An improvement on Marotto's theorem and its applications to chaotification of switching systems

DOI10.1016/j.chaos.2007.06.109zbMath1197.37051OpenAlexW2058278890MaRDI QIDQ712124

Ling-li Xie, Ka-Fai Cedric Yiu, Yi Zhao

Publication date: 28 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.06.109

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

Generating chaos for a class of linear switching control systems: a hybrid approach ⋮ Chaotification for switched linear systems with controllers ⋮ Li–Yorke Chaos in Perturbed Rational Difference Equations ⋮ CRITERION OF CHAOS FOR SWITCHED LINEAR SYSTEMS WITH CONTROLLERS

Cites Work

• Switching control of linear systems for generating chaos
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• On the Marotto-Li-Chen theorem and its application to chaotification of multi-dimensional discrete dynamical systems
• Chaos of discrete dynamical systems in complete metric spaces
• On redefining a snap-back repeller
• Discrete chaos in Banach spaces
• Exact Controllability Theorems and Numerical Simulations for Some Nonlinear Differential Equations
• Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span
• ON THE MATHEMATICAL CLARIFICATION OF THE SNAP-BACK-REPELLER IN HIGH-DIMENSIONAL SYSTEMS AND CHAOS IN A DISCRETE NEURAL NETWORK MODEL
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos
• Unnamed Item

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