Period-One Oscillation in Chaotic System with Multimodal Mapping

Yun Liu; Junji Ohtsubo

doi:10.1364/NLDOS.1992.FA6

Nonlinear Dynamics in Optical Systems
Technical Digest Series (Optica Publishing Group, 1992),
paper FA6
•https://doi.org/10.1364/NLDOS.1992.FA6

Period-One Oscillation in Chaotic System with Multimodal Mapping

Yun Liu and Junji Ohtsubo

Nonlinear Dynamics in Optical Systems 1992

Alpbach Austria
22–26 June 1992
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Optical Chaos and Noise (FA)

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Y. Liu and J. Ohtsubo, "Period-One Oscillation in Chaotic System with Multimodal Mapping," in Nonlinear Dynamics in Optical Systems, Technical Digest Series (Optica Publishing Group, 1992), paper FA6.

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Abstract

The behavior of chaotic system described by a differential difference equation (DDE) with a low dimensional mapping has been extensively studied.^[1,2] However, the details of the dynamic behaviors especially for a multimodal mapping have not yet been fully understood. It is clear that the usual linear stability analysis can not work for this case, since more than two equilibria exist in the dynamics of the system.

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