摘要
讨论了立方混沌系统在不同参数下的动力学性质,并进行了严格的理论证明。分别用代数和数值的方法分析了该系统由倍周期分岔通向混沌的过程,同时借助Lyapunov指数证明了混沌的存在性,并得到其临界值λ∞=2.348 917 5…。
The paper mainly discusses the dynamics properties of the cubic chaos system under different parameters,providing a rigorous theoretical reasoning.The process of the cubic chaos from period-doubling bifurcation to chaos is analyzed by algebraic and numerical methods respectively.Furthermore,the paper concludes the existence of chaos proved in the theory,and the critical value is obtained to be λ∞=2.348 917 5…with the help of the Lyapunov exponent.
出处
《桂林理工大学学报》
CAS
北大核心
2010年第2期316-320,共5页
Journal of Guilin University of Technology
基金
广西自然科学基金项目(桂科基0991244)
广西教育厅科研项目(200807MS043)
