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Asymptotic properties of the Fokker-Planck equation near a critical point

II. Application to hopf bifurcation with two pairs of purely imaginary eigenvalues

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Zeitschrift für Physik B Condensed Matter

Abstract

A method of studying the asymptotic properties of the Fokker-Planck equation near a critical point in which two pairs of complex conjugate eigenvalues cross the imaginary axis is developed. The method consists in the construction of a non-linear coordinate transformation which transforms the drift term into a canonical form.

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Authors and Affiliations

  1. Institute of Physics, Nicholas Copernicus University, PL-87-100, Torun, Poland

    A. Kossakowski

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  1. A. Kossakowski
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Kossakowski, A. Asymptotic properties of the Fokker-Planck equation near a critical point. Z. Physik B - Condensed Matter 56, 257–266 (1984). https://doi.org/10.1007/BF01304179

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  • DOI: https://doi.org/10.1007/BF01304179

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