Polynomial expansion of the potential of Fokker-Planck equations with a noninvertible diffusion matrix
- 1 November 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 40 (10) , 5966-5978
- https://doi.org/10.1103/physreva.40.5966
Abstract
The potential of Fokker-Planck equations with a noninvertible diffusion matrix is calculated by systematically employing a polynomial-expansion approach. About Hopf bifurcation and degenerate Hopf bifurcation points the concrete form of the potential is specified. The analysis is extended to general Fokker-Planck equations, which include Fokker-Planck equations with both invertible and noninvertible diffusion matrices.Keywords
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