Bi-instability and the global role of unstable resonant orbits in a driven laser

DOI10.1016/S0167-2789(00)00164-0zbMath0976.34038OpenAlexW2109994566MaRDI QIDQ1590016

Thomas W. Carr, Ioanna Triandaf, Ira B. Schwartz, Lora Billings

Publication date: 6 January 2002

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(00)00164-0

zbMATH Keywords

periodic orbitschaotic behaviorquadratic nonlinearitieschaotic saddlesglobal mixed-mode heteroclinic chaoslocalized homodinic chaossubharmonic Melnikov theory

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Lasers, masers, optical bistability, nonlinear optics (78A60) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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