Solitons in the midst of chaos

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PhysRevA.76.043803.pdf (3.99 MB)

Links to Files

https://link.aps.org/doi/10.1103/PhysRevA.76.043803

Permanent Link

https://doi.org/10.1103/PhysRevA.76.043803
 http://hdl.handle.net/11603/38634

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UMBC Faculty Collection
UMBC Computer Science and Electrical Engineering Department
UMBC Student Collection

Author/Creator

Author/Creator ORCID

https://orcid.org/0000-0003-0269-8433

Date

2007-10-05

Type of Work

journal articles
Text

Department

Program

Citation of Original Publication

Seghete, Vlad, Curtis R. Menyuk, and Brian S. Marks. “Solitons in the Midst of Chaos.” Physical Review A 76, no. 4 (October 5, 2007): 043803. https://doi.org/10.1103/PhysRevA.76.043803.

Rights

© 2007 American Physical Society

Subjects

UMBC Optical Fiber Communications Laboratory
UMBC Computational Photonics Lab

Abstract

A system of coupled nonlinear Schrödinger equations describes pulse propagation in weakly birefringent optical fibers. Soliton solutions of this system are found numerically through the shooting method. We employ Poincaré surface of section plots—a standard dynamical systems approach—to analyze the phase space behavior of these solutions and neighboring trajectories. Chaotic behavior around the solitons is apparent and suggests dynamical instability. A Lyapunov stability analysis confirms this result. Thus, solitons exist in the midst of chaos.