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We consider a two-layer multiplex network of diffusively coupled FitzHugh-Nagumo (FHN) neurons in the excitable regime. It is shown, in contrast to SISR in a single isolated FHN neuron, that the maximum noise amplitude at which SISR occurs…

Adaptation and Self-Organizing Systems · Physics 2019-08-28 Yamakou E. Marius , Juergen Jost

We theoretically describe how weak signals may be efficiently transmitted throughout more than one frequency range in noisy excitable media by kind of stochastic multiresonance. This serves us here to reinterpret recent experiments in…

Data Analysis, Statistics and Probability · Physics 2015-05-27 J. J. Torres , J. Marro , J. F. Mejias

Noise mechanisms in quantum systems can be broadly characterized as either coherent (i.e., unitary) or incoherent. For a given fixed average error rate, coherent noise mechanisms will generally lead to a larger worst-case error than…

Quantum Physics · Physics 2019-01-29 Joel J. Wallman , Christopher Granade , Robin Harper , Steven T. Flammia

Chaos and Noise are ubiquitous in the Brain. Inspired by the chaotic firing of neurons and the constructive role of noise in neuronal models, we for the first time connect chaos, noise and learning. In this paper, we demonstrate Stochastic…

Neurons and Cognition · Quantitative Biology 2021-03-10 Harikrishnan NB , Nithin Nagaraj

Inverse stochastic resonance comprises a nonlinear response of an oscillatory system to noise where the frequency of noise-perturbed oscillations becomes minimal at an intermediate noise level. We demonstrate two generic scenarios for…

Adaptation and Self-Organizing Systems · Physics 2020-04-22 Iva Bačić , Igor Franović

At an optimal value of the noise intensity, the maximum variability in rebound burst durations is observed and referred to as a response stochastic incoherence. A general mechanism underlying this phenomenon is given, being different from…

Biological Physics · Physics 2010-03-23 Marzena Ciszak

We show that it is possible for chaotic systems to display the main features of coherence resonance. In particular, we show that a Chua model, operating in a chaotic regime and in the presence of noise, can exhibit oscillations whose…

Condensed Matter · Physics 2009-10-31 C. Palenzuela , R. Toral , C. R. Mirasso , O. Calvo , J. D. Gunton

Emergence of noise induced regularity or Coherence Resonance in nonlinear excitable systems is well known. We explain theoretically why the normalized variance ($V_{N}$) of inter spike time intervals, which is a measure of regularity in…

Statistical Mechanics · Physics 2015-05-14 Santidan Biswas , Dibyendu Das , P. Parmananda , Anirban Sain

We study two models of quantum absorption refrigerators with the main focus on discerning the role of noise-induced coherence on their thermodynamic performance. Analogously to the previous studies on quantum heat engines, we find the…

Statistical Mechanics · Physics 2018-09-27 Viktor Holubec , Tomáš Novotný

Using the FitzHugh-Nagumo system in the excitable regime, we investigate the influence of the L{\'e}vy noise properties on the effect of coherence resonance. In particular, we demonstrate that the L{\'e}vy noise can be a constructive or…

Adaptation and Self-Organizing Systems · Physics 2024-04-23 Ivan Korneev , Anna Zakharova , Vladimir V. Semenov

The study in [Phys. Rev. Lett. 117, 014102 (2016)] discovered a novel type of chimera state known as coherence-resonance chimera (CRC), which combines the effects of coherence resonance (CR) and the spatial property of classical chimeras.…

Adaptation and Self-Organizing Systems · Physics 2023-05-09 Jinjie Zhu , Marius E. Yamakou

Problems with artificial neural networks originate from their deterministic nature and inevitable prior learnings, resulting in inadequate adaptability against unpredictable, abrupt environmental change. Here we show that a stochastically…

Disordered Systems and Neural Networks · Physics 2009-11-13 Naoki Asakawa , Yasushi Hotta , Teruo Kanki , Hitoshi Tabata , Tomoji Kawai

We study the dynamics of two neuronal populations weakly and mutually coupled in a multiplexed ring configuration. We simulate the neuronal activity with the stochastic FitzHugh-Nagumo (FHN) model. The two neuronal populations perceive…

Adaptation and Self-Organizing Systems · Physics 2021-03-17 M. Masoliver , C. Masoller , A. Zakharova

We present a concise review and perspective on noise-induced synchronization and coherence protection in open quantum systems, with emphasis on recent work involving coupled spins, oscillators, and anyons. When local environments exhibit…

Quantum Physics · Physics 2025-07-28 Eric R. Bittner , Bhavay Tyagi

Neurons in the central nervous system are affected by complex and noisy signals due to fluctuations in their cellular environment and in the inputs they receive from many other cells 1,2. Such noise usually increases the probability that a…

Neurons and Cognition · Quantitative Biology 2008-05-06 Boris S. Gutkin , Juergen Jost , Henry C. Tuckwell

The counter-intuitive phenomenon of coherence resonance describes a non-monotonic behavior of the regularity of noise-induced oscillations in the excitable regime, leading to an optimal response in terms of regularity of the excited…

Adaptation and Self-Organizing Systems · Physics 2021-03-24 Emre Baspinar , Leonhard Schülen , Simona Olmi , Anna Zakharova

Some systems cannot be predicted by classical theories and it is required the development of combined deterministic and stochastic theories that make used of noise for dynamical prediction. Noise is not always an interfering signal which…

Adaptation and Self-Organizing Systems · Physics 2019-05-14 Alexandra Pinto Castellanos

Self-induced stochastic resonance (SISR) is the emergence of coherent oscillations in slow-fast excitable systems driven solely by noise, without external periodic forcing or proximity to a bifurcation. This work presents a physics-informed…

Machine Learning · Computer Science 2026-01-29 Divyesh Savaliya , Marius E. Yamakou

The phenomenon of self-induced stochastic resonance (SISR) requires a nontrivial scaling limit between the deterministic and the stochastic timescales of an excitable system, leading to the emergence of coherent oscillations which are…

Adaptation and Self-Organizing Systems · Physics 2021-12-07 Florian Bönsel , Patrick Krauss , Claus Metzner , Marius E. Yamakou

We demonstrate that chimera behavior can be observed in nonlocally coupled networks of excitable systems in the presence of noise. This phenomenon is distinct from classical chimeras, which occur in deterministic oscillatory systems, and it…

Adaptation and Self-Organizing Systems · Physics 2016-07-06 Nadezhda Semenova , Anna Zakharova , Vadim Anishchenko , Eckehard Schöll