Estimating the ultimate bound and positively invariant set for a new chaotic system and its application in chaos synchronization

DOI10.1016/j.chaos.2009.04.003zbMath1198.93152OpenAlexW1998674050MaRDI QIDQ603539

Yunhong Zhao, Hongxing Xu, Yong Lu Shu

Publication date: 8 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.04.003

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical methods for ordinary differential equations (65L99) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (11)

Bounds of the Chaotic System for Couette–Taylor Flow and Its Application in Finite-Time Control ⋮ Unnamed Item ⋮ On the boundedness of solutions to the Lorenz-like family of chaotic systems ⋮ A novel bounded 4D chaotic system ⋮ Uniformly ultimately bounded tracking control of linear differential inclusions with stochastic disturbance ⋮ Ultimate bound of a 3D chaotic system and its application in chaos synchronization ⋮ New estimations for ultimate boundary and synchronization control for a disk dynamo system ⋮ New ultimate bound sets and exponential finite-time synchronization for the complex Lorenz system ⋮ Estimating the ultimate bound and positively invariant set for a synchronous motor and its application in chaos synchronization ⋮ Global Mittag-Leffler boundedness and synchronization for fractional-order chaotic systems ⋮ ON THE BOUNDNESS OF SOME SOLUTIONS OF THE LÜ SYSTEM

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