Abstract
We have studied the stationary states of a homogeneous synergetic system in the presence of noise. In the framework of the subordination principle it is shown that, as a function of noise intensity in the system, transitions of both first and second order may be observed. The corresponding phase diagrams are presented.
Similar content being viewed by others
References
G. Khaken, Synergetics [Russian translation], Mir, Moscow (1980).
É. Lorentz, Determination of Nonperiodic Flow: Strange Attractors [Russian translation], Mir, Moscow (1981), pp. 88–116.
G. Nikolis and I. Prigozhin, Self-Organization in Nonequilibrium Systems [Russian translation], Mir, Moscow (1979).
G. Khaken, Synergetics, Hierarchy of Instabilities in Self-Organized Systems and Devices [Russian translation], Mir, Moscow (1985).
A. I. Olemskoi and V. A. Petrunin, Izv. Vuzov. Fiz., No. 1, 82–120 (1987).
A. I. Olemskoi and E. A. Toropov, Fiz. Metal. Metalloved., No. 9, 5–29 (1991).
A. I. Olemskoi and I. A. Sklyar, Usp. Fiz. Nauk,162, No. 6, 29–79 (1992) [Sov. Phys. Usp. (1992)].
V. Khorstkhemke and R. Lefevr, Transitions Induced by Noise [Russian translation], Mir, Moscow (1987).
F. T. Arrechi, Experimental Aspects of Transition Phenomena in Quantum Optics, Wiley, New York (1981).
R. Graham, in: Synergetic Cooperative Phenomena in Multi-Component Systems, Teubner, Stuttgart (1973), p. 71.
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 75–82, April, 1996.
Rights and permissions
About this article
Cite this article
Toropov, E.A., Kharchenko, D.O. Influence of noise on the nature of synergetic systems. Russ Phys J 39, 355–361 (1996). https://doi.org/10.1007/BF02068059
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02068059