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We study synchronization dynamics in populations of coupled phase oscillators with higher-order interactions and community structure. We find that the combination of these two properties gives rise to a number of states unsupported by…

Adaptation and Self-Organizing Systems · Physics 2023-02-24 Per Sebastian Skardal , Sabina Adhikari , Juan G. Restrepo

Synchronization is an essential collective phenomenon in networks of interacting oscillators. Twisted states are rotating wave solutions in ring networks where the oscillator phases wrap around the circle in a linear fashion. Here, we…

Dynamical Systems · Mathematics 2024-08-06 Christian Bick , Tobias Böhle , Oleh E. Omel'chenko

We examine microscopic mechanisms for coupling stochastic oscillators so that they display similar and correlated temporal variations. Unlike oscillatory motion in deterministic dynamical systems, complete synchronization of stochastic…

Quantitative Methods · Quantitative Biology 2009-09-29 Amitabha Nandi , G. Santhosh , R. K. Brojen Singh , Ram Ramaswamy

This paper micromagnetically studies the magnetization dynamics driven by the spin-Hall effect in a Platinum/Permalloy bi-layer. For a certain field and current range, the excitation of a uniform mode, characterized by a power with a…

In a quasi-1D thermal convective system consisting of a large array of nonlinearly coupled oscillators, clustering is the way to achieve a regime of mostly antiphase synchronized oscillators. This regime is characterized by a spatiotemporal…

Chaotic Dynamics · Physics 2011-03-10 M. A. Miranda , J. Burguete

In this paper, we investigate a resonant system comprising $N$ closely packed spherical resonators ($N>2$). We analyze how the spatial arrangement of these resonators influences the distribution of resonant frequencies, focusing on…

Analysis of PDEs · Mathematics 2025-06-11 Haigang Li , Junhua Zhang

Periodic forcing of an oscillatory system produces frequency locking bands within which the system frequency is rationally related to the forcing frequency. We study extended oscillatory systems that respond to uniform periodic forcing at…

patt-sol · Physics 2009-10-31 Christian Elphick , Aric Hagberg , Ehud Meron

We solve Schr\"odinger equation describing a tunneling macrospin coupled to a torsional oscillator. Energy spectrum is studied for various quantum regimes. Magnetic susceptibility and noise spectrum are computed. We show that entanglement…

Mesoscale and Nanoscale Physics · Physics 2012-01-10 D. A. Garanin , E. M. Chudnovsky

We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Hidetsugu Sakaguchi

Spin Hall nano oscillators (SHNOs) are promising candidates for neuromorphic computing due to their miniaturized dimensions, non-linearity, fast dynamics, and ability to synchronize in long chains and arrays. However, tuning the individual…

Applied Physics · Physics 2024-02-02 Maha Khademi , Akash Kumar , Mona Rajabali , Saroj P. Dash , Johan Åkerman

An active system consisting of many self-spinning dimers is simulated, and a distinct local rotational jamming transition is observed as the density increases. In the low density regime, the system stays in an absorbing state, in which each…

Soft Condensed Matter · Physics 2022-04-29 Rui Liu , Jianxiao Gong , Mingcheng Yang , Ke Chen

This article studies stochastic relative phase stability, i.e., stochastic phase-cohesiveness, of discrete-time phase-coupled oscillators. Stochastic phase-cohesiveness in two types of networks is studied. First, we consider oscillators…

Systems and Control · Electrical Eng. & Systems 2023-08-10 Matin Jafarian , Mohammad H. Mamduhi , Karl H. Johansson

Using measurements of the spectra of microwave-frequency resistance oscillations, we determine the phase diagram of magnetic excitations caused by torques from DC spin-polarized currents in (thin permalloy)/copper/(thick permalloy)…

Vortex based spin torque nano oscillators (STVOs) can present more complex dynamics than the spin torque induced gyrotropic (G) motion of the vortex core. The respective dynamic modes and the transition between them can be controlled by…

A system of symmetrically coupled identical oscillators with phase lag is presented, which is capable of generating a large repertoire of transient (metastable) "chimera" states in which synchronisation and desynchronisation co-exist. The…

Biological Physics · Physics 2013-06-07 Murray Shanahan

We measure the spectral densities of fluctuations of an underdamped nonlinear micromechanical oscillator. By applying a sufficiently large periodic excitation, two stable dynamical states are obtained within a particular range of driving…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Stambaugh , H. B. Chan

The evolution of two-component cold atoms on a ring with quasispin-orbit (qSO) coupling and spin-flip has been studied analytically (for arbitrary particle number $ N $ without interaction) and numerically (for a few-body system with…

Mesoscale and Nanoscale Physics · Physics 2014-06-04 Wen-Fang Xie , C. G. Bao

Nano-constriction spin-Hall nano-oscillators (NC-SHNOs) have garnered considerable interest due to their potential use as efficient and adjustable nano-sized sources of microwave signals, with high-frequency tunability, adaptable design…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 H. Ghanatian , M. Rajabali , R. Khymyn , A. Kumar , V. H. González , H. Farkhani , J. Åkerman , F. Moradi

We address necklace solitons supported by circular waveguide arrays with out-of-phase modulation of nonlinearity and linear refractive index. Such two-dimensional necklace solitons appear as rings of multiple out-of-phase bright spots. We…

The magnetization evolution of the free layer in an orthogonal spin-torque device is studied based on a macrospin model. The trajectory of magnetization vector under various conditions has shown rich nonlinear properties. The phase diagram…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Yuan Hui , Zheng Yang , Hao Yu