THE QUASI-PERIODIC REVERSIBLE HOPF BIFURCATION-Reference-Cited by-同舟云学术

THE QUASI-PERIODIC REVERSIBLE HOPF BIFURCATION

Published:2007-08 Issue:08 Volume:17 Page:2605-2623
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

BROER HENK W.¹,CIOCCI M. CRISTINA²,HANßMANN HEINZ³

Affiliation:

1. Instituut voor Wiskunde en Informatica, Rijksuniversiteit Groningen, Blauwborgje 3, 9747 AC Groningen, The Netherlands

2. Department of Mathematics, Imperial College London, Campus South Kensington, London, SW7 2AZ, UK

3. Mathematisch Instituut, Universiteit Utrecht, Postbus 80.010, 3508 TA Utrecht, The Netherlands

Abstract

We consider the perturbed quasi-periodic dynamics of a family of reversible systems with normally 1:1 resonant invariant tori. We focus on the generic quasi-periodic reversible Hopf bifurcation and address the persistence problem for integrable quasi-periodic tori near the bifurcation point. Using KAM theory, we describe how the resulting invariant tori of maximal and lower dimensions are parameterized by Cantor sets.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812740701866X

Reference32 articles.

1. ON MATRICES DEPENDING ON PARAMETERS

2. On a quasi-periodic Hopf bifurcation

3. Poisson structure of the reversible 1:1 resonance

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