Periodically Perturbed Bifurcation—1. Simple Bifurcation

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1980 United States English Publisher:WileyJournal:Studies in Applied Mathematics, volume 63, pages 1-23 (issn: 0022-2526, eissn: 1467-9590,

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Authors: Rosenblat, S.; Cohen, Donald S.;

doi: 10.1002/sapm19806311

Periodically Perturbed Bifurcation—1. Simple Bifurcation

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Abstract

We consider the effect of a periodic perturbation on the bifurcation behavior of a system of differential equations. It is shown that constant solutions are modified into periodic solutions, and that the perturbations leads to the separation of solution branches. Under certain conditions the system may have no solution in the neighborhood of the bifurcation point.

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United States

Related Organizations

University of Melbourne
Australia
California Institute of Technology
United States

Keywords

330, 510

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