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Systems of nonlocally coupled oscillators can exhibit complex spatio-temporal patterns, called chimera states, which consist of coexisting domains of spatially coherent (synchronized) and incoherent dynamics. We report on a novel form of…

Adaptation and Self-Organizing Systems · Physics 2018-02-02 Iryna Omelchenko , Oleh E. Omel'chenko , Philipp Hövel , Eckehard Schöll

We uncover a novel mechanism for inducing a gapful phase in interacting many-body quantum chains. The mechanism is nonperturbative, being triggered only in the presence of both strong interactions and strong aperiodic (disordered)…

Strongly Correlated Electrons · Physics 2018-09-19 André P. Vieira , José A. Hoyos

The interplay of synchronization and topological band structures with symmetry protected midgap states under the influence of driving and dissipation is largely unexplored. Here we consider a trimer chain of electron shuttles, each…

Quantum Physics · Physics 2020-08-18 C. W. Wächtler , V. M. Bastidas , G. Schaller , W. J. Munro

We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are equal to invariants of the perturbation, the angular…

Statistical Mechanics · Physics 2007-05-23 M. S. Baptista , T. Pereira , J. C. Sartorelli , I. L. Caldas , J. Kurths

The Kuramoto model has shaped our understanding of synchronization in complex systems, yet its phase-only formulation neglects amplitude dynamics that are intrinsic to many oscillatory networks. In this work, we revisit Kuramoto-type…

Dynamical Systems · Mathematics 2026-01-16 Kuan-Wei Chen , Ting-Yang Hsiao

We study synchronization in a system of Stuart-Landau oscillators with frequency-weighted coupling. For three typical unimodal frequency distributions, namely, the Lorentzian, the triangle, and the uniform, we found that the first-order…

Adaptation and Self-Organizing Systems · Physics 2019-04-04 Jiameng Zhang , Xue Li , Yong Zou , Shuguang Guan

We consider the effect of asymmetric temporal delays in a system of two coupled Hopfield neurons. For couplings of opposite signs, a limit cycle emerges via a supercritical Hopf bifurcation when the sum of the delays reaches a critical…

Biological Physics · Physics 2011-11-10 Sebastian F. Brandt , Axel Pelster , Ralf Wessel

The bifurcation structure of coupled periodically driven double-well Duffing oscillators is investigated as a function of the strength of the driving force $f$ and its frequency $\Omega$. We first examine the stability of the steady state…

Chaotic Dynamics · Physics 2015-06-26 Anatole Kenfack

We numerically study the synchronization of two nonidentical pendulum motions, pivoting on a common movable frame in the point of view of the dynamic phase transition. When the difference in the pendulum lengths is not too large, it is…

Statistical Mechanics · Physics 2011-07-14 Il Gu Yi , Hyun Keun Lee , Sung Hyun Jeon , Beom Jun Kim

We prove that time-periodic solutions arise via Hopf bifurcation in a finite closed system of coagulation-fragmentation equations. The system we treat is a variant of the Becker-Doering equations, in which clusters grow or shrink by…

Dynamical Systems · Mathematics 2020-04-22 Robert L. Pego , Juan J. L. Velázquez

We report the emergence of a collective dynamical state, namely phase-flip chimera, from an en- semble of identical nonlinear oscillators that are coupled indirectly via the dynamical variables from a common environment, which in turn are…

Adaptation and Self-Organizing Systems · Physics 2016-08-03 V. K. Chandrasekar , R. Gopal , D. V. Senthilkumar , M. Lakshmanan

We theoretically investigate the dynamical phase diagram of a one-dimensional chain of laser-excited two-species Rydberg atoms. The existence of a variety of unique dynamical phases in the experimentally-achievable parameter region is…

Atomic Physics · Physics 2016-01-20 Jing Qian , Lu Zhang , Jingjing Zhai , Weiping Zhang

Based on the concepts of quantum synchronization and quantum phase synchronization proposed by A. Mari \textit{et al.} in Phys. Rev. Lett. 111, 103605 (2013), we introduce and characterize the measure of a more generalized quantum…

Quantum Physics · Physics 2020-05-13 G. J. Qiao , X. Y. Liu , H. D. Liu , C. F. Sun , X. X. Yi

We study synchronization in large populations of coupled phase oscillators with time-delays, higher order interactions. With each of these effects individually giving rise to bistabiltiy between incoherence and synchronization via a…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Per Sebastian Skardal , Can Xu

This study examines the synchronization of three identical oscillators arranged in an array and coupled by small impacts, wherein each oscillator interacts solely with its nearest neighbor. The synchronized state, which is asymptotically…

Dynamical Systems · Mathematics 2025-03-11 Jorge Buescu , Emma D'Aniello , Henrique M. Oliveira

We evaluate the performance and phase diffusion of trapped $^{87}$Rb atoms in an atom-chip sensor with Ramsey interferometry and Hahn's spin echo in the time and phase domains. We trace out how the phase uncertainty of interference fringes…

Atomic Physics · Physics 2018-09-11 Valentin Ivannikov , Andrei I. Sidorov

Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase coherent hyperchaotic attractors. In this article…

Chaotic Dynamics · Physics 2009-11-11 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

Biological microfilaments exhibit a variety of synchronization modes. Recent experiments observed that a pair of isolated eukaryotic flagella, coupled solely via the fluid medium, display synchrony at nontrivial phase-lags in addition to…

Biological Physics · Physics 2020-10-28 Yi Man , Eva Kanso

We consider a heterogeneous, globally coupled population of excitatory quadratic integrate-and-fire neurons with excitability adaptation due to a metabolic feedback associated with ketogenic diet, a form of therapy for epilepsy. Bifurcation…

Adaptation and Self-Organizing Systems · Physics 2024-05-29 Sebastian Eydam , Igor Franović , Louis Kang

Fluctuations can drive continuous phase transitions between two distinct ordered phases -- so-called deconfined quantum critical points (DQCPs) -- which lie beyond the Landau-Ginzburg-Wilson paradigm. Despite several theoretical predictions…

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