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Advanced quantum technologies, such as quantum simulation, computation, and metrology are thriving for the implementation of large-scale configurations of identical quantum systems. Sets of atoms and molecules have the advantage of having…

量子物理 · 物理学 2019-05-15 Malte Schlosser , Jens Kruse , Gerhard Birkl

As a means of realizing oscillatory pairing between fermions, we study superfluid pairing between two fermion "spin" species that are confined to adjustable spin-dependent trapping potentials. Focusing on the one-dimensional limit, we find…

量子气体 · 物理学 2011-03-18 Kuei Sun , Julia S. Meyer , Daniel E. Sheehy , Smitha Vishveshwara

Convection in an infinite fluid layer is often modelled by considering a finite box with periodic boundary conditions in the two horizontal directions. The translational invariance of the problem implies that any solution can be translated…

动力系统 · 数学 2019-10-03 Alastair M. Rucklidge

Nonlinear normal modes are periodic orbits that survive in nonlinear many-body Hamiltonian systems, and their instability is crucial for relaxation dynamics. Here, we study the instability process of the $\pi/3$-mode in the…

统计力学 · 物理学 2025-02-06 Weicheng Fu , Zhen Wang , Yong Zhang , Hong Zhao

The behaviors of coupled chaotic oscillators before complete synchronization were investigated. We report three phenomena: (1) The emergence of long-time residence of trajectories besides one of the saddle foci; (2) The tendency that orbits…

混沌动力学 · 物理学 2009-11-11 Bin Ao , Zhigang Zheng

A ferrofluid droplet confined in a Hele-Shaw cell can be deformed into a stably spinning ``gear,'' using crossed magnetic fields. Previously, fully nonlinear simulation revealed that the spinning gear emerges as a stable traveling wave…

斑图形成与孤子 · 物理学 2023-05-19 Zongxin Yu , Ivan C. Christov

Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus, the picture of synchronization in such systems acquires…

混沌动力学 · 物理学 2014-05-06 Yulia P. Emelianova , Valeriy V. Emelyanov , Nikita M. Ryskin

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled identical dynamical units, prevail in a variety of systems. Here, we consider a population of nonlocally coupled bicomponent phase oscillators in which…

适应与自组织系统 · 物理学 2018-08-10 Qionglin Dai , Kai Yang , Hongyan Cheng , Haihong Li , Fagen Xie , Junzhong Yang

We report on a self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators. This chimera, i.e. a state with coexisting regions of complete and partial synchrony, emerges via a supercritical…

斑图形成与孤子 · 物理学 2015-05-18 G. Bordyugov , A. Pikovsky , M. Rosenblum

We demonstrate a non-equilibrium phase transition in a dilute thermal atomic gas. The phase transition, between states of low and high Rydberg occupancy, is induced by resonant dipole-dipole interactions between Rydberg atoms. The gas can…

原子物理 · 物理学 2016-11-04 Christopher Carr , Ralf Ritter , Christopher Wade , Charles S Adams , Kevin J Weatherill

We consider the dynamics of a two-dimensional ordinary differential equation exhibiting a Hopf bifurcation subject to additive white noise and identify three dynamical phases: (I) a random attractor with uniform synchronisation of…

动力系统 · 数学 2018-09-05 Thai Son Doan , Maximilian Engel , Jeroen S. W. Lamb , Martin Rasmussen

Existence of different kinds of synchronizations, namely anticipatory, complete and lag type synchronizations (both exact and approximate), are shown to be possible in time-delay coupled piecewise linear systems. We deduce stability…

混沌动力学 · 物理学 2009-11-11 D. V. Senthilkumar , M. Lakshmanan

We experimentally study the synchronization of two chaotic electronic circuits whose dynamics is relayed by a third parameter-matched circuit, to which they are coupled bidirectionally in a linear chain configuration. In a wide range of…

混沌动力学 · 物理学 2016-08-16 Iacyel Gomes Da Silva , Javier M. Buldú , Claudio R. Mirasso , Jordi García-Ojalvo

Coupled clocks are a classic example of a synchronization system leading to periodic collective oscillations. This phenomenon already attracted the attention of Christian Huygens back in 1665,who described it as a kind of "sympathy" among…

Here we present a system of coupled phase oscillators with nearest neighbors coupling, which we study for different boundary conditions. We concentrate at the transition to total synchronization. We are able to develop exact solutions for…

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…

适应与自组织系统 · 物理学 2015-05-13 Hidetsugu Sakaguchi

The temporal behaviour of segmentation clock oscillations show phase synchrony via mean field like coupling of delta protein restricting to nearest neighbours only, in a configuration of cells arranged in a regular three dimensional array.…

Chimera states for the one-dimensional array of nonlocally coupled phase oscillators in the continuum limit are assumed to be stationary states in most studies, but a few studies report the existence of breathing chimera states. We focus on…

适应与自组织系统 · 物理学 2018-04-24 Yusuke Suda , Koji Okuda

Synchronization, the emergence of spontaneous order in coupled systems, is of fundamental importance in both physical and biological systems. We demonstrate the synchronization of two dissimilar silicon nitride micromechanical oscillators,…

We study the dynamics arising when two identical oscillators are coupled near a Hopf bifurcation where we assume a parameter $\epsilon$ uncouples the system at $\epsilon=0$. Using a normal form for $N=2$ identical systems undergoing Hopf…

动力系统 · 数学 2019-08-08 A. Pérez-Cervera , P. Ashwin , G. Huguet , T. M. Seara , J. Rankin