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Networks of coupled nonlinear oscillators have been used to model circadian rhythms, flashing fireflies, Josephson junction arrays, high-voltage electric grids, and many other kinds of self-organizing systems. Recently, several authors have…

Dynamical Systems · Mathematics 2025-10-07 Shriya V. Nagpal , Gokul G. Nair , Steven H. Strogatz , Francesca Parise

Experimental realization and quantitative investigation of common-noise-induced synchronization of limit-cycle oscillations subject to random telegraph signals are performed using an electronic oscillator circuit. Based on our previous…

Adaptation and Self-Organizing Systems · Physics 2009-04-17 Ken Nagai , Hiroya Nakao

A sufficiently connected topology linking the constituent units of a complex system is usually seen as a prerequisite for the emergence of collective phenomena such as synchronization. We present a random network of heterogeneous phase…

Chaotic Dynamics · Physics 2018-11-26 Marco Faggian , Francesco Ginelli , Fernando Rosas , Zoran Levnajić

Due to their nonlinear properties, spin transfer nano-oscillators can easily adapt their frequency to external stimuli. This makes them interesting model systems to study the effects of synchronization and brings some opportunities to…

We consider the problem of output feedback stabilization in linear systems when the measured outputs and control inputs are subject to event-triggered sampling and dynamic quantization. A new sampling algorithm is proposed for outputs which…

Dynamical Systems · Mathematics 2016-09-26 Aneel Tanwani , Christophe Prieur , Mirko Fiacchini

Understanding complex systems which exhibit desynchronization as an emergent property should have important implications, particularly in treating neurological disorders and designing efficient communication networks. Here were demonstrate…

Mathematical Physics · Physics 2012-11-06 J. Borresen , D. Broomhead

The synchronization behavior of networked chaotic oscillators with periodic coupling is investigated. It is observed in simulations that the network synchronizability could be significantly influenced by tuning the coupling frequency, even…

Chaotic Dynamics · Physics 2018-07-18 Sansan Li , Na Sun , Li Chen , Xingang Wang

We investigate the quantum algorithm of Babbush et al. (arXiv:2303.13012v3) for simulating coupled harmonic oscillators, which promises exponential speedups over classical methods. Focusing on linearly connected oscillator chains, we bridge…

This paper addresses the oscillatory synchronization problem for multiple uncertain mechanical systems with a virtual leader, and the interaction topology among them is assumed to contain a directed spanning tree. We propose an adaptive…

Systems and Control · Computer Science 2015-03-18 Hanlei Wang

Synchronization of oscillations is a phenomenon prevalent in natural, social, and engineering systems. Controlling synchronization of oscillating systems is motivated by a wide range of applications from neurological treatment of…

Optimization and Control · Mathematics 2015-03-19 Jr-Shin Li , Isuru Dasanayake , Justin Ruths

Demographic oscillators are individual-based systems exhibiting temporal cycles sustained by the stochastic dynamics of the microscopic interacting particles. We here use the example of coupled predator-prey oscillators to show that…

Adaptation and Self-Organizing Systems · Physics 2008-11-26 Tobias Galla

Phase, frequency, and time synchronization are crucial requirements for many applications, such as multi-static remote sensing and communication systems. Moreover, the synchronization solution becomes even more challenging when the nodes…

Signal Processing · Electrical Eng. & Systems 2020-11-23 Juan Merlano Duncan , Liz Martinez-Marrero , Jorge Querol , Sumit Kumar , Adriano Camps , Symeon Chatzinotas , Bjorn Ottersten

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

By controlling coefficients and decaying order of time-decaying harmonic potentials, the velocity of a quantum particle is decelerated by the effect of harmonic potentials but the particle is non-trapping. In this paper, we consider the…

Mathematical Physics · Physics 2020-04-17 Masaki Kawamoto

We have studied theoretically the basic operation of a quantum feedback loop designed to maintain a desired phase of quantum coherent oscillations in a single solid-state qubit. The degree of oscillations synchronization with external…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Rusko Ruskov , Alexander N. Korotkov

In this work, we study the synchronization of coupled phase oscillators on the underlying topology of scale-free networks. In particular, we assume that each network's component is an oscillator and that each interacts with the others…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Amalio F. Pacheco

A network of chaotic systems can be designed in such a way that the cluster patterns formed by synchronous nodes can be controlled through the coupling parameters. We present a novel approach to exploit such a network for covert…

Information Theory · Computer Science 2023-12-11 Zekeriya Sarı , Serkan Günel

Phase-coupled oscillators serve as paradigmatic models of networks of weakly interacting oscillatory units in physics and biology. The order parameter which quantifies synchronization was so far found to be chaotic only in systems with…

Chaotic Dynamics · Physics 2011-12-12 Christian Bick , Marc Timme , Danilo Paulikat , Dirk Rathlev , Peter Ashwin

We study synchronization in a two-node network built out of the smallest possible self-sustained oscillator: a spin 1. We first demonstrate that phase locking between the quantum oscillators can be achieved, even for limit cycles that…

Quantum Physics · Physics 2018-08-09 Alexandre Roulet , Christoph Bruder

After decades of study, there are only two known mechanisms to induce global synchronization in a population of oscillators: deterministic coupling and common forcing. The inclusion of independent random forcing in these models typically…

Adaptation and Self-Organizing Systems · Physics 2023-03-31 Jeremy Worsfold , Tim Rogers
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