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On the symmetry-breaking bifurcation of chaotic attractors

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Abstract

A new type of crisis is shown to exist in a broad class of systems (including the Lorenz model) which leads to an anomalous band splitting or to a symmetry-breaking bifurcation of the strange attractor, depending on the actual values of the control parameters. A piecewise linear model is used to understand the mechanism of this crisis and to obtain exact results.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Eötvös University, H-1088, Budapest, Puskin u. 5-7, Hungary

    K. G. Szabó & T. Tél

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  1. K. G. Szabó
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  2. T. Tél
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Szabó, K.G., Tél, T. On the symmetry-breaking bifurcation of chaotic attractors. J Stat Phys 54, 925–948 (1989). https://doi.org/10.1007/BF01019782

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