Bifurcation and Chaos in the Presence of External Noise

V.S. Anishchenko; A. B. Neiman

doi:10.1364/NLDOS.1992.TuC26

Nonlinear Dynamics in Optical Systems
Technical Digest Series (Optica Publishing Group, 1992),
paper TuC26
•https://doi.org/10.1364/NLDOS.1992.TuC26

Bifurcation and Chaos in the Presence of External Noise

V.S. Anishchenko and A. B. Neiman

Nonlinear Dynamics in Optical Systems 1992

Alpbach Austria
22–26 June 1992
ISBN:

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Poster Session 2 (TuC)

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V. S. Anishchenko and A. B. Neiman, "Bifurcation and Chaos in the Presence of External Noise," in Nonlinear Dynamics in Optical Systems, Technical Digest Series (Optica Publishing Group, 1992), paper TuC26.

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Abstract

The present work investigates the influence of external non-white noise on some bifurcations of states of equilibrium, period-doubling bifurcation and on the dynamical chaos regimes. Lorenz system [1] and Anishchenko–Astakhov oscillator [2] are used as models. The peculiarities of the present investigation are in combination of numerical simulations with physical experiment and also in the use of cumulant analysis.

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