Homoclinic codimension-2 points and three-level laser models

Andrey L. Shil'nikov

doi:10.1117/12.179641

6 July 1994 Homoclinic codimension-2 points and three-level laser models

Andrey L. Shil'nikov

Proceedings Volume 2099, Nonlinear Dynamics in Lasers and Optical Systems; (1994) https://doi.org/10.1117/12.179641
Event: Volga Laser Tour '93, 1993, Moscow, Russian Federation

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.

Citation Download Citation

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

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available