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The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

Optimization and Control · Mathematics 2012-09-07 Florian Dörfler , Francesco Bullo

We introduce a generic model of weakly non-linear self-sustained oscillator as a simplified tool to study synchronisation in a fluid at low Reynolds number. By averaging over the fast degrees of freedom, we examine the effect of…

Soft Condensed Matter · Physics 2015-06-04 M. Leoni , T. B. Liverpool

Building oscillator based computing systems with emerging nano-device technologies has become a promising solution for unconventional computing tasks like computer vision and pattern recognition. However, simulation and analysis of these…

Emerging Technologies · Computer Science 2016-11-15 Yan Fang , Victor V. Yashin , Donald M. Chiarulli , Steven P. Levitan

Networks of interacting, communicating subsystems are common in many fields, from ecology, biology, epidemiology to engineering and robotics. In the presence of noise and uncertainty, inter- actions between the individual components can…

Statistical Mechanics · Physics 2017-11-01 Ira B. Schwartz , Klimka Szwaykowska , Thomas W. Carr

Feedback optimization is a control paradigm that enables physical systems to autonomously reach efficient operating points. Its central idea is to interconnect optimization iterations in closed-loop with the physical plant. Since iterative…

Optimization and Control · Mathematics 2024-07-16 Zhiyu He , Saverio Bolognani , Jianping He , Florian Dörfler , Xinping Guan

Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase coherent hyperchaotic attractors. In this article…

Chaotic Dynamics · Physics 2009-11-11 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

Experimental observations of typical kinds of synchronization transitions are reported in unidirectionally coupled time-delay electronic circuits with a threshold nonlinearity and two time delays, namely feedback delay $\tau_1$ and coupling…

Chaotic Dynamics · Physics 2011-07-12 Srinivasan. k , Senthilkumar D. V. , Murali. K , Lakshmanan. M , Kurths. J

Phase synchronization refers to a kind of collective phenomenon that the phase difference between two or more systems is locked, and it has widely been investigated between systems with the identical physical properties, such as the…

Quantum Physics · Physics 2020-06-08 Shao-Qiang Ma , Xiao Zheng , Guo-Feng Zhang

This article aims to provide an accessible, tutorial-style introduction to hybrid extremum-seeking systems, which are model-free, feedback-optimization controllers that incorporate hybrid dynamics, meaning both continuous-time and…

Optimization and Control · Mathematics 2025-12-18 Jorge I. Poveda , Andrew R. Teel

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

Optimization and Control · Mathematics 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

The present habilitation thesis in theoretical biological physics addresses two central dynamical processes in cells and organisms: (i) active motility and motility control and (ii) self-organized pattern formation. The unifying theme is…

Cell Behavior · Quantitative Biology 2018-03-21 Benjamin M. Friedrich

This paper addresses important control and observability aspects of the phase synchronization of two oscillators. To this aim a feedback control framework is proposed based on which issues related to master-slave synchronization are…

Chaotic Dynamics · Physics 2018-06-26 Luis Antonio Aguirre , Leandro Freitas

Existence of a new type of oscillating synchronization that oscillates between three different types of synchronizations (anticipatory, complete and lag synchronizations) is identified in unidirectionally coupled nonlinear time-delay…

Chaotic Dynamics · Physics 2007-05-23 D. V. Senthilkumar , M. Lakshmanan

We present a methodology for synchronization of chaotic oscillators with linear feedback control. The proposed method is based on analyzing the chaotic oscillator as a multi-mode linear system and deriving sufficient conditions for…

Chaotic Dynamics · Physics 2019-01-24 Keyur Mistry , Sudeshna Dash , Siddharth Tallur

Biological oscillators coordinate individual cellular components so that they function coherently and collectively. They are typically composed of multiple feedback loops, and period mismatch is unavoidable in biological implementations. We…

Biological Physics · Physics 2013-05-06 Yoshihiko Hasegawa , Masanori Arita

Common models of synchronizable oscillatory systems consist of a collection of coupled oscillators governed by a collection of differential equations. The ubiquitous Kuramoto models rely on an {\em a priori} fixed connectivity pattern…

Populations and Evolution · Quantitative Biology 2020-05-01 Elizabeth A. Tripp , Feng Fu , Scott D. Pauls

The temporal behaviour of segmentation clock oscillations show phase synchrony via mean field like coupling of delta protein restricting to nearest neighbours only, in a configuration of cells arranged in a regular three dimensional array.…

Inspired by Axelrod's model of culture dissemination, we introduce and analyze a model for a population of coupled oscillators where different levels of synchronization can be assimilated to different degrees of cultural organization. The…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 M. N. Kuperman , D. H. Zanette

We study the interplay between non-Hermitian dynamics and phase synchronization in a system of $\mathcal{N}$ bosonic modes coupled to an auxiliary mode. The linearity of the evolution in such a system allows for the derivation of fully…

Quantum Physics · Physics 2021-11-04 J. Rohn , K. P. Schmidt , C. Genes

Spontaneous synchronization is a remarkable collective effect observed in nature, whereby a population of oscillating units, which have diverse natural frequencies and are in weak interaction with one another, evolves to spontaneously…

Adaptation and Self-Organizing Systems · Physics 2018-08-23 Stefano Gherardini , Shamik Gupta , Stefano Ruffo
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