Solitons in the midst of chaos

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dc.contributor.authorSeghete, Vlad
dc.contributor.authorMenyuk, Curtis
dc.contributor.authorMarks, Brian S.
dc.date.accessioned2025-06-05T14:02:59Z
dc.date.available2025-06-05T14:02:59Z
dc.date.issued2007-10-05
dc.description.abstractA 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.
dc.description.sponsorshipV. S. is grateful for support from UMBC. It is a pleasure to acknowledge useful discussions with Professor Jianke Yang of the University of Vermont.
dc.description.urihttps://link.aps.org/doi/10.1103/PhysRevA.76.043803
dc.format.extent8 pages
dc.genrejournal articles
dc.identifierdoi:10.13016/m2qwlp-as5t
dc.identifier.citationSeghete, 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.
dc.identifier.urihttps://doi.org/10.1103/PhysRevA.76.043803
dc.identifier.urihttp://hdl.handle.net/11603/38634
dc.language.isoen_US
dc.publisherAPS
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Computer Science and Electrical Engineering Department
dc.relation.ispartofUMBC Student Collection
dc.rights© 2007 American Physical Society
dc.subjectUMBC Optical Fiber Communications Laboratory
dc.subjectUMBC Computational Photonics Lab
dc.titleSolitons in the midst of chaos
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0003-0269-8433

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