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On the Malkin bifurcation theorem about periodic solutions of? periodic differential equations
时间  Datetime
2019-09-12 09:30 — 10:30 
地点  Venue
Large Conference Room(706)
报告人  Speaker
Adriana Buica
单位  Affiliation
Babe?-Bolyai University
邀请人  Host
张祥
报告摘要  Abstract

In the first part of this talk we present a joint work with Armengol Gasull (UAB, Spain). The results assure the existence of many periodic solutions for a second order cubic periodic equation. The tools used are the  Malkin bifurcation theorem and the Fonda-Sabatini-Zanolin theorem. The latter assures the existence of periodic solutions for systems with a Hamiltonian structure (in dimension 2), without a bifurcation function or a nondegeneracy condition. In the second part of the talk we present a generalization of the nondegeneracy condition that appears in the Malkin bifurcation theorem.