摘要
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 Г are studied under the nonresonant condition. Complicated bifurcation pattern is described under the resonant condition.
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 Г are studied under the nonresonant condition. Complicated bifurcation pattern is described under the resonant condition.
基金
National Natural Science Foundation of China!(No. 19771037)
关键词
同宿轨
周期轨道
庞加莱映射
共振
Local coordinates, Poincare map, Homoclinic orbit, Periodic orbit, 2-fold periodic orbit, Resonant condition
