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系列学术活动之(64)

Computation of the expansion of Melnikov functions around a homoclinic loop

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系列学术活动之(64)

题    目:

Computation of the expansion of Melnikov functions around a homoclinic loop

摘    要:

In this talk, we study homoclinic bifurcation of limit cycles in perturbed planar Hamiltonian systems. Suppose that a homoclinic loop is defined by $H = h_s$ . Our main result is that a new method is established for computing the coefficients of the expansion of Melnikov functions at $h = h_s$. Then by using those coefficients, more limit cycles would be found around homoclinic loops. An example is also provided to illustrate our method. This is a joint work with Maoan Han.


报 告 人:

田云,教授,上海师范大学

时    间:

2018121714:00

地    点:

明义-204


报告人概况:

    田云博士毕业于加拿大西安大略大学,现为上海师范大学数理学院副教授,主要从事微分方程定性理论、计算机符号计算和传染病模型等方向的研究。目前在《Journal of Differential Equations》、 《Nonlinear   Analysis: RWA》、《Communications in Nonlinear Science and Numerical Simulation》、 《International Journal of Bifurcation and Chaos》等SCI期刊发表论文近20篇,现主持国家自然科学基金项目两项,入选上海青年东方学者和上海市青年科技启明星计划。




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