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We employ a quantum trajectory approach to characterize synchronization and phase-locking between open quantum systems in nonequilibrium steady states. We exemplify our proposal for the paradigmatic case of two quantum Van der Pol…

Quantum Physics · Physics 2020-05-12 Najmeh Es'haqi-Sani , Gonzalo Manzano , Roberta Zambrini , Rosario Fazio

We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the oscillators at special times, and analyzing whether…

Statistical Mechanics · Physics 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

Synchronization is the process of achieving identical dynamics among coupled identical units. If the units are different from each other, their dynamics cannot become identical; yet, after transients, there may emerge a functional…

Chaotic Dynamics · Physics 2016-11-09 Aditya Tandon , Malte Schröder , Manu Mannattil , Marc Timme , Sagar Chakraborty

Synchronization, in which individual dynamical units keep in pace with each other in a decentralized fashion, depends both on the dynamical units and on the properties of the interaction network. Yet, the role played by the network has…

Disordered Systems and Neural Networks · Physics 2010-06-15 Takashi Nishikawa , Adilson E. Motter

Some of the most enduring questions in physics--including the quantum measurement problem and the quantization of gravity--involve the interaction of a quantum system with a classical environment. Two linearly coupled harmonic oscillators…

Quantum Physics · Physics 2007-05-23 Rachael M. McDermott , Ian H. Redmount

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

Spontaneous synchronization has long served as a paradigm for behavioral uniformity that can emerge from interactions in complex systems. When the interacting entities are identical and their coupling patterns are also identical, the…

Disordered Systems and Neural Networks · Physics 2016-12-30 Takashi Nishikawa , Adilson E. Motter

Synchronization, that occurs both for non-chaotic and chaotic systems, is a striking phenomenon with many practical implications in natural phenomena. However, even before synchronization, strong correlations occur in the collective…

Adaptation and Self-Organizing Systems · Physics 2022-01-14 Carlos Aguirre , R. Vilela Mendes

We study, both analytically and numerically, the dynamics of mechanical oscillators kept in motion by a feedback force, which is generated electronically from a signal produced by the oscillators themselves. This kind of self-sustained…

Adaptation and Self-Organizing Systems · Physics 2015-06-15 Sebastian I. Arroyo , Damian H. Zanette

Synchronization phenomena are pervasive in biology. In neuronal networks, the mechanisms of synchronization have been extensively studied from both physiological and computational viewpoints. The functional role of synchronization has also…

Neurons and Cognition · Quantitative Biology 2009-06-18 Nicolas Tabareau , Jean-Jacques Slotine , Quang-Cuong Pham

It is desirable to observe synchronization of quantum systems in the quantum regime, defined by low number of excitations and a highly non-classical steady state of the self-sustained oscillator. Several existing proposals of observing…

Synchronization of an ensemble of oscillators is an emergent phenomenon present in several complex systems, ranging from social and physical to biological and technological systems. The most successful approach to describe how coherent…

Adaptation and Self-Organizing Systems · Physics 2016-01-19 Francisco A. Rodrigues , Thomas K. DM. Peron , Peng Ji , Jürgen Kurths

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

Quantum synchronization has been a subject of intensive research in the last decade. In this work, we propose a quantum Li\'enard system whose classical equivalent features two limit cycles to one of which the system will converge. In the…

Quantum Physics · Physics 2025-08-15 Tobias Kehrer , Christoph Bruder , Parvinder Solanki

Many real-world complex systems rely on cluster synchronization to function properly. A cluster of nodes exhibits synchronous behavior while others behave erratically. Predicting the emergence of these clusters and understanding the…

Adaptation and Self-Organizing Systems · Physics 2023-09-19 Rodrigo M. Corder , Zheng Bian , Tiago Pereira , Antonio Montalban

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

We consider the problem of maximizing the synchronizability of oscillator networks by assigning weights and directions to the links of a given interaction topology. We first extend the well-known master stability formalism to the case of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Takashi Nishikawa , Adilson E. Motter

The synchronization of loosely coupled chaotic oscillators, a phenomenon investigated intensively for the last two decades, may realize the philosophical notion of synchronicity. Effectively unpredictable chaotic systems, coupled through…

Chaotic Dynamics · Physics 2015-03-17 Gregory S. Duane

In many natural synchronization phenomena, communication between individual elements occurs not directly, but rather through the environment. One of these instances is bacterial quorum sensing, where bacteria release signaling molecules in…

Dynamical Systems · Mathematics 2015-05-18 Giovanni Russo , Jean-Jacques E. Slotine

Research on synchronization of coupled oscillators has helped explain how uniform behavior emerges in populations of non-uniform systems. But explaining how uniform populations engage in sustainable non-uniform synchronization may prove to…

Chaotic Dynamics · Physics 2010-03-15 Adilson E. Motter
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