二次自治系统的焦点量及其应用举例

The Quantities of Focus of the Quadratic Autonomous Systems and its Application Examples

摘要: 以Mathematica软件为工具,计算出两类以(0,0)为平衡点的二次自治系统在(0,0)处的前两个焦点量,进而计算出一般的二次自治系统在其平衡点(x0,y0)处的前两个焦点量,并且结合相应例子给出具体分析

Abstract: The first two focal point quantities of two kinds of plane quadratic autonomous systems at the equilibrium of(0,0) and the general plane quadratic autonomous system at the equilibrium of(x0,y0) are caculated by the Mathematica software