The generation of a hyperchaotic system based on a three-dimensional autonomous chaotic system

• 来源期刊: 中国物理（英文版）
• 关键词: chaos chaos generation hyperchaotic system bifurcation analysis
• 年，卷（期）: 2006,（6）
• 页码范围: 1216-1225
• 页数: 10页
• 语种: 英文

摘要

This paper reports a new four-dimensional hyperchaotic system obtained by adding a controller to a threedimensional autonomous chaotic system. The new system has two parameters, and each equation of the system has one quadratic cross-product term. Some basic properties of the new system are analysed. The different dynamic behaviours of the new system are studied when the system parameter a or b is varied. The system is hyperchaotic in several different regions of the parameter b. Especially, the two positive Lyapunov exponents are both larger, and the hyperchaotic region is also larger when this system is hyperchaotic in the case of varying a. The hyperchaotic system is analysed by