Abstract
A system of three stochastic two-state resonators driven by a harmonic signal is studied. Especially, we focus on the influence of an asymmetry of the resonator on the response of the system. Both systems of symmetric and asym- metric resonators display a non monotonous dependence of the spectral output on the coupling strength. While the amplification of the signal for symmetric coupled resonators is optimized for positive coupling (attractive interaction), in the strong asymmetric case the optimal output is found for negative coupling (repelling inter- action) due to a symmetrization of the system by the coupling.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
L. Gammaitoni, P. Hanggi, P. Jung, and F. Marchesoni, “Stochastic resonance”, Rev. Mod. Phys. 70, 223 (1998)
V. Anishchenko, A. Neiman, F. Moss, L. Schimansky-Geier, “Stochastic resonance: noise-enhanced order”, Uspekhi Fizicheskikh Nauk, 42 (1999)
J. Lindner, B. Meadows, W. Ditto, M. Inchiosa, A. Bulsara, “Array enhanced stochastic resonance and spatio-temporal synchronisation”, Phys. Rev. Lett. 75, 3 (1995), “Scaling Laws for Spatio-temporal Synchronisation and Array Enhanced Stochastic Resonance”, Phys. Rev. E53, 2081 (1996).
U. Siewert and L. Schimansky-Geier, “Analytical study of coupled two state stochastic resonators”, Phys.Rev. E 58, 2843 (1998)
L. Schimansky-Geier and U. Siewert, “A Glauber-Dynamics Approach to Coupled Stochastic Resonators” In Stochastic Dynamics, L. Schimansky-Geier and Th. Poschel (eds.) Springer ( Berlin, 1997), p. 245.
B. McNamara and K. Wiesenfeld, “Theory of stochastic resonance”, Phys. Rev A 39 , 4854 (1989).
R. Rozenfeld and L. Schimansky-Geier, “Array-enhanced stochastic resonance in finite systems”, Chaos, Solitons and Fractals, (2000), 11, 1937 (2000)
H.A. Kramers, “Brownian motion in a field of force and the diffusion model of chemical reaction”, Physica 7, 284 (1940)
R. Glauber, “Time-Dependent Statistics of the Ising Model”, J. Math. Phys. 4, 294 (1963)
P. Jung, “Periodically driven stochastic systems”, Phys. Rep. 234 (1993)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Rozenfeld, R., Lindner, B. (2000). Stochastic Resonance in a System of Coupled Asymmetric Resonators. In: Freund, J.A., Pöschel, T. (eds) Stochastic Processes in Physics, Chemistry, and Biology. Lecture Notes in Physics, vol 557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45396-2_14
Download citation
DOI: https://doi.org/10.1007/3-540-45396-2_14
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41074-4
Online ISBN: 978-3-540-45396-3
eBook Packages: Springer Book Archive