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| BIFURCATIONS OF ROUGH 3-POINT-LOOP WITH HIGHER DIMENSIONS |
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Citation： |
JIN Yinlai,ZHU Deming,ZHENG Qingyu.BIFURCATIONS OF ROUGH 3-POINT-LOOP WITH HIGHER DIMENSIONS[J].Chinese Annals of Mathematics B,2003,24(1):85~96 |
| Page view： 1070
Net amount： 728 |
Authors： |
JIN Yinlai; ZHU Deming;ZHENG Qingyu |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10071022) and the
Shanghai Priority Academic Discipline. |
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| Abstract： |
The authors study the bifurcation problems of rough
heteroclinic loop connecting three saddle points for the case $\beta_1>1$,
$\beta_2>1$, $\beta_3<1$ and $\beta_1\beta_2\beta_3<1$. The existence,
number, coexistence and incoexistence of 2-point-loop, 1-homoclinic orbit
and 1-periodic orbit are studied. Meanwhile, the bifurcation surfaces
and existence regions are given. |
Keywords： |
Local coordinates, Poincare map, 1-homoclinic orbit, 1-periodic orbit, Bifurcation surface |
Classification： |
37C29, 34C23, 34C37 |
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