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We study stochastic dynamics of an ensemble of N globally coupled excitable elements. Each element is modeled by a FitzHugh-Nagumo oscillator and is disturbed by independent Gaussian noise. In simulations of the Langevin dynamics we…

Statistical Mechanics · Physics 2009-11-11 M. Zaks , X. Sailer , L. Schimansky-Geier , A. Neiman

Previous studies have shown that noise can induce coherence resonance in some nonlinear dynamical systems close to a bifurcation of a periodic motion, such as in excitable systems. We demonstrate that coherence resonance can be observed in…

Chaotic Dynamics · Physics 2007-05-23 Bambi Hu , Changsong Zhou

We set up a signal-driven scheme of the chaotic neural network with the coupling constants corresponding to certain information, and investigate the stochastic resonance-like effects under its deterministic dynamics, comparing with the…

Chaotic Dynamics · Physics 2007-05-23 Haruhiko Nishimura , Naofumi Katada , Kazuyuki Aihara

A new type of noised-induced phase transitions that should occur in systems of elements with motivated behavior is considered. By way of an example, a simple oscillatory system {x,v} with additive white noise is analyzed numerically. A…

Soft Condensed Matter · Physics 2007-05-23 Ihor Lubashevsky , Morteza Hajimahmoodzadeh , Albert Katsnelson , Peter Wagner

We discuss stochastic resonance (SR) effects in driven coupled quantum systems. We construct dynamical and information theoretic measures of the system's response that exhibit a non-monotonic behaviour as a function of the noise strength.…

Quantum Physics · Physics 2013-05-29 Susana Huelga , Martin Plenio

In specific motifs of three recurrently connected neurons with probabilistic response, the spontaneous information flux, defined as the mutual information between subsequent states, has been shown to increase by adding ongoing white noise…

Neurons and Cognition · Quantitative Biology 2024-08-13 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

We investigate the effect of randomness in both relationships and decisions on the evolution of cooperation. Simulation results show, in such randomness' presence, the system evolves to a more frequency cooperation state than in its…

Other Condensed Matter · Physics 2007-05-23 Jie Ren , Wen-Xu Wang , Feng Qi

Stochastic resonance is a counter-intuitive concept[1,2], ; the addition of noise to a noisy system induces coherent amplification of its response. First suggested as a mechanism for the cyclic recurrence of ice ages, stochastic resonance…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. L. Badzey , P. Mohanty

An unexpected and somewhat surprising observation is that two counter-cascaded systems, given the right conditions, can exhibit multivaluedness from one of the outputs to the other. The main result presented here is a necessary and…

Systems and Control · Electrical Eng. & Systems 2020-01-28 Michael Antonie van Wyk

Inspired by the swarming or flocking of animal systems we study groups of agents moving in unbounded 2D space. Individual trajectories derive from a ``bottom-up'' principle: individuals reorient to maximise their future path entropy over…

Statistical Mechanics · Physics 2023-04-21 Harvey L. Devereux , Matthew S. Turner

Oscillations represent a ubiquitous phenomenon in biological systems. The conventional models of biological periodic oscillations are usually proposed as interconnecting transcriptional feedback loops. Some specific proteins function as…

Pattern Formation and Solitons · Physics 2013-05-29 Yue Ma , Kenichi Yoshikawa

We report the theoretical and experimental demonstration of pattern formation in acoustics. The system is an acoustic resonator containing a viscous fluid. When the system is driven by an external periodic force, the ultrasonic field inside…

Pattern Formation and Solitons · Physics 2015-05-19 V. J. Sanchez-Morcillo , J. Martinez-Mora , I. Perez-Arjona , V. Espinosa , P. Alonso

In high-dimensional data, structured noise caused by observed and unobserved factors affecting multiple target variables simultaneously, imposes a serious challenge for modeling, by masking the often weak signal. Therefore, (1) explaining…

In animal groups, individual decisions are best characterised by probabilistic rules. Furthermore, animals of many species live in small groups. Probabilistic interactions among small numbers of individuals lead to a so called intrinsic…

Populations and Evolution · Quantitative Biology 2020-04-23 Jitesh Jhawar , Vishwesha Guttal

We consider effect of stochastic sources upon self-organization process being initiated with creation of the limit cycle induced by the Hopf bifurcation. General relations obtained are applied to the stochastic Lorenz system to show that…

Statistical Mechanics · Physics 2008-09-30 I A Shuda , S S Borysov , A I Olemskoi

The network reciprocity is an important dynamic rule fostering the emergence of cooperation among selfish individuals. This was reported firstly in the seminal work of Nowak and May, where individuals were arranged on the regular lattice…

Adaptation and Self-Organizing Systems · Physics 2015-06-15 Gui-Qing Zhang , Qi-Bo Sun , Lin Wang

Many physical systems are forced by external inputs, which can sometimes take the form of chaotic variation. A particular example is found in applications related to weather and climate, where chaotic variation is prevalent across various…

Chaotic Dynamics · Physics 2026-03-17 Courtney Quinn , Hassan Alkhayuon

Multi--stability in the response of a ferrimagnetic spin resonator to an externally applied driving is experimentally studied. The observed multi--stability cannot be derived from any master equation that linearly depends on the spins'…

Quantum Physics · Physics 2025-01-22 Eyal Buks

The constructive role of non-Gaussian random fluctuations is studied in the context of the passage over the dichotomously switching potential barrier. Our attention focuses on the interplay of the effects of independent sources of…

Statistical Mechanics · Physics 2007-05-23 Bartlomiej Dybiec , Ewa Gudowska-Nowak

We investigate stochastic resonance (SR) in an ensemble of coupled overdamped bistable oscillators driven by colored noise. The networks incorporate the weighted contributions of both pairwise coupling and 2-simplex coupling. Our findings…

Statistical Mechanics · Physics 2026-03-09 Zhongwen Bi , Dan Zhao , Qi Liu , Jürgen Kurths , Yong Xu
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