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We study an extended system that without noise shows a spatially homogeneous state, but when submitted to an adequate multiplicative noise, some "noise-induced patterns" arise. The stochastic resonance between these structures is…

Pattern Formation and Solitons · Physics 2013-05-29 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

We study synchronization and noise-induced resonance phenomena in systems of globally coupled oscillators, each possessing finite inertia. The behavior of the order parameter, which measures collective synchronization of the system, is…

Statistical Mechanics · Physics 2009-10-31 H. Hong , M. Y. Choi

The dynamics of noise-resilient Boolean networks with majority functions and diverse topologies is investigated. A wide class of possible topological configurations is parametrized as a stochastic blockmodel. For this class of networks, the…

Disordered Systems and Neural Networks · Physics 2012-01-11 Tiago P. Peixoto

Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections within an ensemble of coupled oscillators, plays a crucial…

Dynamical Systems · Mathematics 2023-03-31 Paolo Bartesaghi

Triadic interactions are the fundamental mechanism of energy transfer in fluid flows. This work introduces bispectral mode decomposition as a direct means of educing flow structures that are associated with triadic interactions from…

Fluid Dynamics · Physics 2021-01-20 Oliver T. Schmidt

While the stochastic dynamics of two coupled oscillators have been extensively studied, most of the research has focused on stochastic input with equal intensity. However, this is often not the case in biological systems. In this study, we…

Dynamical Systems · Mathematics 2023-03-02 Gurpreet Jagdev , Na Yu

A new method is introduced to obtain a strong signal by the interference of weak signals in noisy channels. The method is based on the interference of 1/f noise from parallel channels. One realization of stochastic interference is the…

Chaotic Dynamics · Physics 2009-11-07 K. Svozil , D. Felix , K. Ehrenberger

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

We analytically determine the correlation functions of the stochastic response of a generic mapping system driven by colored noise. We also address the issue of noise cascading in coupled-element systems, particularly in a uni-directionally…

chao-dyn · Physics 2007-05-23 Rue-Ron Hsu , Jyh-Long Chern , Wei-Fu Lin , Chia-Chu Chen

From spiking activity in neuronal networks to force chains in granular materials, the behavior of many real-world systems depends on a network of both strong and weak interactions. These interactions give rise to complex and higher-order…

Quantitative Methods · Quantitative Biology 2021-01-12 Ann S. Blevins , Jason Z. Kim , Danielle S. Bassett

In dynamical systems on networks, one assigns the dynamics to nodes, which are then coupled via links. This approach does not account for group interactions and dynamics on links and other higher dimensional structures. Higher-order network…

Pattern Formation and Solitons · Physics 2026-02-12 Riccardo Muolo , Iván León , Yuzuru Kato , Hiroya Nakao

The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled…

chao-dyn · Physics 2009-10-31 Sitabhra Sinha

We study the emergence and coherence of stochastic oscillations in star networks of excitable elements in which peripheral nodes receive independent random inputs. A biophysical model of a distal branch of sensory neuron in which peripheral…

Biological Physics · Physics 2016-04-21 Justus A. Kromer , Lutz Schimansky-Geier , Alexander B. Neiman

Thermoacoustic systems are complex systems where the interactions between the hydrodynamic, acoustic and heat release rate fluctuations lead to diverse dynamics such as chaos, intermittency, and ordered dynamics. Such complex interactions…

Fluid Dynamics · Physics 2023-09-01 Shruti Tandon , Raman I. Sujith

Coupling, synchronization, and non-linear dynamics of resonator modes are omnipresent in nature and highly relevant for a multitude of applications ranging from lasers to Josephson arrays and spin torque oscillators. Nanomechanical…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Matthias Pernpeintner , Philip Schmidt , Daniel Schwienbacher , Rudolf Gross , Hans Huebl

The interplay between causal mechanisms and emerging collective behaviors is a central aspect of understanding, controlling, and predicting complex networked systems. In our work, we investigate the relationship between higher-order…

We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show…

Adaptation and Self-Organizing Systems · Physics 2020-04-01 Jonathan D. Touboul , Charlotte Piette , Laurent Venance , G. Bard Ermentrout

We undertake a detailed numerical study of the phenomenon of stochastic resonance with multisignal inputs. A bistable cubic map is used as the model and we show that it combines the features of a bistable system and a threshold system. A…

Chaotic Dynamics · Physics 2007-05-23 K P Harikrishnan , G Ambika

Stochastic resonance is a phenomenon where a noise of appropriate intensity enhances the input signal strength. In this work, by employing the recently developed convex optimization methods in the context of dynamical systems and stochastic…

Dynamical Systems · Mathematics 2023-09-22 Minjae Cho

We demonstrate the appearance of a purely entropic stochastic resonance (ESR) occurring in a geometrically confined system, where the irregular boundaries cause entropic barriers. The interplay between a periodic input signal, a constant…

Statistical Mechanics · Physics 2009-09-22 P. S. Burada , G. Schmid , D. Reguera , J. M. Rubi , P. Hänggi
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