The number of limit cycles from a smooth slow-fast Hopf bifurcation
时间  Datetime
2022-04-12 14:30 — 17:00
地点  Venue
腾讯会议APP2()
报告人  Speaker
刘长剑教授
单位  Affiliation
中山大学数学学院（珠海）
邀请人  Host
肖冬梅
备注  remarks
腾讯会议，会议号859221248
报告摘要  Abstract

Dumortier and Roussarie proposed a conjecture in their paper (2009, Discrete Con. Dyn. Sys., 2, 723-781): For　any positive integer q, q Abelian integrals over some non-algebraic curve, form a strict Chebyshev system. If this conjecture　holds, then one can obtain the precise upper bound of the number of limit cycles that appear near a slow-fast Hopf point. In　this talk we develop a

method to estimate the number of zeros of Abelian integrals and prove this conjecture. This is a joint work with Prof. Chengzhi Li.
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