Degenerate Period Doubling Route to Chaos in the Casperson-Instability Simplified Model

B. Meziane

doi:10.1364/NLDOS.1990.OC519

Nonlinear Dynamics in Optical Systems
Technical Digest Series (Optica Publishing Group, 1990),
paper OC519
•https://doi.org/10.1364/NLDOS.1990.OC519

Degenerate Period Doubling Route to Chaos in the Casperson-Instability Simplified Model

B. Meziane

Nonlinear Dynamics in Optical Systems 1990

Afton, Oklahoma United States
4–8 June 1990
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Optical Chaos (OC)

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B. Meziane, "Degenerate Period Doubling Route to Chaos in the Casperson-Instability Simplified Model," in Nonlinear Dynamics in Optical Systems, Technical Digest Series (Optica Publishing Group, 1990), paper OC519.

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Abstract

A low-dimensional model of the "Casperson Instability" showing regular self-pulsing behavior in the 4D space is presented. The projection on to the 3D subspace exhibits period doubling bifurcations to chaos with increasing the level of excitation.

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