Global and Local Chaos in the Pumped Nonlinear Schrödinger Equation
- 13 February 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 52 (7) , 526-529
- https://doi.org/10.1103/physrevlett.52.526
Abstract
An optical ring cavity is considered in which the propagation of an envelope pulse is described by the nonlinear Schrödinger equation. This cavity is pumped by a coherent train of pulses. As the pump intensity is increased a sequence of period-doubling bifurcations is followed by an inverse sequence (chaotic band structure). The global (moment) and local (field) properties of the pulse sequences have the same dynamical behavior. Bistability and the merging of two chaotic branches have also been observed.Keywords
This publication has 11 references indexed in Scilit:
- Evidence for Power-Law Spin-Correlation Decay from Muon Spin Relaxation inSpin-GlassPhysical Review Letters, 1983
- Chaos in a Perturbed Nonlinear Schrödinger EquationPhysical Review Letters, 1983
- Observation of Bifurcation to Chaos in an All-Optical Bistable SystemPhysical Review Letters, 1983
- Instabilities and chaotic behavior in a hybrid bistable system with a short delayOptics Communications, 1983
- Study of the driven damped pendulum: Application to Josephson junctions and charge-density-wave systemsPhysical Review B, 1983
- High bit rate communication systems using non-linear effectsOptics Communications, 1982
- Experimental Observation of Picosecond Pulse Narrowing and Solitons in Optical FibersPhysical Review Letters, 1980
- Optical Turbulence: Chaotic Behavior of Transmitted Light from a Ring CavityPhysical Review Letters, 1980
- B. Initial Value Problems of One-Dimensional Self-Modulation of Nonlinear Waves in Dispersive MediaProgress of Theoretical Physics Supplement, 1974
- Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersionApplied Physics Letters, 1973