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UNSTABLE REGION AND BIFURCATIONS AND CHAOS IN SINGLE-MODE BISTABLE OPTICAL SYSTEMS
Author(s) -
Ma Wen-Qi,
Guojian Yang,
Gang Hu
Publication year - 1989
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.38.414
Subject(s) - bistability , instability , physics , bifurcation , optical bistability , parameter space , chaos (operating system) , mode (computer interface) , space (punctuation) , classical mechanics , stability (learning theory) , nonlinear system , statistical physics , mathematical analysis , nonlinear optics , quantum mechanics , mathematics , linguistics , philosophy , computer security , machine learning , computer science , operating system , statistics
Based on the instability criterion of semi-classical Maxwell -Bloch equations of single-mode optical systems, the global distribution of instability region is depicted in △-θ parameter space (△ detuning of the atoms, θ mistuning of the cavity). In the instability region predicted, various bifurcations and chaos are disclosed. We find that chaos may appear in both upper and lower branches of one bistable curve Moreover, a new time-dependent solution coexisting with the stable stationary solution is found.

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