BIFURCATION STRUCTURES IN A MODEL OF A CO2 LASER WITH A FAST SATURABLE ABSORBER

DOI10.1142/S021812741102843XzbMath1208.34067OpenAlexW2023008920MaRDI QIDQ3086323

Carlos L. Pando L., Bart E. Oldeman, Eusebius J. Doedel

Publication date: 30 March 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741102843x

zbMATH Keywords

numerical continuationtransition to chaosbifurcation analysislasers

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) 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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Cites Work

• Accumulating regions of winding periodic orbits in optically driven lasers
• Homoclinic bifurcation at resonant eigenvalues
• Local birth of homoclinic chaos
• CONTINUATION OF CONNECTING ORBITS IN 3D-ODEs (II) : CYCLE-TO-CYCLE CONNECTIONS
• A Lin's method approach to finding and continuing heteroclinic connections involving periodic orbits
• Numerical continuation of canard orbits in slow–fast dynamical systems
• ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
• Geometric Singular Perturbation Analysis of the Yamada Model
• Resonant homoclinic flip bifurcations

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