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Periodically Perturbed Bifurcation-1. Simple Bifurcation

Rosenblat, S. and Cohen, Donald S. (1980) Periodically Perturbed Bifurcation-1. Simple Bifurcation. Studies in Applied Mathematics, 63 (1). pp. 1-23. ISSN 0022-2526. doi:10.1002/sapm19806311.

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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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Additional Information:© 1980 by the Massachusetts Institute of Technology. Manuscript received: 02 March 1979. Supported in part by the U. S. Army Research Office (Durham) under contract DAAG29‐78‐C‐0011 and by the National Science Foundation under grant MCS78‐03036.
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Army Research Office (ARO)DAAG29-78-C-0011
Issue or Number:1
Record Number:CaltechAUTHORS:20200114-090211610
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Official Citation:Rosenblat, S. and Cohen, Donald S., (1980), Periodically Perturbed Bifurcation—1. Simple Bifurcation, Studies in Applied Mathematics, 63, doi: 10.1002/sapm19806311
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100710
Deposited By: Tony Diaz
Deposited On:14 Jan 2020 17:12
Last Modified:16 Nov 2021 17:56

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