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BIFURCATION OF LIMIT CYCLES FROM A DOUBLE HOMOCLINIC LOOP WITH A ROUGH SADDLE |
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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 |
Page view: 1334
Net amount: 914 |
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). |
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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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