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On bifurcation diagrams of stochastic dynamical systems

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Abstract

The topological type function for stationary probability density of stable stochastic dynamical systems is introduced. The corresponding bifurcation diagrams in the case of one dichotomic noise are derived. Examples encountered in physics and chemistry are given.

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Authors and Affiliations

  1. Institute of Mathematics, Technical University of Warsaw, Pl. Jedności Robotniczej 1, 00 661, Warsaw, Poland

    Stanisław Janeczko

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  1. Stanisław Janeczko
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The author was a visitor at the Department of Mathematics, Monash University, Australia, during part of the period when this paper was written.

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Janeczko, S. On bifurcation diagrams of stochastic dynamical systems. Lett Math Phys 16, 301–311 (1988). https://doi.org/10.1007/BF00402038

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  • DOI: https://doi.org/10.1007/BF00402038

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