一类奇摄动系统奇异极限环的不变环面分支

Invariant Torus Bifurcations of Singular Limit Cycle for a Singularly Perturbed System

对一类奇异摄动系统中由奇异极限环产生的不变环面分支进行了研究并利用不变环面的分支理论,讨论了由快系统的二重极限环和三重环分支出的不变环面的存在性．

This paper investigates invariant torus bifurcations of singular limit cycle for a singularly perturbed system. Using the bifurcation theory of invariant tori, the authors discuss the existence of invariant tori generating from a limit cycle of multiplicity 2 in the fast dynamics and multiplicity 3 in the fast dynamics.