CaltechAUTHORS
Published August 1980 | Version public
Journal Article Metadata-only

Periodically Perturbed Bifurcation-1. Simple Bifurcation

Creators

  • 1. ROR icon University of Melbourne
  • 2. ROR icon California Institute of Technology

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

Identifiers

Eprint ID
100710
Resolver ID
CaltechAUTHORS:20200114-090211610

Funding

Army Research Office (ARO)
DAAG29-78-C-0011
NSF
MCS78-03036

Dates

Created
2020-01-14
Created from EPrint's datestamp field
Updated
2021-11-16
Created from EPrint's last_modified field