地点：维格堂319
报告一：2018年11月25日（星期日）上午9:00----10:00
题目：Homoclinic Loops and Homoclinic Finger-ring
报告人：张伟年教授（四川大学威尼斯人 ）
报告二: 2018年11月25日（星期日）上午10:00---11:00
题目: Limit cycles for a class of $Z_{q}$-equivariant perturbed Hamiltonian systems
报告人：赵育林教授（中山大学威尼斯人 ）
摘要: In this paper, we study the limit cycles of a class of $Z_{p}$-equivariant perturbed Hamiltonian systems. By studying the quotient of two Abelian integrals associated to the given perturbation, we obtain at least one limit cycle bifurcated from each of period annuli. Moreover, the coexistence of these limit cycles is considered. This shows that the above system has at least $p+1$ limit cycles which improves previous results.
报告三: 2018年11月25日（星期日）上午11:00---12:00
报告题目：Melnikov Method and Heteroclinic Orbits in a Piecewise Smooth Systems.
报告人：刘兴波教授（华东师范大学数学学院）
摘要：In this talk, we consider a two –dimensional piecewise smooth system with two heteroclinic orbits connecting two hyperbolic critical point. We assume that the critical point lies on the switching manifold. We study the persistence of such a heteroclinic connection when the system is subject to a smooth non-autonomous perturbation. We use a Mel’nikov type approach and we introduce conditions which enable us to reformulate the problem in the setting of smooth systems so that we can follow the outline of the classical theory.