On subharmonics bifurcation in equations with homogeneous nonlinearities

被引：0

作者：

Krasnosel'skii, A

Pokrovskii, A

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 101447, Russia

[2] Natl Univ Ireland Univ Coll Cork, Dept Phys, Inst Nonlinear Sci, Cork, Ireland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2001年 / 7卷 / 04期

关键词：

bifurcation; subfurcation; periodic orbits; periodic solution; subharmonics; rotation of vector fields; Lienard equation; bifurcation at infinity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The bifurcation of subharmonics for resonant nonautonomous equations of the second order is studied. The set of subharmonics is defined by principal homogeneous parts of the nonlinearities provided these parts are not polynomials. Analogous statements are proved for bifurcations of p-periodic orbits of a planar dynamical system. The analysis is based on topological methods and harmonic linearization.

引用

页码：747 / 762

页数：16

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