Homoclinic Flip Bifurcations Accompanied by Transcritical Bifurcation

• 作 者: Xingbo LIU
• 机 构: Department of Mathematics
• 出 处: 数学年刊B辑（英文版）
• 发表日期: 2004年期
• 关键词: Transcritical bifurcation Homoclinic orbit Periodic orbit Local coordinate syste

The bifurcations of orbit flip homoclinic loop with nonhyperbolic equilibria are investigated.By constructing local coordinate systems near the unperturbed honoclinic orbit,Poincaré maps for the new system are established.Then the existence of homoclinic orbit and the periodic orbit is studied for the system accompanied with transcriticalbifurcation.