BIFURCATION OF LIMIT CYCLES FROM A DOUBLE HOMOCLINIC LOOP WITH A ROUGH SADDLE

Citation:

HAN Maoan,BI Ping.BIFURCATION OF LIMIT CYCLES FROM A DOUBLE HOMOCLINIC LOOP WITH A ROUGH SADDLE[J].Chinese Annals of Mathematics B,2004,25(2):233~242
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Authors:

HAN Maoan; BI Ping

Foundation:

Project supported by the National Natural Science Foundation of China (No.10371072) and the Ministry of Education of China (No.20010248019, No.20020248010).
Abstract: This paper concerns with the bifurcation of limit cycles from a double homoclinic loop under multiple parameter perturbations for general planar systems. The existence conditions of 4 homoclinic bifurcation curves and small and large limit cycles areespecially investigated.

Keywords:

Double homoclinic loop, Bifurcation, Limit cycle

Classification:

34C05
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