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Stability and singular trajectories in a 3D chaotic system with three-scroll attractor
李先义 教授(浙江科技学院)
2018-12-21(周五) 15:00-16:00   闵行数学楼402报告厅

报告人简介:浙江科技学院教授,博导,非线性分析研究所所长,浙江省“钱江学者”特聘教授;华东师范大学本科(89)、硕士(01)、博士(03),法国里尔科技大学博士后(05-06)。主要研究方向:常微分方程与动力系统,生物数学,数学建模与仿真;主要研究兴趣:稳定性理论,分支与混沌理论。
Abstract: 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) 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 ttractors near them.
主办单位:数学科学学院、科技处