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Homoclinic-Hopf interaction: an autoparametric bifurcation

Published online by Cambridge University Press:  11 July 2007

M. Fečkan  and
J. Gruendler
M. Fečkan
Affiliation:
Department of Mathematical Analysis, Comenius University, Mlynská dolina, 842 15 Bratislava, Slovakia
J. Gruendler
Affiliation:
Department of Mathematics, North Carolina A&T State University, Greensboro, NC 27411, USA
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Abstract

Bifurcation of periodic and chaotic solutions is investigated for coupled perturbed autonomous ordinary differential equations (ODEs) when the first unperturbed ODE has a homoclinic solution and the second unperturbed ODE possesses a Hopf singularity.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 5 , October 2000 , pp. 999 - 1015
Copyright
Copyright © Royal Society of Edinburgh 2000

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