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A comparative analysis of two approaches to description of the light modulation pulse delay in a saturable absorber is presented. According to the simplest model, the delay of the optical pulse is a result of distortion of its shape due to…

Optics · Physics 2015-05-27 V. S. Zapasskii , G. G. Kozlov

The multi-agent system has been a hot topic in the past few decades owing to its lower cost, higher robustness, and higher flexibility. As a particular multi-agent system, the multiple rigid body system received a growing interest for its…

Systems and Control · Electrical Eng. & Systems 2023-08-29 X. Jin , Daniel W. C. Ho , Y. Tang

The subject of this paper is to study conformance checking for timed models, that is, process models that consider both the sequence of events in a process as well as the timestamps at which each event is recorded. Time-aware process mining…

Formal Languages and Automata Theory · Computer Science 2022-10-28 Neha Rino , Thomas Chatain

The congestion of a motorway section is propagated to its neighbouring sections, leading to correlations. The resulting correlation matrix encodes the information on congestion. Here, we study symmetrized time-lagged correlations and show…

Physics and Society · Physics 2024-08-01 Gabor B. Hollbeck , René Pilarczyk , Shanshan Wang , Michael Schreckenberg , Thomas Guhr

This work introduces a methodology for studying synchronization in adaptive networks with heterogeneous plasticity (adaptation) rules. As a paradigmatic model, we consider a network of adaptively coupled phase oscillators with…

Dynamical Systems · Mathematics 2021-06-25 Rico Berner , Serhiy Yanchuk

Synchronization problems of continuous and discrete singularly perturbed systems are studied in this paper with singular perturbations and time scales (SPaTS) technique. The dynamics of leader and followers are decomposed into pure-slow and…

Systems and Control · Computer Science 2018-06-25 Neng Wan , Desineni S. Naidu

Multi-agent systems cooperation to achieve global goals is usually limited by sensing, actuation, and communication issues. At the local level, continuous measurement and actuation is only approximated by the use of digital mechanisms that…

Optimization and Control · Mathematics 2016-11-18 Eloy Garcia , Yongcan Cao , David W. Casbeer

It is delightful to observe the emergence of synchronization in the blinking of fireflies to attract partners and preys. Other charming examples of synchronization can also be found in a wide range of phenomena such as, e.g., neurons…

Adaptation and Self-Organizing Systems · Physics 2012-10-03 V. H. P. Louzada , N. A. M. Araújo , J. S. Andrade , H. J. Herrmann

Living organisms need to be sensitive to a changing environment while also ignoring uninformative environmental fluctuations. Here, we show that the circadian clock in \textit{Synechococcus elongatus} can naturally tune its environmental…

Molecular Networks · Quantitative Biology 2019-03-19 Kabir Husain , Weerapat Pittayakanchit , Gopal Pattanayak , Michael J Rust , Arvind Murugan

A chaotic dynamics is typically characterized by the emergence of strange attractors with their fractal or multifractal structure. On the other hand, chaotic synchronization is a unique emergent self-organization phenomenon in nature.…

We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in complex networks. We consider two types of time delays: transmission delays between interacting nodes and local delays at each node…

Statistical Mechanics · Physics 2012-12-03 D. Hunt , B. K. Szymanski , G. Korniss

We consider the effect of asymmetric temporal delays in a system of two coupled Hopfield neurons. For couplings of opposite signs, a limit cycle emerges via a supercritical Hopf bifurcation when the sum of the delays reaches a critical…

Biological Physics · Physics 2011-11-10 Sebastian F. Brandt , Axel Pelster , Ralf Wessel

The synchronization of human networks is essential for our civilization, and understanding the motivations, behavior, and basic parameters that govern the dynamics of human networks is important in many aspects of our lives. Human ensembles…

Adaptation and Self-Organizing Systems · Physics 2020-08-26 Shir Shahal , Ateret Wurzberg , Inbar Sibony , Hamootal Duadi , Elad Shniderman , Daniel Weymouth , Nir Davidson , Moti Fridman

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

Synchronization is central to many complex systems in engineering physics (e.g., the power-grid, Josephson junction circuits, and electro-chemical oscillators) and biology (e.g., neuronal, circadian, and cardiac rhythms). Despite these…

Adaptation and Self-Organizing Systems · Physics 2017-01-13 Dane Taylor , Per Sebastian Skardal , Jie Sun

Does synchronization between action potentials from different neurons in the visual system play a substantial role in solving the binding problem? The binding problem can be studied quantitatively in the broader framework of the information…

Biological Physics · Physics 2007-05-23 Simon R. Schultz , Huw D. R. Golledge , Stefano Panzeri

We present a model of synchronization in networks of autonomous agents where the topology changes due to agents motion. We introduce two time scales, one for the topological change and another one for local synchronization. If the former…

Adaptation and Self-Organizing Systems · Physics 2013-05-29 Naoya Fujiwara , Jürgen Kurths , Albert Díaz-Guilera

The subject of this paper is to study conformance checking for timed models, that is, process models that consider both the sequence of events in a process as well as the timestamps at which each event is recorded. Time-aware process mining…

Formal Languages and Automata Theory · Computer Science 2022-07-06 Thomas Chatain , Neha Rino

Numerical experiments recently discussed in the literature show that identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize after a finite time. We study the process of synchronization as function of…

chao-dyn · Physics 2009-10-28 L. Longa , E. M. F. Curado , F. A. Oliveira

When musicians perform in an ensemble, synchronizing to a mutual pace is the foundation of their musical interaction. Clock generators, e.g., metronomes, or drum machines, might assist such synchronization, but these means, in general, will…

Neurons and Cognition · Quantitative Biology 2021-12-07 Simon Linke , Rolf Bader , Robert Mores