Poincare' Map 之研究

Abstract

Poincare' Map是動態系統中的一個重要之主題。這個技巧對於常微分方程提供了一些利益。我們將描述 (1) Poincare' Map可將連續的系統簡化到離散的系統。 (2) 有關Poincare' Map的建造 (3) Poincare' Map關於穩定性之分析。

Poincare' Map is one of most significant topics in dynamics. The technique offers several advantages to the study the ordinary differential equations, we shall discuss (1) Poincare' Map reduces continuous system to discrete system (2) Construction of Poincare' Map (3) Stability analysis by Poincare' Map.