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| DEGENERATED HOMOCLINIC BIFURCATIONS WITH HIGHER DIMENSIONS |
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Citation： |
JIN Yinlai,ZHU Deming.DEGENERATED HOMOCLINIC BIFURCATIONS WITH HIGHER DIMENSIONS[J].Chinese Annals of Mathematics B,2000,21(2):201~210 |
| Page view： 1237
Net amount： 656 |
Authors： |
JIN Yinlai; ZHU Deming |
Foundation： |
Project supported by the National Natural Science Foundation of China (No. 19771037). |
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| Abstract： |
The degenerated homoclinic bifurcation for high dimensional system
is considered. The existence, uniqueness, and incoexistence of the
$1$-homclinic orbit and $1$-periodic orbit near $\Gamma$ are studied
under the nonresonant condition. Complicated bifurcation pattern is
described under the resonant condition. |
Keywords： |
Local coordinates, Poincare map, Homoclinic orbit, Periodic orbit,
2-fold periodic orbit, Resonant condition |
Classification： |
58F14, 58F22 |
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