BIFURCATION THEORY INVERSE PROBLEM IN A NOISY DYNAMICAL SYSTEM. EXAMPLE SOLUTION
Cite this article as:
Zulpukarov M. М., Malinetskii G. G., Podlazov А. V. BIFURCATION THEORY INVERSE PROBLEM IN A NOISY DYNAMICAL SYSTEM. EXAMPLE SOLUTION. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 6, pp. 3-23. DOI: https://doi.org/10.18500/0869-6632-2005-13-5-3-23
Bifurcations in nonlinear systems with weak noise are considered. The local bifurcations are discussed: the saddle-node bifurcation, the transcritical bifurcation, the supercritical and subcritical pitchfork bifurcations.
Basing on the known prebifurcational noise rise and saturation phenomenon, the inverse problem is introduced: the problem of the bifurcation detection and determining it’s type by the observed noise change (noise deviation growth fashion, saturation level, probability density). The inverse problem solution algorithm is suggested.
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BibTeX
author = {M.-G. М. Zulpukarov and George G. Malinetskii and А. V Podlazov},
title = {BIFURCATION THEORY INVERSE PROBLEM IN A NOISY DYNAMICAL SYSTEM. EXAMPLE SOLUTION},
year = {2005},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {13},number = {6},
url = {https://old-andjournal.sgu.ru/en/articles/bifurcation-theory-inverse-problem-in-noisy-dynamical-system-example-solution},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2005-13-5-3-23},pages = {3--23},issn = {0869-6632},
keywords = {-},
abstract = {Bifurcations in nonlinear systems with weak noise are considered. The local bifurcations are discussed: the saddle-node bifurcation, the transcritical bifurcation, the supercritical and subcritical pitchfork bifurcations. Basing on the known prebifurcational noise rise and saturation phenomenon, the inverse problem is introduced: the problem of the bifurcation detection and determining it’s type by the observed noise change (noise deviation growth fashion, saturation level, probability density). The inverse problem solution algorithm is suggested. }}