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一族非线性映射及其浑沌抑制
A group of nonlinear mappings and suppression of chaos
【摘要】 给出了一族非线性映射 ,研究了该耗散非线性动力学系统的长期行为 .揭示了该族非线性映射存在的两种运动行为 :确定性运动和确定性浑沌 .通过变换数值算法的途径改变局部映射 ,得到了一族抑制确定性浑沌产生的映射 .该映射不仅保持了与原有映射相同的确定性运动 ,而且消除了原映射存在的确定性浑沌 .将此方法应用到生物物种繁殖动力学中 ,可对一种生物物种的浑沌繁殖起到抑制作用
【Abstract】 A group of nonlinear mappings on dynamic systems are discussed. The deterministic motions and deterministic chaos of the nonlinear system with long time motion are discovered. The deterministic chaos of the mappings can be suppressed by transforming numerical method and part mapping. The new mappings can not only remain deterministic motions, which are the same as original ones, but also can suppress chaos. The application in biology species propagation dynamics shows that this method is effective.
【关键词】 非线性系统;
动力学;
浑沌;
映射;
数值模拟;
【Key words】 non linear systems; dynamics; chaos; mappings; numerical simulation;
【Key words】 non linear systems; dynamics; chaos; mappings; numerical simulation;
【基金】 国家自然科学基金资助项目 !(1990 2 0 0 2
- 【文献出处】 大连理工大学学报 ,Journal of Dalian University of Technology , 编辑部邮箱 ,2001年03期
- 【分类号】O313
- 【下载频次】30