Xiao-Song Yang

Int. J. Bifurc. Chaos, July, 2024

A Geometric Theory for Binary Classification of Finite Datasets by DNNs with Relu Activations.

[BibT_eX]

[DOI]

Neural Process. Lett., June, 2024

Learning Topological Horseshoe via Deep Neural Networks.

[BibT_eX]

[DOI]

Junfeng Cheng

Int. J. Bifurc. Chaos, March, 2024

2023

Existence, Number and Stability of Periodic Orbits Induced by Homoclinic Loops in Three-Dimensional Piecewise Linear Systems with an Admissible Saddle-Focus.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, June, 2023

Existence of Four-Intersection-Point Limit Cycles with Only Saddles Separated by Two Parallel Straight Lines in Planar Piecewise Linear Systems.

[BibT_eX]

[DOI]

Xiao-Juan Liu

Int. J. Bifurc. Chaos, May, 2023

2022

Complicated Boundaries of the Attraction Basin in a Class of Three-Dimensional Polynomial Systems.

[BibT_eX]

[DOI]

Weisheng Huang

Yuhong Zhang

Int. J. Bifurc. Chaos, December, 2022

2021

An Economy Can Have a Lorenz-Type Chaotic Attractor.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2021

Chaos in the Periodically Parametrically Excited Lorenz System.

[BibT_eX]

[DOI]

Weisheng Huang

Int. J. Bifurc. Chaos, 2021

Periodic sinks and periodic saddle orbits induced by heteroclinic bifurcation in three-dimensional piecewise linear systems with two zones.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2021

2019

Period-Increasing Indicates Loss of Stability.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2019

Limit Cycles in a Family of Planar Piecewise Linear Differential Systems with a Nonregular Separation Line.

[BibT_eX]

[DOI]

Song-Mei Huan

Int. J. Bifurc. Chaos, 2019

2018

Chaotic Dynamics in Four-Dimensional Piecewise Affine Systems with Bifocal Heteroclinic Cycles.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2018

Existence of Homoclinic Cycles and Periodic Orbits in a Class of Three-Dimensional Piecewise Affine Systems.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2018

2017

The Coexistence of Invariant Tori and Topological Horseshoe in a Generalized Nosé-Hoover Oscillator.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2017

2016

A Note on Phase Coherence of Chaotic Sets.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2016

Construction of a Class of Four-Dimensional Piecewise Affine Systems with Homoclinic Orbits.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2016

Designing Chaotic Systems by Piecewise Affine Systems.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2016

On the Number of Invariant Cones and Existence of Periodic Orbits in 3-dim Discontinuous Piecewise Linear Systems.

[BibT_eX]

[DOI]

Song-Mei Huan

Int. J. Bifurc. Chaos, 2016

2014

Horseshoe Chaos in a Simple Memristive Circuit.

[BibT_eX]

[DOI]

J. Appl. Math., 2014

Existence of Chaotic Invariant Set in a Class of 4-Dimensional Piecewise Linear Dynamical Systems.

[BibT_eX]

[DOI]

Song-Mei Huan

Int. J. Bifurc. Chaos, 2014

Hyperchaotic set in continuous chaos-hyperchaos transition.

[BibT_eX]

[DOI]

Song Tang

Commun. Nonlinear Sci. Numer. Simul., 2014

2013

Contraction analysis of synchronization of complex switched networks with different inner coupling matrices.

[BibT_eX]

[DOI]

Shidong Zhai

J. Frankl. Inst., 2013

Exponential stability of time-delay feedback switched systems in the presence of asynchronous switching.

[BibT_eX]

[DOI]

Shidong Zhai

J. Frankl. Inst., 2013

Stability analysis of feedback switched systems with state and switching delays.

[BibT_eX]

[DOI]

Shidong Zhai

IMA J. Math. Control. Inf., 2013

Horseshoes in a Chaotic System with only One Stable equilibrium.

[BibT_eX]

[DOI]

Songmei Huan

Int. J. Bifurc. Chaos, 2013

2012

Two Kinds of Horseshoes in a hyperchaotic Neural Network.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2012

2011

Hyperchaos in a Spacecraft Power System.

[BibT_eX]

[DOI]

Shu Chen

Int. J. Bifurc. Chaos, 2011

2010

A Simple Method for Finding Topological Horseshoes.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2010

On index sum of continuous time neural network.

[BibT_eX]

[DOI]

Tundong Liu

Proceedings of the Sixth International Conference on Natural Computation, 2010

2009

Topological Horseshoes and Computer Assisted Verification of Chaotic Dynamics.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2009

Computer-assisted verification of chaos in the model of nuclear spin generator.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2009

Horseshoe chaos and topological entropy estimate in a simple power system.

