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Published August 1980 | public
Journal Article

Periodically Perturbed Bifurcation-1. Simple Bifurcation

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.

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.

Additional details

Created:
August 19, 2023
Modified:
October 18, 2023