四川师范大学学报（自然科学版）2011，Vol.34Issue(6)：828-831,4.DOI:10.3969/j.issn.1001-8395.2011.06.011
非线性微分系统的反射函数与周期解
Reflective Function and Periodic Solution of Nonlinear System
摘要
Abstract
The geometric property of solution for the nonlinear system playes an important role in both theory and application. By using the reflective function theory, we discuss the necessary and sufficient conditions for the existence of reflective functions satisfying the special relation of nonlinear system. By applying the results we study the geometric property of the periodic solution for the periodic nonlinear system, and set up the decision theorems of the existence of the periodic solution and stability for the nonlinear system. All these results provide some new theoretical basis and criteria for explaining the complicated law of motion of objects.关键词
非线性微分系统/反射函数/周期解Key words
nonlinear system/reflective function/periodic solution分类
数理科学引用本文复制引用
周坚,周正新..非线性微分系统的反射函数与周期解[J].四川师范大学学报（自然科学版）,2011,34(6):828-831,4.基金项目
国家自然科学基金(60774073)资助项目 （60774073）
宿迁学院自然科学基金(2011KY07)对本文给予了资助, （2011KY07）
