Multiple attractors and robust synchronization of a chaotic system with no equilibrium
作者： Yan Xu , Mei Zhang , Chun-Lai Li
DOI: 10.1016/J.IJLEO.2015.10.229
关键词: Control theory 、 Synchronization (computer science) 、 Computer science 、 Synchronization of chaos 、 Stability theory 、 Equilibrium point 、 Attractor 、 Chaotic 、 Initial value problem 、 Complex dynamics 、 Synchronization
摘要: Abstract This paper introduces a three-dimensional system with no equilibrium point in which the Shilnikov method is not applicable to demonstrate chaos. The remarkable particularity of that it can generate multiple attractors different parameters and initial values. To further understand complex dynamics, some basic properties are studied theoretically numerically. Simultaneously, by considering sensibility parameter value, robust synchronization scheme this chaotic proposed. Sufficient conditions guarantee given sense H∞ stability theory, numerical simulations performed verify effectiveness.
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