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EXISTENCE OF PERIODIC ORBITS AND INVARIANT TORI IN CODIMENSION TWO BIFURCATIONS OF THREE DIMENSIONAL SYSTEMS
三维系统余维二分支中周期轨道与不变环面的存在性

Keywords: Periodic orbit,invariant,torus,bifurcation
周期轨道
,不变环面,分支

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Abstract:

This paper is concerned with the bifurcations of periodic orbits and invariant tori of three dimensional systems of codimension two singularities under double parameter perturbations. An optimal condition for the existence of invariant tori is obtained.

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