Four-Wing Hidden Attractors with One Stable Equilibrium Point

Although multiwing hidden attractor chaotic systems have attracted a lot of interest, the currently reported multiwing hidden attractor chaotic systems are either with no equilibrium point or with ...

[1]  Ling Zhou,et al.  The Design and Realization of a Hyper-Chaotic Circuit Based on a Flux-Controlled Memristor with Linear Memductance , 2018, J. Circuits Syst. Comput..

[2]  Sen Zhang,et al.  A Novel Four-Dimensional No-Equilibrium Hyper-Chaotic System With Grid Multiwing Hyper-Chaotic Hidden Attractors , 2018, Journal of Computational and Nonlinear Dynamics.

[3]  Chunhua Wang,et al.  Multi-piecewise quadratic nonlinearity memristor and its 2N-scroll and 2N + 1-scroll chaotic attractors system. , 2017, Chaos.

[4]  Xiyin Liang,et al.  Mechanism and Energy Cycling of the Qi Four-Wing Chaotic System , 2017, Int. J. Bifurc. Chaos.

[5]  Chunbiao Li,et al.  Multiple coexisting attractors of the serial–parallel memristor-based chaotic system and its adaptive generalized synchronization , 2018, Nonlinear Dynamics.

[6]  Xinghuo Yu,et al.  Design and Implementation of Grid Multiwing Butterfly Chaotic Attractors From a Piecewise Lorenz System , 2010, IEEE Transactions on Circuits and Systems II: Express Briefs.

[7]  Bocheng Bao,et al.  Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons , 2019, Nonlinear Dynamics.

[8]  Lili Zhou,et al.  Generating hyperchaotic multi-wing attractor in a 4D memristive circuit , 2016, Nonlinear Dynamics.

[9]  Guoyuan Qi,et al.  Modelings and mechanism analysis underlying both the 4D Euler equations and Hamiltonian conservative chaotic systems , 2018, Nonlinear Dynamics.

[10]  Jinde Cao,et al.  Hybrid multisynchronization of coupled multistable memristive neural networks with time delays , 2019, Neurocomputing.

[11]  Ling Zhou,et al.  Generating Four-Wing Hyperchaotic Attractor and Two-Wing, Three-Wing, and Four-Wing Chaotic Attractors in 4D Memristive System , 2017, Int. J. Bifurc. Chaos.

[12]  Guanrong Chen,et al.  Conditional symmetry: bond for attractor growing , 2018, Nonlinear Dynamics.

[13]  G. Leonov,et al.  Localization of hidden Chuaʼs attractors , 2011 .

[14]  Wei Zhang,et al.  Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo. , 2017, Chaos.

[15]  Jie Jin,et al.  Fully Integrated Memristor and Its Application on the Scroll-Controllable Hyperchaotic System , 2019, Complex..

[16]  Sen Zhang,et al.  Generating one to four-wing hidden attractors in a novel 4D no-equilibrium chaotic system with extreme multistability. , 2018, Chaos.

[17]  Guanrong Chen,et al.  Design and Implementation of Multi-Wing Butterfly Chaotic attractors via Lorenz-Type Systems , 2010, Int. J. Bifurc. Chaos.

[18]  Nikolay V. Kuznetsov,et al.  Looking More Closely at the Rabinovich-Fabrikant System , 2015, Int. J. Bifurc. Chaos.

[19]  Chunhua Wang,et al.  A Novel Multi-Attractor Period Multi-Scroll Chaotic Integrated Circuit Based on CMOS Wide Adjustable CCCII , 2019, IEEE Access.

[20]  Chunhua Wang,et al.  Multiscroll Hyperchaotic System with Hidden Attractors and Its Circuit Implementation , 2019, Int. J. Bifurc. Chaos.

[21]  Julien Clinton Sprott,et al.  Offset Boosting for Breeding Conditional Symmetry , 2018, Int. J. Bifurc. Chaos.

[22]  Guanrong Chen,et al.  A New Chaotic System and its Generation , 2003, Int. J. Bifurc. Chaos.

[23]  Ling Zhou,et al.  A novel no‐equilibrium hyperchaotic multi‐wing system via introducing memristor , 2018, Int. J. Circuit Theory Appl..

