Resonance induced by repulsive interactions in a model of globally coupled bistable systems.

We show the existence of a competition-induced resonance effect for a generic globally coupled bistable system. In particular, we demonstrate that the response of the macroscopic variable to an external signal is optimal for a particular proportion of repulsive links. Furthermore, we show that a resonance also occurs for other system parameters, like the coupling strength and the number of elements. We relate this resonance to the appearance of a multistable region, and we predict the location of the resonance peaks, by a simple spectral analysis of the Laplacian matrix.

[1]  Matjaz Perc,et al.  Stochastic resonance in soft matter systems: combined effects of static and dynamic disorder , 2008, 0805.2759.

[2]  P Hänggi,et al.  Effect of channel block on the spiking activity of excitable membranes in a stochastic Hodgkin–Huxley model , 2004, Physical biology.

[3]  M. Morillo,et al.  Role of fluctuations in the response of coupled bistable units to weak time-periodic driving forces. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Alex Arenas,et al.  Amplified signal response in scale-free networks by collaborative signaling. , 2007, Physical review letters.

[5]  K. N. Dollman,et al.  - 1 , 1743 .

[6]  Hanshuang Chen,et al.  Structural-diversity-enhanced cellular ability to detect subthreshold extracellular signals. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Peter Hänggi,et al.  Stochastic Nonlinear Dynamics Modulated by External Periodic Forces , 1989 .

[8]  R. Toral,et al.  Divide and conquer: resonance induced by competitive interactions , 2008, 0805.4501.

[9]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[10]  Timothy M. Lenton,et al.  Potential analysis reveals changing number of climate states during the last 60 kyr , 2009 .

[11]  H. D. Watson At 14 , 1979 .

[12]  P. Anderson Absence of Diffusion in Certain Random Lattices , 1958 .

[13]  G. Nicolis,et al.  Stochastic aspects of climatic transitions–Additive fluctuations , 1981 .

[14]  S. Spragg Biophysical chemistry , 1979, Nature.

[15]  P. Hänggi,et al.  Stochastic Resonance: A remarkable idea that changed our perception of noise , 2009 .

[16]  I Leyva,et al.  Sparse repulsive coupling enhances synchronization in complex networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  A. Arenas,et al.  Erratum: Amplified Signal Response in Scale-Free Networks by Collaborative Signaling [Phys. Rev. Lett. 99, 128701 (2007)] , 2007 .

[18]  M. Gosak Cellular diversity promotes intercellular Ca2+ wave propagation. , 2009, Biophysical chemistry.

[19]  System size stochastic resonance: general nonequilibrium potential framework. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Raúl Toral,et al.  Diversity-induced resonance. , 2006, Physical review letters.

[21]  Claudio J. Tessone,et al.  Collective effects induced by diversity in extended systems , 2007 .

[22]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .

[23]  Celso Grebogi,et al.  International Journal of Bifurcation and Chaos: Editorial , 2008 .

[24]  U. Siewert,et al.  A glauber-dynamics approach to coupled stochastic resonators , 1997 .

[25]  Stochastic resonance of collective variables in finite sets of interacting identical subsystems. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  Michael Menzinger,et al.  Laplacian spectra as a diagnostic tool for network structure and dynamics. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  Haken,et al.  Stochastic Resonance with Sensitive Frequency Dependence in Globally Coupled Continuous Systems. , 1996, Physical review letters.

[28]  I. Goychuk,et al.  Stochastic resonance as a collective property of ion channel assemblies , 2001, physics/0106036.

[29]  Jung,et al.  Spatiotemporal stochastic resonance in excitable media. , 1995, Physical review letters.

[30]  Bulsara,et al.  Array enhanced stochastic resonance and spatiotemporal synchronization. , 1995, Physical review letters.

[31]  H. Wio,et al.  Stochastic resonance in extended systems , 2009 .

[32]  Localisation theory and the CuMn problem: Spin glasses , 1970 .

[33]  H. Kramers Brownian motion in a field of force and the diffusion model of chemical reactions , 1940 .

[34]  Emilio Hernández-García,et al.  Diversity-Induced Resonance in a System of Globally Coupled Linear oscillators , 2008, Int. J. Bifurc. Chaos.

[35]  Jung,et al.  Collective response in globally coupled bistable systems. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[36]  R. Benzi Stochastic resonance in complex systems , 2009 .

[37]  Maxi San Miguel,et al.  STOCHASTIC EFFECTS IN PHYSICAL SYSTEMS , 2000 .

[38]  Claudio J. Tessone,et al.  Global firing induced by network disorder in ensembles of active rotators , 2007, 0710.3311.

[39]  Olivier Bénichou,et al.  Instabilities and nonequilibrium structures IX , 2004 .

[40]  Lutz Schimansky-Geier,et al.  Linear response theory applied to stochastic resonance in models of ensembles of oscillators , 1997 .

[41]  Claudio J. Tessone,et al.  System size stochastic resonance in a model for opinion formation , 2004, cond-mat/0409620.

[42]  A. Pikovsky,et al.  System size resonance in coupled noisy systems and in the Ising model. , 2002, Physical review letters.

[43]  M. Morillo,et al.  Stochastic resonance in a mean-field model of cooperative behavior. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.