Hopf bifurcation and the beam-plasma instability
Conference
·
OSTI ID:5207535
For finite mode instabilities in dissipative systems, invariant manifold methods allow the bifurcation analysis to be reduced to the locally attracting center manifold. In a kinetic model of electron plasma dynamics, these methods are applied to the one mode beam-plasma instability which occurs via Hopf bifurcation. The instability results in a nonlinear oscillation, and the amplitude equation can be solved to describe the time asymptotic state.
- Research Organization:
- Lawrence Berkeley Lab., CA (USA)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 5207535
- Report Number(s):
- LBL-17148; CONF-8307112-2; ON: DE84008243
- Country of Publication:
- United States
- Language:
- English
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