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Synchronization processes are ubiquitous despite the many connectivity patterns that complex systems can show. Usually, the emergence of synchrony is a macroscopic observable, however, the microscopic details of the system, as e.g. the…

Physics and Society · Physics 2018-06-08 Lluis Arola-Fernandez , Albert Diaz-Guilera , Alex Arenas

Finding conditions that support synchronization is a fertile and active area of research with applications across multiple disciplines. Here we present and analyze a scheme for synchronizing chaotic dynamical systems by transiently…

Chaotic Dynamics · Physics 2015-08-27 Malte Schröder , Manu Mannattil , Debabrata Dutta , Sagar Chakraborty , Marc Timme

Coupled oscillators, even identical ones, display a wide range of behaviours, among them synchrony and incoherence. The 2002 discovery of so-called chimera states, states of coexisting synchronized and unsynchronized oscillators, provided a…

Adaptation and Self-Organizing Systems · Physics 2021-10-27 Sindre W. Haugland , Anton Tosolini , Katharina Krischer

The brain naturally binds events from different sources in unique concepts. It is hypothesized that this process occurs through the transient mutual synchronization of neurons located in different regions of the brain when the stimulus is…

The interplay of synchronization and topological band structures with symmetry protected midgap states under the influence of driving and dissipation is largely unexplored. Here we consider a trimer chain of electron shuttles, each…

Quantum Physics · Physics 2020-08-18 C. W. Wächtler , V. M. Bastidas , G. Schaller , W. J. Munro

The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several distinct populations. The oscillators in a…

Dynamical Systems · Mathematics 2009-11-13 Ernest Barreto , Brian Hunt , Edward Ott , Paul So

This study examines the synchronization of three identical oscillators arranged in an array and coupled by small impacts, wherein each oscillator interacts solely with its nearest neighbor. The synchronized state, which is asymptotically…

Dynamical Systems · Mathematics 2025-03-11 Jorge Buescu , Emma D'Aniello , Henrique M. Oliveira

We study numerically the behavior of qubit coupled to a quantum dissipative driven oscillator (resonator). Above a critical coupling strength the qubit rotations become synchronized with the oscillator phase. In the synchronized regime, at…

Superconductivity · Physics 2008-01-10 O. V. Zhirov , D. L. Shepelyansky

Oscillation synchronization phenomenon is widely observed in natural systems through frequency modulated signals, especially in biological neural networks. Frequency modulation is also one of most widely used technologies in engineering.…

Optimization and Control · Mathematics 2021-08-17 Zhiyong Chen

Synchronization is crucial for the correct functionality of many natural and man-made complex systems. In this work we characterize the formation of synchronization patterns in networks of Kuramoto oscillators. Specifically, we reveal…

Optimization and Control · Mathematics 2017-09-20 Lorenzo Tiberi , Chiara Favaretto , Mario Innocenti , Danielle S. Bassett , Fabio Pasqualetti

The chaotic dynamics of fractional (non-integer) order systems have begun to attract much attention in recent years. In this paper, we study the projective synchronization in two coupled fractional order chaotic oscillators. It is shown…

Chaotic Dynamics · Physics 2009-11-11 Chunguang Li

Synchronization of forced reactively coupled van der Pol oscillators is investigated in the phase approximation. We discuss essential features of the reactive coupling. Bifurcation mechanisms for the destruction of complete synchronization…

Chaotic Dynamics · Physics 2015-03-11 A. P. Kuznetsov , L. V. Turukina , N. Yu. Chernyshov , Yu. V. Sedova

Cluster synchronization is of paramount importance for the normal functioning of numerous technological and natural systems. Deviations from normal cluster synchronization patterns are closely associated with various malfunctions, such as…

Optimization and Control · Mathematics 2023-08-15 Yuzhen Qin , Alberto Maria Nobili , Danielle S. Bassett , Fabio Pasqualetti

We consider the problem of asymptotic synchronization of different spatial points coupled to each other in inhomogeneous spacetime and undergoing chaotic Mixmaster oscillations towards the singularity. We demonstrate that for couplings…

General Relativity and Quantum Cosmology · Physics 2022-03-16 Spiros Cotsakis

Microresonators are micron-scale optical systems that confine light using total internal reflection. These optical systems have gained interest in the last two decades due to their compact sizes, unprecedented measurement capabilities, and…

We investigate both continuous (second-order) and discontinuous (first-order) transitions to macroscopic synchronization within a single class of discrete, stochastic (globally) phase-coupled oscillators. We provide analytical and numerical…

Statistical Mechanics · Physics 2009-11-13 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

Spontaneous synchronization is a fundamental phenomenon, important in many theoretical studies and applications. Recently this effect has been analyzed and observed in a number of physical systems close to the quantum mechanical regime. In…

Quantum Physics · Physics 2015-06-23 V. Ameri , M. Eghbali-Arani , A. Mari , A. Farace , F. Kheirandish , V. Giovannetti , R. Fazio

A form of "remote synchronization" was recently described wherein amplitude fluctuations across a ring of non-identical, non-linear electronic oscillators become entrained into spatially-structured patterns. According to linear models and…

Chaotic Dynamics · Physics 2018-06-26 Ludovico Minati , Luca Faes , Mattia Frasca , Pawel Oswiecimka , Stanislaw Drozdz

The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena are revealed. At the onset of instability of the…

chao-dyn · Physics 2009-10-31 Zhigang Zheng , Gang Hu , Bambi Hu

Does the assignment order of a fixed collection of slightly distinct subsystems into given communication channels influence the overall ensemble behavior? We discuss this question in the context of complex networks of non-identical…

Adaptation and Self-Organizing Systems · Physics 2015-09-30 Celso Freitas , Elbert Macau , Ricardo Luiz Viana
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