Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal

DOI10.1016/S0167-2789(97)00070-5zbMath0925.58067OpenAlexW2022380886MaRDI QIDQ1373369

Mario A. Natiello, Martín G. Zimmermann, Hernán Gustavo Solari

Publication date: 18 November 1997

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00070-5

zbMATH Keywords

numerical resultstheoretical resultsHopf saddle node bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Lasers, masers, optical bistability, nonlinear optics (78A60) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

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• Attractors in a Šil'nikov-Hopf scenario and a related one-dimensional map
• Shilnikov-Hopf bifurcation
• Local birth of homoclinic chaos
• Šil'nikov-Hopf bifurcations
• Subordinate Šil'nikov bifurcations near some singularities of vector fields having low codimension
• Homoclinic Bifurcations with Nonhyperbolic Equilibria
• The Saddle-Node Separatrix-Loop Bifurcation
• Introduction to Applied Nonlinear Dynamical Systems and Chaos

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