Pitchfork and transcritical bifurcations in systems with homogeneous nonlinearities and an almost periodic time coefficient

P.E. Kloeden

doi:10.3934/cpaa.2004.3.161

Article Contents

2004, Volume 3, Issue 2: 161-173. Doi: 10.3934/cpaa.2004.3.161

This issue Previous Article Next Article Multiple positive periodic solutions for a delay host macroparasite model

Pitchfork and transcritical bifurcations in systems with homogeneous nonlinearities and an almost periodic time coefficient

P.E. Kloeden^1,

1.
FB Mathematik, Johann Wolfgang Goethe Universität, Postfach 11 19 32, D-60054 Frankfurt a.M.

Received: March 2003

Revised: December 2003

Published: June 2004

Abstract Related Papers Cited by

Abstract

The zero solution of a vector valued differential equation with an autonomous linear part and a homogeneous nonlinearity multiplied by an almost periodic function is shown to undergo pitchfork or transcritical bifurcations to small nontrivial almost periodic soutions as a leading simple real eigenvalue of the linear part crosses the imaginary axis.

Keywords:

Mathematics Subject Classification: 34C23, 34C27, 37G10.

Citation:

Article Metrics

HTML views() PDF downloads(109) Cited by(0)

Pitchfork and transcritical bifurcations in systems with homogeneous nonlinearities and an almost periodic time coefficient

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Pitchfork and transcritical bifurcations in systems with homogeneous nonlinearities and an almost periodic time coefficient

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content