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Influence of additive noise on transitions in nonlinear systems

  • The effect of additive noise on transitions in nonlinear systems far from equilibrium is studied. It is shown that additive noise in itself can induce a hidden phase transition, which is similar to the transition induced by multiplicative noise in a nonlinear oscillator [P. Landa and A. Zaikin, Phys. Rev. E 54, 3535 (1996)]. Investigation of different nonlinear models that demonstrate phase transitions induced by multiplicative noise shows that the influence of additive noise upon such phase transitions can be crucial: additive noise can either blur such a transition or stabilize noise-induced oscillations.

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Metadaten
Author:Polina S. Landa, Alexei A. Zaikin, V. G. Ushakov, Jürgen KurthsORCiDGND
URL:http://link.aps.org/abstract/PRE/v61/p4809
Document Type:Article
Language:English
Year of first Publication:2000
Year of Completion:2000
Release Date:2017/03/24
Source:Physical review / E. - 61 (2000), 5, S. 4809 - 4820
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Institution name at the time of publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik