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. https://resolver.caltech.edu/CaltechAUTHORS:20200114-090211610
Full text is not posted in this repository. Consult Related URLs below.
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20200114-090211610
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.
| Item Type: | Article | ||||||
|---|---|---|---|---|---|---|---|
| Related URLs: |
| ||||||
| 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. | ||||||
| Funders: |
| ||||||
| Issue or Number: | 1 | ||||||
| DOI: | 10.1002/sapm19806311 | ||||||
| Record Number: | CaltechAUTHORS:20200114-090211610 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200114-090211610 | ||||||
| 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 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 14 Jan 2020 17:12 | ||||||
| Last Modified: | 16 Nov 2021 17:56 |
Repository Staff Only: item control page