[24]  GUANRONG CHEN,et al.  Four-Wing attractors: from Pseudo to Real , 2006, Int. J. Bifurc. Chaos.

[25]  Xinghuo Yu,et al.  Generating Grid Multiwing Chaotic Attractors by Constructing Heteroclinic Loops Into Switching Systems , 2011, IEEE Transactions on Circuits and Systems II: Express Briefs.

[26]  Ahmed S. Elwakil,et al.  A Four-Wing Butterfly Attractor from a Fully Autonomous System , 2003, Int. J. Bifurc. Chaos.

[27]  Ling Zhou,et al.  A Memristive Hyperchaotic Multiscroll Jerk System with Controllable Scroll Numbers , 2017, Int. J. Bifurc. Chaos.

[28]  Nikolay V. Kuznetsov,et al.  Analytical-numerical method for attractor localization of generalized Chua's system , 2010, PSYCO.

[29]  Daizhan Cheng,et al.  A New Chaotic System and Beyond: the Generalized Lorenz-like System , 2004, Int. J. Bifurc. Chaos.

[30]  Guoyuan Qi,et al.  Modeling of a Chaotic Gyrostat System and Mechanism Analysis of Dynamics Using Force and Energy , 2019, Complex..

[31]  Jie Jin,et al.  Programmable multi-direction fully integrated chaotic oscillator , 2018, Microelectron. J..

[32]  Zhouchao Wei,et al.  Hidden Hyperchaotic Attractors in a Modified Lorenz-Stenflo System with Only One Stable Equilibrium , 2014, Int. J. Bifurc. Chaos.

[33]  E. Lorenz.  Deterministic nonperiodic flow , 1963 .

[34]  Viet-Thanh Pham,et al.  Is that Really Hidden? The Presence of Complex Fixed-Points in Chaotic Flows with No Equilibria , 2014, Int. J. Bifurc. Chaos.

[35]  Guanrong Chen,et al.  Doubling the coexisting attractors. , 2019, Chaos.

[36]  GUANRONG CHEN,et al.  Can a Three-Dimensional Smooth Autonomous Quadratic Chaotic System Generate a Single Four-scroll Attractor? , 2004, Int. J. Bifurc. Chaos.

[37]  O. Rössler.  An equation for continuous chaos , 1976 .

[38]  Julien Clinton Sprott,et al.  Simple Chaotic flows with One Stable equilibrium , 2013, Int. J. Bifurc. Chaos.

[39]  Julien Clinton Sprott,et al.  Simple chaotic flows with a line equilibrium , 2013 .

[40]  Ling Zhou,et al.  Various Attractors, Coexisting Attractors and Antimonotonicity in a Simple Fourth-Order Memristive Twin-T Oscillator , 2018, Int. J. Bifurc. Chaos.

[41]  Chunhua Wang,et al.  Influences of electromagnetic radiation distribution on chaotic dynamics of a neural network , 2020, Appl. Math. Comput..

[42]  Sara Dadras,et al.  Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form , 2012 .

[43]  Guanrong Chen,et al.  YET ANOTHER CHAOTIC ATTRACTOR , 1999 .

[44]  Nan Yu,et al.  3D Grid Multi-Wing Chaotic Attractors , 2018, Int. J. Bifurc. Chaos.

[45]  Chunhua Wang,et al.  A Novel Color Image Encryption Algorithm Based on Hyperchaotic System and Permutation-Diffusion Architecture , 2019, Int. J. Bifurc. Chaos.

[46]  Guanrong Chen,et al.  A chaotic system with only one stable equilibrium , 2011, 1101.4067.

[47]  Chunhua Wang,et al.  A novel image encryption scheme based on conservative hyperchaotic system and closed-loop diffusion between blocks , 2020, Signal Process..

[48]  Zenghui Wang,et al.  Hidden and self-excited coexisting attractors in a Lorenz-like system with two equilibrium points , 2018, Nonlinear Dynamics.

[49]  Guanrong Chen,et al.  An Unusual 3D Autonomous Quadratic Chaotic System with Two Stable Node-Foci , 2010, Int. J. Bifurc. Chaos.