Constructive proof of Lagrange stability and sufficient -- necessary conditions of Lyapunov stability for Yang-Chen chaotic system

DOI10.1016/j.amc.2017.03.033zbMath1411.34078OpenAlexW2607357886MaRDI QIDQ1738115

Guo-Peng Zhou, Guan-Rong Chen, Xiao-Xin Liao, Y. L. Fu, Qi-Gui Yang

Publication date: 29 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.03.033

zbMATH Keywords

Lyapunov stabilityLagrange stabilitybranchglobal exponential attractive setYang-Chen system

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for smooth dynamical systems (37C75)

Related Items (5)

Qualitative study of a 4D chaos financial system ⋮ Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles ⋮ Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system ⋮ On Singular Orbits and Global Exponential Attractive Set of a Lorenz-Type System ⋮ Exponential Lagrange stability for impulses in discrete-time delayed recurrent neural networks

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