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Synchronized oscillations are of critical functional importance in many biological systems. We show that such oscillations can arise without centralized coordination in a disordered system of electrically coupled excitable and passive…

Adaptation and Self-Organizing Systems · Physics 2015-06-03 Rajeev Singh , Jinshan Xu , Nicolas Garnier , Alain Pumir , Sitabhra Sinha

Conditions such as insomnia, cardiac arrhythmia and jet-lag share a common feature: they are all related to the ability of biological systems to synchronize with the day-night cycle. When organisms lose resilience, this ability of…

Quantitative Methods · Quantitative Biology 2020-03-27 Pablo Rodríguez-Sánchez , Egbert H. van Nes , Marten Scheffer

We consider a ring of identical or near identical coupled periodic oscillators in which the connections have randomly heterogeneous strength. We use the master stability function method to determine the possible patterns at the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Juan G. Restrepo , Edward Ott , Brian R. Hunt

A framework for performing event-driven, adaptive time step simulations of systems of rigid bodies interacting under stepped or terraced potentials in which the potential energy is only allowed to have discrete values is outlined. The…

Soft Condensed Matter · Physics 2008-08-11 Ramses van Zon , Jeremy Schofield

The dynamics of entanglement and the phenomenon of entanglement sudden death (ESD) \cite{yu} are discussed in bipartite systems, measured by Wootters Concurrence. Our calculation shows that ESD appears whenever the system is open or closed…

Quantum Physics · Physics 2009-11-13 H. T. Cui , K. Li , X. X. Yi

We report enhancing of complete synchronization in identical chaotic oscillators when their interaction is mediated by a mismatched oscillator. The identical oscillators now interact indirectly through the intermediate relay oscillator. The…

Chaotic Dynamics · Physics 2017-07-06 Ranjib Banerjee , Bidesh K. Bera , Dibakar Ghosh , Syamal Kumar Dana

Event-related potentials (ERP) are measurements of brain activity with wide applications in basic and clinical neuroscience, that are typically estimated using the average of many trials of electroencephalography signals (EEG) to…

Machine Learning · Computer Science 2025-12-01 Anders Vestergaard Nørskov , Kasper Jørgensen , Alexander Neergaard Zahid , Morten Mørup

For an autonomous linear time-invariant (LTI) system, a distributed observer with time-triggered periodic observations and event-triggered communication is proposed to estimate the state of the system. It is shown that the sampling period…

Systems and Control · Electrical Eng. & Systems 2023-05-08 Shimin Wang , Zhan Shu , Tongwen Chen

This study investigates the synchronization dynamics of coupled-oscillator systems in which some of the oscillators are damaged and lose their autonomous oscillations. The damaged elements are modeled using damped oscillators; thus, the…

Adaptation and Self-Organizing Systems · Physics 2025-11-18 Shota Inagawa , Hiroki Hata , Shigefumi Hata

Chaos synchronization in a ring of diffusively coupled nonlinear oscillators driven by an external identical oscillator is studied. Based on numerical simulations we show that by introducing additional couplings at $(mN_c+1)$-th oscillators…

Chaotic Dynamics · Physics 2011-11-28 D. V. Senthilkumar , P. Muruganandam , M. Lakshmanan , J. Kurths

Inspired by the observation of a distributed time delay in the nonlinear response of an optical resonator, we investigate the effects of a similar delay on a noise-driven mechanical oscillator. For a delay time that is commensurate with the…

Optics · Physics 2022-02-16 K. J. H. Peters , S. R. K. Rodriguez

The emergence of order in nature manifests in different phenomena, with synchronization being one of the most representative examples. Understanding the role played by the interactions between the constituting parts of a complex system in…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Joseph D. O'Brien , Timoteo Carletti , Malbor Asllani

Communication load is a limiting factor in many real-time systems. Event-triggered state estimation and event-triggered learning methods reduce network communication by sending information only when it cannot be adequately predicted based…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Jonas Beuchert , Friedrich Solowjow , Jörg Raisch , Sebastian Trimpe , Thomas Seel

The process by which humans synchronize to a musical beat is believed to occur through error-correction where an individual's estimates of the period and phase of the beat time are iteratively adjusted to align with an external stimuli.…

Dynamical Systems · Mathematics 2020-05-14 Áine Byrne , John Rinzel , Amitabha Bose

Relation extraction is a central task in natural language processing (NLP) and information retrieval (IR) research. We argue that an important type of relation not explored in NLP or IR research to date is that of an event being an argument…

Computation and Language · Computer Science 2023-04-05 Ruiqi Li , Patrik Haslum , Leyang Cui

We adapt a previous model and analysis method (the {\it master stability function}), extensively used for studying the stability of the synchronous state of networks of identical chaotic oscillators, to the case of oscillators that are…

Chaotic Dynamics · Physics 2009-11-10 Juan G. Restrepo , Edward Ott , Brian R. Hunt

We assume that the energy spectrum of a chaotic system undergoing symmetry breaking transitions can be represented as a superposition of independent level sequences, one increasing on the expense of the others. The relation between the…

Statistical Mechanics · Physics 2007-05-23 A. Y. Abul-Magd , M. H. Simbel

This paper is concerned with the analysis of a class of impacting systems of relevance in applications: cam-follower systems. We show that these systems, which can be modelled as discontinuously forced impact oscillators, can exhibit…

Mathematical Physics · Physics 2007-11-08 Gustavo Osorio , Mario di Bernardo , Stefania Santini

Event-based control, unlike analogue control, poses significant analytical challenges due to its hybrid dynamics. This work investigates the stability and inter-event time properties of a control-affine system under event-based impulsive…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Luke Eilers , Jonas Stapmanns , Catarina Dias , Jean-Pascal Pfister

For a class of coupled limit cycle oscillators, we give a condition on a linear coupling operator that is necessary and sufficient for exponential stability of the synchronous solution. We show that with certain modifications our method of…

Adaptation and Self-Organizing Systems · Physics 2010-02-24 Georgi S. Medvedev
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