Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop | Zendy

Junning Cai | Zendy; Minzhi Wei | Zendy; Guoping Pang | Zendy

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Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop

Author(s) -

Junning Cai,

Minzhi Wei,

Guoping Pang

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/6625657

Subject(s) - annulus (botany) , mathematics , saddle , heteroclinic cycle , upper and lower bounds , algebraic number , limit (mathematics) , loop (graph theory) , nilpotent , zero (linguistics) , pure mathematics , mathematical analysis , combinatorics , physics , bifurcation , homoclinic orbit , quantum mechanics , mathematical optimization , linguistics , philosophy , botany , nonlinear system , biology

In the presented paper, the Abelian integral I h of a Liénard system is investigated, with a heteroclinic loop passing through a nilpotent saddle. By using a new algebraic criterion, we try to find the least upper bound of the number of limit cycles bifurcating from periodic annulus.

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