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<p>We establish the existence of intermittent two-point dynamics and infinite stationary measures for a class of random circle endomorphisms with zero Lyapunov exponent, as a dynamical characterisation of the transition from synchronisation (negative Lyapunov exponent) to chaos (positive Lyapunov exponent).</p>

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Intermittent Two-Point Dynamics at the Transition to Chaos for Random Circle Endomorphisms

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月4日

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  • V. P. H. Goverse,
  • A. J. Homburg,
  • J. S. W. Lamb

摘要

We establish the existence of intermittent two-point dynamics and infinite stationary measures for a class of random circle endomorphisms with zero Lyapunov exponent, as a dynamical characterisation of the transition from synchronisation (negative Lyapunov exponent) to chaos (positive Lyapunov exponent).