Topological localized states in the time delayed Adler model: Bifurcation analysis and interaction law

DOI10.1063/5.0002015zbMath1440.34074arXiv2001.07556OpenAlexW3103633858WikidataQ96949408 ScholiaQ96949408MaRDI QIDQ5119471

J. Javaloyes, L. Munsberg, Svetlana V. Gurevich

Publication date: 4 September 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07556

Mathematics Subject Classification ID

Lasers, masers, optical bistability, nonlinear optics (78A60) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (1)

Pulse-adding of temporal dissipative solitons: resonant homoclinic points and the orbit flip of case B with delay

Uses Software

• DDE-BIFTOOL

Cites Work

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• Spectrum and amplitude equations for scalar delay-differential equations with large delay
• The Ginzburg-Landau equation as a normal form for a second-order difference-differential equation with a large delay
• On the Lambert \(w\) function
• Bifurcation theory of functional differential equations
• Spatio-temporal phenomena in complex systems with time delays
• Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

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