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Chaotic oscillators have gained significant attention in the research community because of their ability to reproduce and investigate the complex dynamics of real-world phenomena. Recent advances in the design of chaotic oscillator…

Chaotic Dynamics · Physics 2026-03-19 Toni Ivas , Georgios Violakis , Roland Richter , Patrik Hoffmann , Sergey Shevchik

The control of network-coupled nonlinear dynamical systems is an active area of research in the nonlinear science community. Coupled oscillator networks represent a particularly important family of nonlinear systems, with applications…

Adaptation and Self-Organizing Systems · Physics 2016-08-03 Per Sebastian Skardal , Alex Arenas

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

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

A system of symmetrically coupled identical oscillators with phase lag is presented, which is capable of generating a large repertoire of transient (metastable) "chimera" states in which synchronisation and desynchronisation co-exist. The…

Biological Physics · Physics 2013-06-07 Murray Shanahan

In this article I investigate the novel synchronization behaviors of evolving pulse-coupled oscillator networks. Unlike previous models, the time-varying mechanism is inspired by neural network development, where seldom used links die out…

Chaotic Dynamics · Physics 2014-04-15 Yuanzhao Zhang

The increasing resource demands of artificial neural networks have prompted the exploration of novel platforms better suited for machine learning. In this context, phase oscillators represent a promising candidate due to their intrinsic…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Andrea Gaspari , Rémi Avriller , Florian Marquardt , Fabio Pistolesi

Synchronization of coupled oscillators is observed at multiple levels of neural systems, and has been shown to play an important function in visual perception. We propose a computing system based on locally coupled oscillator networks for…

Computer Vision and Pattern Recognition · Computer Science 2014-09-24 Yan Fang , Matthew J. Cotter , Donald M. Chiarulli , Steven P. Levitan

Oscillators coupled in a network can synchronize with each other to yield a coherent population rhythm. If multiple such networks are coupled together, the question arises whether these rhythms will synchronize. We investigate the impact of…

Adaptation and Self-Organizing Systems · Physics 2016-12-22 John Hongyu Meng , Hermann Riecke

We describe the use of quasiperiodic oscillators for computation and control of robots. We also describe their relationship to central pattern generators in simple organisms and develop a group theory for describing the dynamics of these…

Robotics · Computer Science 2007-05-23 E. A. Rietman , R. W. Hillis

Different types of synchronization states are found when non-linear chemical oscillators are embedded into an active medium that interconnects the oscillators but also contributes to the system dynamics. Using different theoretical tools,…

Adaptation and Self-Organizing Systems · Physics 2021-03-09 David García-Selfa , Gourab Ghoshal , Christian Bick , Juan Pérez-Mercader , Alberto P. Muñuzuri

This study investigates remote synchronization in arbitrary network clusters of coupled nonlinear oscillators, a phenomenon inspired by neural synchronization in the brain. Employing a multi-faceted approach encompassing analytical,…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Sanjeev Kumar Pandey , Neetish Patel

This paper deals with the chaotic oscillator synchronization. A new approach to the synchronization of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii

We study numerically synchronization phenomena of spatiotemporal structures, including chimera states, in a two layer network of nonlocally coupled nonlinear chaotic discrete-time systems. Each of the interacting ensembles represents a one…

Adaptation and Self-Organizing Systems · Physics 2018-02-09 Andrei V. Bukh , Galina I. Strelkova , Vadim S. Anishchenko

In the circuit of two thermally coupled VO2 oscillators, we studied a higher order synchronization effect, which can be used in object classification techniques to increase the number of possible synchronous states of the oscillator system.…

Neural and Evolutionary Computing · Computer Science 2020-07-30 Andrei Velichko , Vadim Putrolaynen , Maksim Belyaev

Experimental study on noise-induced synchronization of crystal oscillators is presented. Two types of circuits were constructed: one consists of two Pierce oscillators that were isolated from each other and received a common noise input,…

Adaptation and Self-Organizing Systems · Physics 2018-08-31 Kazuyoshi Ishimura , Isao T. Tokuda

Synchronization, the emergence of spontaneous order in coupled systems, is of fundamental importance in both physical and biological systems. We demonstrate the synchronization of two dissimilar silicon nitride micromechanical oscillators,…

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

Populations of flashing fireflies, claps of applauding audience, cells of cardiac and circadian pacemakers reach synchrony via event-triggered interactions, referred to as pulse couplings. Synchronization via pulse coupling is widely used…

Systems and Control · Computer Science 2017-10-16 Anton V. Proskurnikov , Ming Cao

We present and experimentally demonstrate a technique for achieving and maintaining a global state of identical synchrony of an arbitrary network of chaotic oscillators even when the coupling strengths are unknown and time-varying. At each…