Singular trajectories, bifurcation and dynamics at infinity in a 3D chaotic system
报告题目(Title):Singular trajectories, bifurcation and dynamics at infinity in a 3D chaotic system
报告人(Speaker):李先义教授 (浙江科技学院)
地点(Place):后主楼1124
时间(Time):2019年3月15日15:00-16:00
邀请人(Inviter):袁荣
报告摘要
In this talk, after revisiting a 3D chaotic system, its more rich hidden dynamics that have not been found previously in the known literature are clearly revealed, mainly for its singular orbits ( such as singular degenerate heteroclinic cycle, heteroclinic orbit,etc),bifurcation and the dynamics at infinity. Especially, its Hopf bifurcation, zero-Hopf bifurcation and degenerate fold bifurcation, etc, at the origin, are in detail discussed. Meanwhile, numerical simulations not only support all obtained analytical results, but also further illustrate other new dynamical behaviors, including two heteroclinic orbits and their bifurcated chaotic attractors, infinite many singularly degenerate heteroclinic cycles with two-scroll and three-scroll chaotic attractors near them.
主讲人简介
李先义,浙江省“钱江学者”特聘教授,浙江科技学院“科大学者”;法国里尔科技大学博士后;现为浙江科技学院教授,博导,非线性分析研究所所长。