摘要
Rossler系统是只含有一个非线性项的表现出奇异吸引子的动力系统,利用定性理论和分支定理,在不动点的存在性和稳定性以及存在的分支现象方面,对连续的Rossler系统进行了系统的分析讨论.给出理论分析结果后,对系统进行数值模拟,画出分支图和相图来验证理论结果.
Rossler system is a dynamical system which has only one nonlinear term and has strange attractor.Using equilibrium theory and bifurcation theorem,we study the existence of equilibrium,stability analysis for equilibrium and bifurcation in the Rossler system.Then,the results of numerical simulations including phase diagrams and bifurcation diagrams are presented to verify the theoretical analysis.
出处
《河南科学》
2012年第10期1403-1406,共4页
Henan Science
基金
国家自然科学基金资助项目(10971009)
关键词
非线性
不动点
分支
混沌
nonlinear
equilibrium
bifurcation
chaos
