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We report an experimental study of phase-synchronization in a pair of interacting nuclear spins subjected to an external drive in nuclear magnetic resonance architecture. A weak transition-selective radio-frequency field applied on one of…

Quantum Physics · Physics 2022-06-22 V. R. Krithika , Parvinder Solanki , Sai Vinjanampathy , T. S. Mahesh

Numerous biological and microscale systems exhibit synchronization in noisy environments. The theory of such noisy oscillators and their synchronization has been developed and experimentally demonstrated, but inferring the noise intensity…

Adaptation and Self-Organizing Systems · Physics 2025-01-09 Hisa-Aki Tanaka , Somei Suga , Akira Keida , Hiroya Nakao , Yutaka Jitsumatsu , István Z. Kiss

Synchronization, which is caused by mutual coupling, and turnover, which is the replacement of old components with new ones, are observed in various open systems consisting of many components. Although these phenomena can co-occur, the…

Adaptation and Self-Organizing Systems · Physics 2026-03-06 Ayumi Ozawa , Hiroshi Kori

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

The Kuramoto model captures various synchronization phenomena in biological and man-made systems of coupled oscillators. It is well-known that there exists a critical coupling strength among the oscillators at which a phase transition from…

Dynamical Systems · Mathematics 2011-05-06 Florian Dorfler , Francesco Bullo

We theoretically describe macroscopic quantum synchronization effects occurring in a network of all-to-all coupled quantum limit-cycle oscillators. The coupling causes a transition to synchronization as indicated by the presence of global…

Quantum Physics · Physics 2023-11-09 Tobias Nadolny , Christoph Bruder

Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems via the architecture of their attractors and basins, we investigate the patterns of switching between qualitatively distinct trajectories in a…

Adaptation and Self-Organizing Systems · Physics 2016-09-02 Jeffrey Emenheiser , Airlie Chapman , Márton Pósfai , James P. Crutchfield , Mehran Mesbahi , Raissa M. D'Souza

We study synchronization in the XX qubit chain subject to local or multi-local amplitude-damping noise. Analyzing the decoherence-free subspace (DFS) structure of the model, we show that it is completely determined by a simple…

Quantum Physics · Physics 2026-04-22 B. Çakmak , K. Sümer , S. Campbell , G. Karpat

We consider the inertial Kuramoto model of $N$ globally coupled oscillators characterized by both their phase and angular velocity, in which there is a time delay in the interaction between the oscillators. Besides the academic interest, we…

Adaptation and Self-Organizing Systems · Physics 2020-05-29 David Métivier , Lucas Wetzel , Shamik Gupta

We study synchronization of sinusoidally coupled phase oscillators on networks with modular structure and a large number of oscillators in each community. Of particular interest is the hierarchy of local and global synchrony, i.e.,…

Chaotic Dynamics · Physics 2012-01-19 Per Sebastian Skardal , Juan G. Restrepo

We study the relationship between the collective phenomena of super and subradiance and spontaneous synchronization of quantum systems. To this aim we revisit the case of two detuned qubits interacting through a pure dissipative bosonic…

Quantum Physics · Physics 2017-04-17 B. Bellomo , G. L. Giorgi , G. M. Palma , R. Zambrini

Numerical and experimental evidence is presented to show that many phase synchronized systems of non-identical chaotic oscillators, where the chaotic state is reached through a period-doubling cascade, show rapid convergence of the…

Statistical Mechanics · Physics 2009-11-10 Jörn Davidsen , István Z. Kiss , John L. Hudson , Raymond Kapral

We study the dynamical behavior of an ensemble of oscillators interacting through short range bidirectional pulses. The geometry is 1D with periodic boundary conditions. Our interest is twofold. To explore the conditions required to reach…

Statistical Mechanics · Physics 2015-06-25 A. Diaz-Guilera , C. J. Perez-Vicente , A. Arenas

We investigate quantum synchronization phenomenon within the complex network constituted by coupled optomechanical systems and prove the unknown identical quantum states can be shared or distributed in the quantum network even though the…

Quantum Physics · Physics 2017-03-08 Wenlin Li , Chong Li , Heshan Song

It is widely held that identical systems tend to behave similarly under comparable conditions. Yet, for systems that interact through a network, symmetry breaking can lead to scenarios in which this expectation does not hold. Prominent…

Pattern Formation and Solitons · Physics 2025-09-24 Jorge Luis Ocampo-Espindola , Christian Bick , Adilson E. Motter , István Z. Kiss

A model for synchronization of globally coupled phase oscillators including ``inertial'' effects is analyzed. In such a model, both oscillator frequencies and phases evolve in time. Stationary solutions include incoherent (unsynchronized)…

Condensed Matter · Physics 2009-10-31 J. A. Acebron , L. L. Bonilla , R. Spigler

We numerically study a directed small-world network consisting of attractively coupled, identical phase oscillators. While complete synchronization is always stable, it is not always reachable from random initial conditions. Depending on…

Disordered Systems and Neural Networks · Physics 2015-03-13 Ralf Toenjes , Naoki Masuda , Hiroshi Kori

Synchronization is a hallmark of collective behavior in classical nonlinear systems, yet its realization as a robust many-body phenomenon in coherent quantum systems remains largely unexplored. Here we demonstrate symmetry-protected quantum…

Quantum Physics · Physics 2026-03-13 Kazuya Shinjo , Kazuhiro Seki , Seiji Yunoki

This study investigates the synchronization dynamics of coupled-oscillator systems in which some of the oscillators are damaged and lose their autonomous oscillations. The damaged elements are modeled using damped oscillators; thus, the…

Adaptation and Self-Organizing Systems · Physics 2025-11-18 Shota Inagawa , Hiroki Hata , Shigefumi Hata

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
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