Singular Hopf bifurcation to unstable periodic solutions in a NMR laser
- Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, Illinois 60208 (US)
We apply recent developments in the study of singular Hopf bifurcations to describe the complete bifurcation diagram of a simple NMR laser with an injected signal. The branch of periodic solutions appears at a Hopf bifurcation point and may or may not disappear at a homoclinic point. The bifurcation is always subcritical, which suggests that the periodic solutions are all unstable. Our asymptotic analysis is based on the relative values of the fixed parameters in the problem. Our results complement earlier investigations by Holzner {ital et} {ital al}. (Phys. Rev. A 36, 1280 (1987)) and by Baugher, Hammack, and Lin (Phys. Rev. A 39, 1549 (1989)) on the subcritical Hopf bifurcation in a NMR laser.
- OSTI ID:
- 5414021
- Journal Information:
- Physical Review (Section) A: General Physics; (USA), Journal Name: Physical Review (Section) A: General Physics; (USA) Vol. 40:5; ISSN PLRAA; ISSN 0556-2791
- Country of Publication:
- United States
- Language:
- English
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