The simplest 4-D chaotic system with line of equilibria, chaotic 2-torus and 3-torus behaviour
暂无分享,去创建一个
[1] Georg A. Gottwald,et al. On the Implementation of the 0-1 Test for Chaos , 2009, SIAM J. Appl. Dyn. Syst..
[2] Alex V. Klokov,et al. Parametrically excited Pendulum Systems with Several Equilibrium Positions: bifurcation Analysis and Rare attractors , 2011, Int. J. Bifurc. Chaos.
[3] Chaoxia Zhang. Theoretical design approach of four-dimensional piecewise-linear multi-wing hyperchaotic differential dynamic system , 2016 .
[4] Nikolay V. Kuznetsov,et al. Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity , 2015, Commun. Nonlinear Sci. Numer. Simul..
[5] Sundarapandian Vaidyanathan,et al. A Chaotic System With Equilibria Located on the Rounded Square Loop and Its Circuit Implementation , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.
[6] G. Leonov,et al. Hidden attractor in smooth Chua systems , 2012 .
[7] Runtong Chu,et al. Selection of multi-scroll attractors in Jerk circuits and their verification using Pspice , 2014 .
[8] J. P. Singh,et al. The nature of Lyapunov exponents is (+, +, −, −). Is it a hyperchaotic system? , 2016 .
[9] Zhonglin Wang,et al. A four-wing hyper-chaotic attractor generated from a 4-D memristive system with a line equilibrium , 2015 .
[10] G. Leonov,et al. Hidden attractors in dynamical systems , 2016 .
[11] Darryll J. Pines,et al. EMD AND INSTANTANEOUS PHASE DETECTION OF STRUCTURAL DAMAGE , 2005 .
[12] L. Tam,et al. Hybrid Stability Checking Method for Synchronization of Chaotic Fractional-Order Systems , 2014 .
[13] Qigui Yang,et al. A Chaotic System with One saddle and Two Stable Node-Foci , 2008, Int. J. Bifurc. Chaos.
[14] Zhouchao Wei,et al. Hidden Hyperchaotic Attractors in a Modified Lorenz-Stenflo System with Only One Stable Equilibrium , 2014, Int. J. Bifurc. Chaos.
[15] Jun Ma,et al. Model of electrical activity in a neuron under magnetic flow effect , 2016 .
[16] Julien Clinton Sprott,et al. Strange attractors with various equilibrium types , 2015 .
[17] E. Bradley,et al. Recurrence plots and unstable periodic orbits. , 2002, Chaos.
[18] Binoy Krishna Roy,et al. Synchronization and anti-synchronization of Lu and Bhalekar–Gejji chaotic systems using nonlinear active control , 2014 .
[19] G. Leonov,et al. Localization of hidden Chuaʼs attractors , 2011 .
[20] Chun-Lai Li,et al. Multiple attractors and robust synchronization of a chaotic system with no equilibrium , 2016 .
[21] Guanrong Chen,et al. A spherical chaotic system , 2015 .
[22] Viet-Thanh Pham,et al. Constructing a Novel No-Equilibrium Chaotic System , 2014, Int. J. Bifurc. Chaos.
[23] Julien Clinton Sprott,et al. Recent new examples of hidden attractors , 2015 .
[24] B. K. Roy,et al. Analysis of an One Equilibrium Novel Hyperchaotic System and its Circuit Validation , 2016 .
[25] Przemyslaw Perlikowski,et al. Multistability and Rare attractors in van der Pol-Duffing oscillator , 2011, Int. J. Bifurc. Chaos.
[26] Julien Clinton Sprott,et al. Elementary quadratic chaotic flows with no equilibria , 2013 .
[27] 杨世平,et al. Adaptive synchronisation of fractional-order chaotic systems , 2010 .
[28] Georg A. Gottwald,et al. A new test for chaos in deterministic systems , 2004, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[29] Guanrong Chen,et al. On a new asymmetric chaotic system , 2008 .
[30] Leon O. Chua,et al. Practical Numerical Algorithms for Chaotic Systems , 1989 .
[31] A. Wolf,et al. Determining Lyapunov exponents from a time series , 1985 .
[32] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[33] Yongjian Liu,et al. A New Fractional-Order Chaotic System and Its Synchronization with Circuit Simulation , 2012, Circuits, Systems, and Signal Processing.
