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We show that dynamical clustering, where a system segregates into distinguishable subsets of synchronized elements, and chimera states, where differentiated subsets of synchronized and desynchronized elements coexist, can emerge in networks…

Adaptation and Self-Organizing Systems · Physics 2021-02-12 M. G. Cosenza , O. Alvarez-Llamoza , A. V. Cano

We consider a flocking system confined transversally between two infinite reflecting parallel walls separated by a distance $L_\perp$. Infinite or periodic boundary conditions are assumed longitudinally to the direction of collective…

Soft Condensed Matter · Physics 2024-05-09 Leonardo Lenzini , Giuseppe Fava , Francesco Ginelli

From rhythmic physiological processes to the collective behaviors of technological and natural networks, coherent phases of interacting oscillators are the foundation of the events' coordination leading a system to behave cooperatively. We…

Chaotic Dynamics · Physics 2016-11-15 H. Bi , X. Hu , S. Boccaletti , X. Wang , Y. Zou , Z. Liu , S. Guan

We study the emerging collective states in a simple mechanical model of a dense group of self-propelled polar disks with off-centered rotation, confined within a circular arena. Each disk presents self-alignment towards the sum of contact…

Soft Condensed Matter · Physics 2026-04-15 Weizhen Tang , Yating Zheng , Amir Shee , Guozheng Lin , Zhangang Han , Pawel Romanczuk , Cristián Huepe

We investigate the origin of frequency clusters - states where multiple groups of oscillators with distinct mean frequencies coexist. We use the Kuramoto model with inertia, where identical oscillators are globally coupled. First, we study…

Adaptation and Self-Organizing Systems · Physics 2026-05-08 Yannick Schöhs , Nicolas Thomé , Katharina Krischer

We report the phenomenon of frequency clustering in a network of Hodgkin-Huxley neurons with spike timing-dependent plasticity. The clustering leads to a splitting of a neural population into a few groups synchronized at different…

Adaptation and Self-Organizing Systems · Physics 2019-12-20 Vera Röhr , Rico Berner , Ewandson L. Lameu , Oleksandr V. Popovych , Serhiy Yanchuk

We study synchronization and noise-induced resonance phenomena in systems of globally coupled oscillators, each possessing finite inertia. The behavior of the order parameter, which measures collective synchronization of the system, is…

Statistical Mechanics · Physics 2009-10-31 H. Hong , M. Y. Choi

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

We report on a new type of chimera state that attracts almost all initial conditions and exhibits power-law switching behavior in networks of coupled oscillators. Such switching chimeras consist of two symmetric configurations, which we…

Disordered Systems and Neural Networks · Physics 2020-02-28 Yuanzhao Zhang , Zachary G. Nicolaou , Joseph D. Hart , Rajarshi Roy , Adilson E. Motter

A semi-analytical approach to atomic waveguide scattering for harmonic confinement is developed taking into account all partial waves. As a consequence $\ell$-wave confinement-induced resonances are formed being coupled to each other due to…

Quantum Gases · Physics 2015-06-05 P. Giannakeas , F. K. Diakonos , P. Schmelcher

We report the synchronization behavior in a one-dimensional chain of identical limit cycle oscillators coupled to a mass-spring load via a force relation. We consider the effect of periodic parametric modulation on the final synchronization…

Chaotic Dynamics · Physics 2015-05-13 E. Y. Shchekinova

We study an intricate mechanism of pattern formation in globally coupled heterogeneous oscillatory media. In anodic electrochemical etching of silicon, the electrode surface splits into two amplitude-phase regions, while all oscillators…

Pattern Formation and Solitons · Physics 2025-12-16 Nicolas Thomé , Yukiteru Murakami , Katharina Krischer

We consider two coupled phase oscillators in the presence of proportional ("common") and independent white noises. The global synchronization properties of the system are analytically studied via the Fokker-Planck equation. When the…

Exactly Solvable and Integrable Systems · Physics 2008-11-19 David Garcia-Alvarez , Alireza Bahraminasab , Aneta Stefanovska , Peter V. E. McClintock

We present a detailed analysis of a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling. We study the model for the mean field case of all-to-all coupling, deriving results for the…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 M. C. Cross , J. L. Rogers , Ron Lifshitz , A. Zumdieck

We analyze a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling motivated by the physics of arrays of nanoscale oscillators. We study the model for the mean field case of…

Other Condensed Matter · Physics 2009-11-10 M. C. Cross , A. Zumdieck , Ron Lifshitz , J. L. Rogers

An effective method for ultrafast magnetization reversal of nanoclusters is suggested. The method is based on coupling a nanocluster to a resonant electric circuit. This coupling causes the appearance of a magnetic feedback field acting on…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 V. I. Yukalov , E. P. Yukalova

We present an experimental study on the collective behavior of macroscopic self-propelled particles that are externally excited by light. This property allows testing the system response to the excitation intensity in a very versatile…

Soft Condensed Matter · Physics 2025-09-03 Sára Lévay , Axel Katona , Hartmut Löwen , Raúl Cruz Hidalgo , Iker Zuriguel

The normal modes for three to seven particle two-dimensional (2D) dust clusters in a complex plasma are investigated using an N-body simulation. The ion wakefield downstream of each particle is shown to induce coupling between horizontal…

Plasma Physics · Physics 2014-06-25 Ke Qiao , Jie Kong , Eric Van Oeveren , Lorin S. Matthews , Truell W. Hyde

We study how the coherence of noisy oscillations can be optimally enhanced by external locking. Basing on the condition of minimizing the phase diffusion constant, we find the optimal forcing explicitly in the limits of small and large…

Chaotic Dynamics · Physics 2015-08-19 Arkady Pikovsky

The emergence of clustering and coarsening in crowded ensembles of self-propelled agents is studied using a lattice model in one-dimension. The persistent exclusion process, where particles move at directions that change randomly at a low…

Statistical Mechanics · Physics 2016-08-24 Nestor Sepulveda , Rodrigo Soto
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