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We show that \emph{stochastic bursting} is observed in a ring of unidirectional delay-coupled noisy excitable systems, thanks to the combinational action of time-delayed coupling and noise. Under the approximation of timescale separation,…

Disordered Systems and Neural Networks · Physics 2019-05-01 Chunming Zheng , Arkady Pikovsky

Many neuronal systems and models display a certain class of mixed mode oscillations (MMOs) consisting of periods of small amplitude oscillations interspersed with spikes. Various models with different underlying mechanisms have been…

Adaptation and Self-Organizing Systems · Physics 2015-03-13 Peter Borowski , Rachel Kuske , Yue-Xian Li , Juan Luis Cabrera

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

Arrhythmias are potentially fatal disruptions to the normal heart rhythm, but their underlying dynamics is still poorly understood. Theoretical modeling is an important tool to fill this gap. Typical studies often employ detailed…

Tissues and Organs · Quantitative Biology 2022-03-08 R. V. Stenzinger , M. H. R. Tragtenberg

We analyzed the heartbeat time series of 12 human subjects exposed to progressive central hypovolemia with lower body negative pressure. Two data processing techniques based on wavelet transforms were used to determine the change in the…

Statistical Mechanics · Physics 2007-05-23 Bruce J. West , Nicola Scafetta , William H. Cooke , Rita Balocchi

An efficient technique is introduced for model inference of complex nonlinear dynamical systems driven by noise. The technique does not require extensive global optimization, provides optimal compensation for noise-induced errors and is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 V. N. Smelyanskiy , D. A. Timucin , A. Bandrivskyy , D. G. Luchinsky

In a computational study we reveal a novel dynamical instability of excitation waves in the heartmuscle. The instability manifests itself as gradual local increase in the duration of the actionpotential which causes formation and…

Biological Physics · Physics 2019-08-15 L. D. Weise , A. V. Panfilov

A major challenge in neuroscience is posed by the need for relating the emerging dynamical features of brain activity with the underlying modular structure of neural connections, hierarchically organized throughout several scales. The…

Neurons and Cognition · Quantitative Biology 2016-06-03 Pablo Villegas , Jorge Hidalgo , Paolo Moretti , Miguel A. Muñoz

A new type of intermittent behavior is described to occur near the boundary of phase synchronization regime of coupled chaotic oscillators. This mechanism, called ring intermittency, arises for sufficiently high initial mismatches in the…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Maria K. Kurovskaya , S. Boccaletti

Two remote agents with synchronized clocks may use them to act in concert and communicate. This necessitates some means of creating and maintaining synchrony. One method, not requiring any direct interaction between the agents, is to expose…

Statistical Mechanics · Physics 2026-05-20 Benjamin Sorkin , Thomas A. Witten

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

Arrhythmias are irregularities in the hearts electrical system which cause rapid and irregular heartbeats. These heart conditions affect over 33 million people globally and significantly increase the risk of severe complications, including…

Signal Processing · Electrical Eng. & Systems 2024-10-29 Praveen Kumar Pandian Shanmuganathan , Vatsal Sivaratri

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 discuss aspects of randomness and of determinism in electrocardiographic signals. In particular, we take a critical look at attempts to apply methods of nonlinear time series analysis derived from the theory of deterministic dynamical…

chao-dyn · Physics 2007-05-23 Holger Kantz , Thomas Schreiber

We use particle dynamics simulations to probe the correlations between noise and dynamics in a variety of disordered systems, including superconducting vortices, 2D electron liquid crystals, colloids, domain walls, and granular media. The…

Superconductivity · Physics 2009-11-10 C. J. Olson Reichhardt , C. Reichhardt

The influence of noise on the generalized synchronization regime in the chaotic systems with dissipative coupling is considered. If attractors of the drive and response systems have an infinitely large basin of attraction, generalized…

Changes in parameters of a physical device can eventually lead to catastrophic failure. This paper discusses a parameter estimation method based on synchronization between a model and time series data. In particular, we examine the…

chao-dyn · Physics 2007-05-23 Justin Goodwin , Reggie Brown , Lutz Junge

Background: It has been difficult to demonstrate circadian rhythm in the two parameters of heart rate turbulence, turbulence onset (TO) and turbulence slope (TS). Objective: To devise a new method for detecting circadian rhythm in noisy…

Models of biological processes are often subject to different sources of noise. Developing an understanding of the combined effects of different types of uncertainty is an open challenge. In this paper, we study a variant of the…

Populations and Evolution · Quantitative Biology 2018-03-28 Francisco Herrerías-Azcué , Tobias Galla

Atrial fibrillation is a heart rhythm disorder that affects tens of millions people worldwide. The most effective treatment is catheter ablation. This involves irreversible heating of abnormal cardiac tissue facilitated by electroanatomical…

Medical Physics · Physics 2022-11-01 Jiyue He , Arkady Pertsov , Sanjay Dixit , Katie Walsh , Eric Toolan , Rahul Mangharam