A model function for non-autonomous bifurcations of maps

Thorsten Hüls

doi:10.3934/dcdsb.2007.7.351

Article Contents

2007, Volume 7, Issue 2: 351-363. Doi: 10.3934/dcdsb.2007.7.351

This issue Previous Article Distributional chaos via isolating segments Next Article Sharp global existence and blowing up results for inhomogeneous Schrödinger equations

A model function for non-autonomous bifurcations of maps

Thorsten Hüls^1,

1.
Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld

Received: January 31, 2006

Revised: September 30, 2006

Published: August 2007

Abstract Related Papers Cited by

Abstract

In this paper, we introduce a class of one-dimensional non-autonomous dynamical systems that allow an explicit study of their orbits, of the associated variational equations as well as of certain types of bifurcations. In a special case, the model class can be transformed into the non-autonomous Beverton-Holt equation. We use these model functions for analyzing various notions of non-autonomous transcritical and pitchfork bifurcations that have been recently proposed in the literature.

Keywords:

Non-autonomous bifurcation theory,
Transcritical bifurcation,
Pitchfork bifurcation,
Non-autonomous discrete time dynamical systems,
Beverton-Holt equation.

Mathematics Subject Classification: Primary: 37B55, 34C23; Secondary: 70G60, 37N25.

Citation:

Article Metrics

HTML views() PDF downloads(82) Cited by(0)

A model function for non-autonomous bifurcations of maps

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

A model function for non-autonomous bifurcations of maps

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content