[BibT_eX]

[DOI]

Shijie Cheng

Appl. Math. Comput., 2009

2008

Existence and global exponential stability of periodic solutions of recurrent cellular neural networks with impulses and delays.

[BibT_eX]

[DOI]

Zhanji Gui

Weigao Ge

Math. Comput. Simul., 2008

Hyperchaos from two coupled Wien-bridge oscillators.

[BibT_eX]

[DOI]

Int. J. Circuit Theory Appl., 2008

Computer Assisted Verification of Chaos in the Smooth Chua's equation.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2008

Emergent Chaos Synchronization in Nonchaotic CNNs.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2008

3-d Cellular Neural Networks with Cyclic Connections Cannot Exhibit Chaos.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2008

2007

Estimates of the region of attraction of continuous-time cascade systems.

[BibT_eX]

[DOI]

Xiaoming Bai

Huimin Li

IMA J. Math. Control. Inf., 2007

Periodic solution for nonautonomous bidirectional associative memory neural networks with impulses.

[BibT_eX]

[DOI]

Zhanji Gui

Weigao Ge

Neurocomputing, 2007

Computer Assisted Verification of Chaos in Three-Neuron Cellular Neural Networks.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2007

A Horseshoe in a Cellular Neural Network of Four-Dimensional Autonomous Ordinary Differential Equations.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2007

Chaos in Simple Cellular Neural Networks with Connection Matrices Satisfying Dale's Rule.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2007

Chaos and Two-Tori in a New Family of 4-CNNs.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2007

What Connection Topology Prohibit Chaos in Continuous Time Networks?

[BibT_eX]

[DOI]

Lin Wang

Adv. Complex Syst., 2007

Horseshoe Dynamics in a Small Hyperchaotic Neural Network.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Networks, 2007

2006

Hyperchaos and bifurcation in a new class of four-dimensional Hopfield neural networks.

[BibT_eX]

[DOI]

Neurocomputing, 2006

Horseshoe Chaos in Cellular Neural Networks.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2006

Chaos and Hyperchaos in a Class of Simple Cellular Neural Networks Modeled by O.D.E.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2006

A New Class of Chaotic Simple Three-Neuron Cellular Neural Networks.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2006

Hyperchaos in a Simple CNN.

[BibT_eX]

[DOI]

Fangyan Yang

Int. J. Bifurc. Chaos, 2006

Hyperchaos in a New Family of Simple CNNs.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2006

Stability and Existence of Periodic Solutions of Periodic Cellular Neural Networks with Time-Vary Delays.

[BibT_eX]

[DOI]

Zhanji Gui

Comput. Math. Appl., 2006

Emergent Periodic Behavior in Coupled Chaotic Systems.

[BibT_eX]

[DOI]

Adv. Complex Syst., 2006

Chaos and Bifurcation in a New Class of Simple Hopfield Neural Network.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Networks - ISNN 2006, Third International Symposium on Neural Networks, Chengdu, China, May 28, 2006

2005

Existence of unbounded solutions of time varying systems and failure of global asymptotic stability in discrete-time cascade systems.

[BibT_eX]

[DOI]

IMA J. Math. Control. Inf., 2005

Chaos and transient chaos in simple Hopfield neural networks.

[BibT_eX]

[DOI]

Neurocomputing, 2005

Hyperchaos in Hopfield-type neural networks.

[BibT_eX]

[DOI]

Fangyan Yang

Neurocomputing, 2005

Horseshoes in a New Switching Circuit via Wien-Bridge oscillator.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2005

On Entropy of Chua's Circuits.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2005

Complex Dynamics in a Simple Hopfield-Type Neural Network.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Networks - ISNN 2005, Second International Symposium on Neural Networks, Chongqing, China, May 30, 2005

2004

Existence of Horseshoe in a Foodweb Model.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2004

2003

On the possibility of globally stabilizing invariant sets.

[BibT_eX]

[DOI]

IMA J. Math. Control. Inf., 2003

Creating new stable periodic orbit by small region feedback control.

[BibT_eX]

[DOI]

IMA J. Math. Control. Inf., 2003

A twin-star hyperchaotic attractor and its circuit implementation.

[BibT_eX]

[DOI]

Guanrong Chen

Int. J. Circuit Theory Appl., 2003

2002

Chaotic Attractor in a Simple Hybrid System.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2002

On Observability of 3D Continuous-Time Autonomous Chaotic Systems Based on Scalar Output Measurement.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2002

2001

On the existence of generalized synchronizor in unidirectionally coupled systems.

[BibT_eX]

[DOI]