Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Bifurcations and strange behavior in instability saturation by nonlinear mode coupling

Journal Article · · Phys. Rev. Lett.; (United States)
A simple model for the nonlinear saturation of an instability is studied via numerical solution of the resonant three-wave coupling equations in the case where the high-frequency wave is linearly unstable and the two lower-frequency waves are linearly damped. The solutions are shown to undergo interesting qualitative changes as the damping rate of the stable waves is increased. These changes include bifurcations to increasingly complicated periodic motions and the apparently chaotic motions, possibly indicative of the presence of a strange attractor.
Research Organization:
Laboratory of Plasma Studies, Cornell University, Ithaca, New York 14853
OSTI ID:
5658736
Journal Information:
Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 44:7; ISSN PRLTA
Country of Publication:
United States
Language:
English

Similar Records

Bifurcation and ''strange'' behavior in instability saturation by nonlinear three-wave mode coupling
Journal Article · Sun Jun 01 00:00:00 EDT 1980 · Phys. Fluids; (United States) · OSTI ID:5281460

Bifurcating, chaotic, and intermittent solutions in the rf-biased Josephson junction
Journal Article · Tue Jan 31 23:00:00 EST 1984 · Phys. Rev. B: Condens. Matter; (United States) · OSTI ID:6582332

Chaotic saddles in nonlinear modulational interactions in a plasma
Journal Article · Wed Nov 14 23:00:00 EST 2012 · Physics of Plasmas · OSTI ID:22068884