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We undertake a detailed numerical study of the twin phenomena of stochastic and vibrational resonance in a discrete model system in the presence of bichromatic input signal. A two parameter cubic map is used as the model that combines the…

Chaotic Dynamics · Physics 2009-11-13 K. P. Harikrishnan , G. Ambika

We perform experiments and phase model simulations with a ring network of oscillatory electrochemical reactions to explore the effect of random connections and non-isochronocity of the interactions on the pattern formation. A few additional…

Disordered Systems and Neural Networks · Physics 2016-03-23 Michael Sebek , Ralf Tönjes , István Z. Kiss

Consensus algorithms on networks have received increasing attention in recent years for various applications ranging from animal flocking to multi-vehicle co-ordination. Building on the established model for second-order consensus of…

Adaptation and Self-Organizing Systems · Physics 2020-11-30 Fabian Baumann , Igor M. Sokolov , Melvyn Tyloo

The interactions between individuals play a pivotal role in shaping the structure and dynamics of social systems. Complex network models have proven invaluable in uncovering the underlying mechanisms that govern the formation and evolution…

Similar activity patterns may arise from model neural networks with distinct coupling properties and individual unit dynamics. These similar patterns may, however, respond differently to parameter variations and, specifically, to tuning of…

Neurons and Cognition · Quantitative Biology 2023-06-16 Zhuojun Yu , Jonathan E. Rubin , Peter J. Thomas

Our goal in this paper is to leverage the potential of the topological signal processing (TSP) framework for analyzing brain networks. Representing brain data as signals over simplicial complexes allows us to capture higher-order…

Signal Processing · Electrical Eng. & Systems 2025-04-11 Breno C. Bispo , Stefania Sardellitti , Fernando A. N. Santos , Juliano B. Lima

We investigate the effect of topological disorder on a system of forced threshold elements, where each element is arranged on top of complex heterogeneous networks. Numerical results indicate that the response of the system to a weak signal…

Disordered Systems and Neural Networks · Physics 2015-05-13 Hanshuang Chen , Yu Shen , Zhonghuai Hou , Houwen Xin

We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase…

Disordered Systems and Neural Networks · Physics 2013-01-22 Bernard Sonnenschein , Francesc Sagués , Lutz Schimansky-Geier

We consider the escape of particles located in the middle well of a symmetric triple well potential driven sinusoidally by two forces such that the potential wells roll as in stochastic resonance and the height of the potential barrier…

Chemical Physics · Physics 2015-06-05 Pulak Kumar Ghosh , Bidhan Chandra Bag , Deb Shankar Ray

A stochastic averaging technique based on energy-dependent frequency is extended to dynamical systems with triple-well potential driven by colored noise. The key procedure is the derivation of energy-dependent frequency according to the…

Dynamical Systems · Mathematics 2020-03-18 Yanxia Zhang , Yanfei Jin

We study the effects of periodic subthreshold pacemaker activity and time-delayed coupling on stochastic resonance over scale-free neuronal networks. As the two extreme options, we introduce the pacemaker respectively to the neuron with the…

Neurons and Cognition · Quantitative Biology 2009-06-09 Qingyun Wang , Matjaz Perc , Zhisheng Duan , Guanrong Chen

Stochastic orders are binary relations defined on probability distributions which capture intuitive notions like being larger or being more variable. This paper introduces stochastic ordering of interference distributions in large-scale…

Information Theory · Computer Science 2012-10-26 Junghoon Lee , Cihan Tepedelenlioglu

We study the overdamped version of two coupled anharmonic oscillators under the influence of both low- and high-frequency forces respectively and a Gaussian noise term added to one of the two state variables of the system. The dynamics of…

Chaotic Dynamics · Physics 2009-11-11 V. M. Gandhimathi , S. Rajasekar , J. Kurths

In this manuscript, a silent resonator neuron is coupled with a spiking integrator neuron through the gap junction, when the coupled neurons are of different types of excitability and none of the coupled neurons exhibit mixed mode…

Dynamical Systems · Mathematics 2024-01-18 Mohammad Reza Razvan , Somaye Yasaman

The dynamics of an extremely diluted neural network with high order synapses acting as corrections to the Hopfield model is investigated. As in the fully connected case, the high order terms may strongly improve the storage capacity of the…

Condensed Matter · Physics 2009-10-22 N. Lemke , J. J. Arenzon , F. A. Tamarit

We provide some examples of quantum channels where the addition of noise is able to enhance the information transmission rate. This may happen for both quantum and classical uses and realizes stochastic resonance effects.

Quantum Physics · Physics 2009-11-11 Garry Bowen , Stefano Mancini

We present a novel scheme for the appearance of Stochastic Resonance when the dynamics of a Brownian particle takes place in a confined medium. The presence of uneven boundaries, giving rise to an entropic contribution to the potential, may…

Statistical Mechanics · Physics 2009-11-13 P. S. Burada , G. Schmid , D. Reguera , M. H. Vainstein , J. M. Rubi , P. Hanggi

Animal communication is frequently studied with conventional network representations that link pairs of individuals who interact, for example, through vocalisation. However, acoustic signals often have multiple simultaneous receivers, or…

Populations and Evolution · Quantitative Biology 2023-11-08 Iacopo Iacopini , Jennifer R Foote , Nina H Fefferman , Elizabeth P Derryberry , Matthew J Silk

Higher-order interactions that nonlinearly couple more than two nodes are important in many networked systems, and their effects on collective dynamics are increasingly being studied. Here we provide an overview of this rapidly growing…

Adaptation and Self-Organizing Systems · Physics 2026-03-23 Federico Battiston , Christian Bick , Maxime Lucas , Ana P. Millán , Per Sebastian Skardal , Yuanzhao Zhang

How do the combined effects of phase frustration, noise, and higher-order interactions govern synchronization in globally coupled heterogeneous Kuramoto oscillators? To address this question, we investigate a globally coupled network of…

Chaotic Dynamics · Physics 2025-12-12 Asutosh Anand Singh , Chandrakala Meena