Generalized reduced-order synchronization of chaotic system based on fast slide mode

• 来源期刊: 中国物理(英文版)
• 关键词: chaos generalized reduced-order synchronization fast slide controller
• 年，卷（期）: 2005,（12）
• 页码范围: 2421-2427
• 页数: 7页
• 语种: 英文

摘要

A new kind of generalized reduced-order synchronization of different chaotic systems is proposed in this paper.It is shown that dynamical evolution of third-order oscillator can be synchronized with the canonical projection of a fourth-order chaotic system generated through nonsingular states transformation from a cell neural net chaotic system.In this sense, it is said that generalized synchronization is achieved in reduced-order. The synchronization discussed here expands the scope of reduced-order synchronization studied in relevant literatures. In this way, we can achieve generalized reduced-order synchronization between many famous chaotic systems such as the second-order D(u)ffing system and the third-order Lorenz system by designing a fast slide mode controller. Simulation results are provided to verify the operation of the designed synchronization.