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We study the effects of noise on the collective dynamics of an ensemble of coupled phase oscillators whose natural frequencies are all identical, but whose coupling strengths are not the same all over the ensemble. The intensity of noise…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Damian H. Zanette

We present a design framework to induce stable oscillations through mixed feedback control. We provide conditions on the feedback gain and on the balance between positive and negative feedback contributions to guarantee robust oscillations.…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Weiming Che , Fulvio Forni

We show that multiplexing allows to control noise-induced dynamics of multilayer networks in the regime of stochastic resonance. We illustrate this effect on an example of two- and multi-layer networks of bistable overdamped oscillators. In…

Adaptation and Self-Organizing Systems · Physics 2023-01-04 Vladimir V. Semenov , Anna Zakharova

We demonstrate how coupling nonlinear dynamical systems can reduce the effects of noise. For simplicity we investigate noisy coupled map lattices. Noise from different lattice nodes can diffuse across the lattice and lower the noise level…

Chaotic Dynamics · Physics 2015-11-24 Behnam Kia , Sarvenaz Kia , John F. Lindner , Sudeshna Sinha , William L. Ditto

Effect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems consisting of coupled chaotic elements. In many situations it is observed that the uncoupled elements when driven by…

chao-dyn · Physics 2015-06-24 Manojit Roy , R. E. Amritkar

The effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unperturbed behavior by means of a nonequilibrium fluctuation-response relation. This formula holds also for systems with state-independent…

Statistical Mechanics · Physics 2017-06-13 Cem Yolcu , Antoine Bérut , Gianmaria Falasco , Artyom Petrosyan , Sergio Ciliberto , Marco Baiesi

Recent research has provided a wealth of evidence highlighting the pivotal role of high-order interdependencies in supporting the information-processing capabilities of distributed complex systems. These findings may suggest that high-order…

Adaptation and Self-Organizing Systems · Physics 2023-05-24 Patricio Orio , Pedro A. M. Mediano , Fernando E. Rosas

We have analyzed the interplay between an externally added noise and the intrinsic noise of systems that relax fast towards a stationary state, and found that increasing the intensity of the external noise can reduce the total noise of the…

Condensed Matter · Physics 2009-11-07 J. M. G. Vilar , J. M. Rubi

A prototype model of a stochastic one-variable system with a linear restoring force driven by two cross-correlated multiplicative and additive Gaussian white noises was considered earlier [S. I. Denisov et al., Phys. Rev. E 68, 046132…

Statistical Mechanics · Physics 2016-12-13 A. N. Vitrenko

Diversity is a fundamental feature of ecosystems, even when the concept of ecosystem is extended to sociology or economics. Diversity can be intended as the count of different items, animals, or, more generally, interactions. There are two…

Physics and Society · Physics 2016-09-14 Andrea Tacchella , Riccardo Di Clemente , Andrea Gabrielli , Luciano Pietronero

Many physical, chemical and biological systems exhibit a cooperative or sigmoidal response with respect to the input. In biochemistry, such behavior is called an allosteric effect. Here we demonstrate that a system with such properties can…

Adaptation and Self-Organizing Systems · Physics 2015-10-28 Hiroshi Ueno , Tatsuaki Tsuruyama , Bogdan Nowakowski , Jerzy Gorecki , Kenichi Yoshikawa

Group-based reinforcement can induce discontinuous transitions from inactive to active phases in higher-order contagion models. However, these results are typically obtained on static interaction structures or within mean-field…

We analyze the effect of the simultaneous presence of correlated additive and multiplicative noises on the stochastic resonance response of a modulated bistable system. We find that when the correlation parameter is also modulated, the…

Statistical Mechanics · Physics 2009-10-31 Claudio J. Tessone , Horacio S. Wio

Coherent oscillatory activity can arise spontaneously as a result of increased coupling in a system of excitable and passive cells, each being quiescent in isolation. This can potentially explain the appearance of spontaneous rhythmic…

Disordered Systems and Neural Networks · Physics 2012-12-17 Jinshan Xu , Rajeev Singh , Nicolas Garnier , Sitabhra Sinha , Alain Pumir

We study the versatile performance of networks of coupled circuits. Each of these circuits is composed of a positive and a negative feedback loop in a motif that is frequently found in genetic and neural networks. When two of these circuits…

Adaptation and Self-Organizing Systems · Physics 2015-06-22 Darka Labavić , Hildegard Meyer-Ortmanns

We identify the mechanism behind the existence of intensity induced chimera states in globally coupled oscillators. We find that the effect of intensity in the system is to cause multistability by increasing the number of fixed points. This…

Adaptation and Self-Organizing Systems · Physics 2015-06-22 V. K. Chandrasekar , R. Gopal , A. Venkatesan , M. Lakshmanan

The impact of quenched disorder on deterministic diffusion in chaotic dynamical systems is studied. As a simple example, we consider piecewise linear maps on the line. In computer simulations we find a complicated scenario of multiple…

Chaotic Dynamics · Physics 2009-11-07 R. Klages

We analyze the stochastic response of a finite set of globally coupled noisy bistable units driven by rather weak time-periodic forces. We focus on the stochastic resonance and phase frequency synchronization of the collective variable,…

Statistical Mechanics · Physics 2009-11-13 Manuel Morillo , Jose Gomez-Ordonez Jose Manuel Casado

Random non-reciprocal interactions between a large number of conserved densities are shown to enhance the stability of the system towards pattern formation. The enhanced stability is an exact result when the number of species approaches…

Soft Condensed Matter · Physics 2025-10-08 Laya Parkavousi , Navdeep Rana , Ramin Golestanian , Suropriya Saha

Populations of globally coupled identical maps subject to additive, independent noise are studied in the regimes of strong coupling. Contrary to each noisy population element, the mean field dynamics undergoes qualitative changes when the…

Statistical Mechanics · Physics 2007-05-23 Silvia De Monte , Francesco d'Ovidio , Erik Mosekilde