Shear-Induced Bifurcations and Chaos in Models of Three Coupled Lasers

DOI10.1137/100817383zbMath1230.78024OpenAlexW2001134071MaRDI QIDQ3088140

Nicholas Blackbeard, Sebastian Wieczorek, Hartmut Erzgräber

Publication date: 18 August 2011

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10871/9408

zbMATH Keywords

Lyapunov exponents\(\mathbb{Z}_2\) symmetrybifurcation analysiscoupled laserscodimension threeBelyakov bifurcation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Lasers, masers, optical bistability, nonlinear optics (78A60) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

From synchronisation to persistent optical turbulence in laser arrays ⋮ A general view on double limits in differential equations ⋮ Computer-assisted proof of shear-induced chaos in stochastically perturbed Hopf systems ⋮ Generalizations of SRB measures to nonautonomous, random, and infinite dimensional systems ⋮ Chaotic threshold of a class of hybrid piecewise-smooth system by an impulsive effect via Melnikov-type function

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