[34] Ping Zhou,et al. Hyperchaos, chaos, and horseshoe in a 4D nonlinear system with an infinite number of equilibrium points , 2014 .
[35] L. C. Gómez-Pavón,et al. Synchronization of PWL function-based 2D and 3D multi-scroll chaotic systems , 2012 .
[36] Julien Clinton Sprott,et al. Bistability in a hyperchaotic system with a line equilibrium , 2014 .
[37] Parag Gupta,et al. Design and Hardware Implementation of a New Chaotic Secure Communication Technique , 2016, PloS one.
[38] T. N. Mokaev,et al. Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion Homoclinic orbits, and self-excited and hidden attractors , 2015 .
[39] Guanrong Chen,et al. YET ANOTHER CHAOTIC ATTRACTOR , 1999 .
[40] Binoy Krishna Roy,et al. Crisis and inverse crisis route to chaos in a new 3-D chaotic system with saddle, saddle foci and stable node foci nature of equilibria , 2016 .
[41] 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.
[42] Alain Tiedeu,et al. Secured Transmission of ECG Signals: Numerical and Electronic Simulations , 2013 .
[43] Viet-Thanh Pham,et al. A Novel No-Equilibrium Chaotic System with Multiwing Butterfly Attractors , 2015, Int. J. Bifurc. Chaos.
[44] K. Thamilmaran,et al. Transient chaos in a globally coupled system of nearly conservative Hamiltonian Duffing oscillators , 2015 .
[45] Bocheng Bao,et al. Multistability induced by two symmetric stable node-foci in modified canonical Chua’s circuit , 2017 .
[46] Julien Clinton Sprott,et al. A Simple Chaotic Flow with a Plane of Equilibria , 2016, Int. J. Bifurc. Chaos.
[47] Julien Clinton Sprott,et al. A Proposed Standard for the Publication of New Chaotic Systems , 2011, Int. J. Bifurc. Chaos.
[48] O. Rössler. CONTINUOUS CHAOS—FOUR PROTOTYPE EQUATIONS , 1979 .
[49] Guanrong Chen,et al. Constructing a chaotic system with any number of equilibria , 2012, 1201.5751.
[50] Herbert Ho-Ching Iu,et al. Circuit simulation for synchronization of a fractional-order and integer-order chaotic system , 2013 .
[51] Julien Clinton Sprott,et al. A New Piecewise Linear Hyperchaotic Circuit , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.
[52] Nikolay V. Kuznetsov,et al. Control of multistability in hidden attractors , 2015 .
[53] Jürgen Kurths,et al. Recurrence plots for the analysis of complex systems , 2009 .
[54] Guang Zeng,et al. Hyperchaos and horseshoe in a 4D memristive system with a line of equilibria and its implementation , 2014, Int. J. Circuit Theory Appl..
[55] Julien Clinton Sprott,et al. A chaotic system with a single unstable node , 2015 .
[56] Julien Clinton Sprott,et al. Simple chaotic flows with a line equilibrium , 2013 .
[57] Shengwei Yao,et al. Stability Switches and Hopf Bifurcation in a Coupled FitzHugh-Nagumo Neural System with Multiple Delays , 2014 .
[58] Nikolay V. Kuznetsov,et al. Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor , 2014 .
[59] Hassan Saberi Nik,et al. Chaos control of a bounded 4D chaotic system , 2013, Neural Computing and Applications.
[60] Deenan Pillay,et al. Evidence for Reduced Drug Susceptibility without Emergence of Major Protease Mutations following Protease Inhibitor Monotherapy Failure in the SARA Trial , 2015, PloS one.
[61] Viet-Thanh Pham,et al. Three-Dimensional Chaotic Autonomous System with a Circular Equilibrium: Analysis, Circuit Implementation and Its Fractional-Order Form , 2016, Circuits Syst. Signal Process..
[62] Viet-Thanh Pham,et al. A Chaotic System with Different Shapes of Equilibria , 2016, Int. J. Bifurc. Chaos.
[63] Jacques Kengne,et al. On the Dynamics of Chua’s oscillator with a smooth cubic nonlinearity: occurrence of multiple attractors , 2017 .
[64] Tomas Gotthans,et al. New class of chaotic systems with circular equilibrium , 2015 .
[65] Qigui Yang,et al. A new Lorenz-type hyperchaotic system with a curve of equilibria , 2015, Math. Comput. Simul..