Existence Of Limit Cycles And Invariant Surfaces In 3D Quadratic Systems

Posted on:2015-03-31

Degree:Master

Type:Thesis

Country:China

Candidate:Y N Jiang

Full Text:PDF

GTID:2270330431468549

Subject:Applied Mathematics

Abstract/Summary:

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In this paper we use the normal form theory, averaging method and integral manifold theorem to study the existence of limit cycles in Lotka-Volterra systems and the existence of invariant tori in quadratic systems in R3.

Keywords/Search Tags:

Bifurcation, normal form theory, Lotka-Volterra system, limit cycle, invariant torus

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