Stochastic resonance in the Brusselator model

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 4, 2000, Pages 4603-4605

  Osipov, V V ^a   Ponizovskaya, E V ^a  

^a Federal State Unitary Enterprise   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; HOPF BIFURCATION; MAGNETIC RESONANCE; STOCHASTIC MODELS;

BRUSSELATORS; NOISE INTENSITIES; PERIODIC SIGNAL; QUASI-PERIODIC; STOCHASTIC OSCILLATIONS; STOCHASTIC RESONANCES;

STOCHASTIC SYSTEMS;

EID: 0008864928     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.4603     Document Type: Article

References (22)

1. L. Gammaitoni, P. Hanggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
2. M.I. Dykman, D.G. Luchinsky, R. Mannella, P.V.E. McClintock, N.D. Stein, and N.G. Stocks, Nuovo Cimento D 18, 661 (1995).
3. V.S. Anischenko, A.B. Neiman, F. Moss, and L. Schimansky-Geier, Usp. Fiz. Nauk 179, 7(1999) [Sov. Phys. Usp. 179, 7 (1999)].
4. K. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995)
5. L. Gammaitoni, Phys. Rev. E 52, 4691 (1995).
6. A. Longtin, Phys. Rev. E 55, 868 (1997).
7. W. Horsthemke and R. Lefever, Noise-Induced Phase Transitions (Springer, Berlin, 1984).
8. G. Nicolis and I. Prigogine, Self-Organization in Nonequilibrium Systems (Wiley, New York, 1977).
9. W. Ebeling, Strukturbildung Bei Irreversiblen Prozessen (Teunber, Leipzig, 1976);A. Engel, W. Ebeling, R. Feistel, and L. Schimansky-Geier, Self-organization by Nonlinear Irreversible Processes, edited by W. Ebeling and H. Ulbricht (Springer, Berlin, 1986).
10. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
11. B.S. Kerner and V.V. Osipov, Autosolitons (Kluwer, Dordrecht, 1994)
12. B.S. KernerV.V. Osipov Usp. Fiz. Nauk 157, 201 (1989) [Sov. Phys. Usp.32, 101 (1989)].
13. N.N. Bogoliubov and Y.A. Mitropolsky, Asymptotic Methods in the Theory of Non-Linear Oscillations (Gordon and Breach, New York, 1961).
14. V.V. Osipov and E.V. Ponizovskaya, J. Commun. Technol. Electron. 43, 198 (1998)
15. J. Commun. Technol. Electron.V.V. OsipovE.V. Ponizovskaya43, 682 (1998).
16. I.A. Lubashevski, C.B. Muratov, and V.V. Osipov, Physica D (to be published).
17. S.M. Baer and T. Erneux, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 46, 721 (1986)
18. SIAM (Soc. Ind. Appl. Math.) J. Appl. Math.S.M. BaerT. Erneux52, 1751 (1992).
19. V.V. Osipov and E.V. Ponizovskaya, Pis’ma Zh. Éksp. Teor. Fiz. 70, 422 (1999) [JETP Lett. 70, 422 (1999)].
20. V.V. Osipov and E.V. Ponizovskaya, Phys. Lett. A 238, 369 (1998).
21. F. Gierer and H. Meinhardt, Kybernetik 12, 30 (1972).
22. J.L. Hindmarsh and R.M. Rose, Proc. R. Soc. London, Ser. B 221, 87 (1984).