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6 July 1994 Homoclinic codimension-2 points and three-level laser models
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Abstract
A description of the principal bifurcations which lead to the appearance of the Lorenz attractor is given for the 3D normal form for codimension-3 bifurcations of equilibria and periodic orbits in systems with symmetry. We pay special attention to two bifurcation points corresponding to the formation of a homoclinic butterfly of a saddle with unit saddle index and to a homoclinic butterfly with zero separatrix value.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Andrey L. Shil'nikov "Homoclinic codimension-2 points and three-level laser models", Proc. SPIE 2099, Nonlinear Dynamics in Lasers and Optical Systems, (6 July 1994); https://doi.org/10.1117/12.179641
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