Systems. From Hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman Problems to Hidden Chaotic Attractor in Chua Circuits , 2013, Int. J. Bifurc. Chaos.

[15]  Gennady A. Leonov,et al.  The tricomi problem for the Shimizu-Morioka dynamical system , 2012 .

[16]  Gennady A. Leonov,et al.  General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu–Morioka, Lu and Chen systems , 2012 .

[17]  E. M. Elsayed,et al.  Solutions of rational difference systems of order two , 2012, Math. Comput. Model..

[18]  G. Leonov,et al.  Hidden attractor in smooth Chua systems , 2012 .

[19]  Nikolay V. Kuznetsov,et al.  Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua’s circuits , 2011 .

[20]  Fuchen Zhang,et al.  Bounds for a new chaotic system and its application in chaos synchronization , 2011 .

[21]  Zhang Huaguang,et al.  A new hyperchaotic system and its circuit implementation , 2010 .

[22]  Xing-yuan Wang,et al.  Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control , 2009 .

[23]  Pei Yu,et al.  A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family , 2009 .

[24]  Xingyuan Wang,et al.  A hyperchaos generated from Lorenz system , 2008 .

[25]  Xing-yuan Wang,et al.  Projective synchronization of fractional order chaotic system based on linear separation , 2008 .

[26]  Xing-yuan Wang,et al.  Dynamic analysis of the fractional-order Liu system and its synchronization. , 2007, Chaos.

[27]  M. Hirsch,et al.  Differential Equations, Dynamical Systems, and an Introduction to Chaos , 2003 .

[28]  Gennady A. Leonov,et al.  Bounds for attractors and the existence of homoclinic orbits in the lorenz system , 2001 .

[29]  Gennady A. Leonov,et al.  Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors , 1992 .

[30]  S. Wiggins Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .

[31]  Mikhail I. Rabinovich,et al.  Stochastic self-oscillations and turbulence , 1978 .

[32]  I. VagaitsevV.,et al.  Localization of hidden Chua ’ s attractors , 2022 .