Three Types of Chaos in the Forced Nonlinear Schroedinger Equation
Journal Article
·
· Physical Review Letters
- Weizmann Institute of Science (Israel)
Three different types of chaotic behavior and instabilities (homoclinic chaos, hyperbolic resonance, and parabolic resonance) in Hamiltonian perturbations of the nonlinear Schroedinger (NLS) equation are described. The analysis is performed on a truncated model using a novel framework in which a hierarchy of bifurcations is constructed. It is demonstrated numerically that the forced NLS equation exhibits analogous types of chaotic phenomena. Thus, by adjusting the forcing frequency, the behavior near the plane wave solution may be set to any one of the three different types of chaos for any periodic box length.
- OSTI ID:
- 20775045
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 2 Vol. 96; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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