同宿轨道
混乱的
吸引子
混沌(操作系统)
混沌控制
倍周期分岔
平衡点
简单(哲学)
数学
混沌同步
点(几何)
计算机科学
应用数学
分叉
统计物理学
控制理论(社会学)
数学分析
非线性系统
物理
几何学
人工智能
微分方程
哲学
计算机安全
控制(管理)
认识论
量子力学
作者
Tianshou Zhou,Guanrong Chen,Qigui Yang
标识
DOI:10.1016/s0960-0779(03)00251-0
摘要
Based on the S̆ilnikov criterion, a simple quadratic chaotic system is constructed, which has a single equilibrium point. The formation mechanism shows that this chaotic system has Smale horseshoes (homoclinic chaos), and numerical simulation demonstrates that there is a route to chaos through period-doubling bifurcations. In particular, the method of finding chaotic systems can be used to construct rather arbitrary chaotic attractors of even number of scrolls and arbitrary odd number of scrolls.
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