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This paper is devoted to the problem of synchronization between fractional-order chaotic systems with Gaussian fluctuation by the method of fractional-order sliding mode control. A fractional integral (FI) sliding surface is proposed for…

混沌动力学 · 物理学 2013-09-05 Yong Xu , Hua Wang

In this paper we investigate dual synchronization and dual-cross synchronization between the transmitter and receiver, each one consisting of two master and slave systems. These findings are considered to be of interest in multichannel…

混沌动力学 · 物理学 2007-05-23 E. M. Shahverdiev , K. A. Shore

We present the first report on chaos synchronization between two unidirectionally linearly and nonlinearly coupled systems with multiple time-delays and using the Razumikhin-Lyapunov approach find the existence and stability conditions for…

混沌动力学 · 物理学 2009-11-10 E. M. Shahverdiev

A prototype model of a stochastic one-variable system with a linear restoring force driven by two cross-correlated multiplicative and additive Gaussian white noises was considered earlier [S. I. