Dynamical Systems And Attractors

Dynamical systems are a hot research field of contemporary mathematics. Dy-namic system's research may date from the calculus which is discovered by Newton and Leibniz.In Newton's system, the parameter differential equations with time occu-pied a dominant position.Attractor's research is emerged in recent years,that describes movement restraining type and exists in the phase plane.This article mainly narrated the dynamic system's concept,and attractor theory as well as the application in reality and in mathematics.In the article, I explain saddle point,node point,center and focal point and also give the graph demonstration. I prove the existence and uniqueness of differential equation solution.The lemma and theorem of attractor theory are also proved. At last,I prove this problem one children must have a piece of upward hair who has two acupuncture points.Finally by this question,I guess If the system has two stable singular points, then it also has another singular point.