Published April 1981
| public
Journal Article
Periodically Perturbed Bifurcation. II. Hopf Bifurcation
- Creators
- Rosenblat, S.
- Cohen, Donald S.
Chicago
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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 periodic solutions are, in general, modified into quasiperiodic solutions. Different phenomena are encountered in resonance and near‐resonance conditions, leading in some cases to separation of solution branches and in other cases to new solution branches.
Additional Information
© 1981 by the Massachusetts Institute of Technology. Manuscript received: 01 October 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
- Eprint ID
- 100712
- Resolver ID
- CaltechAUTHORS:20200114-091820203
- Army Research Office (ARO)
- DAAG29-78-C-0011
- NSF
- MCS78-03036
- Created
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2020-01-14Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field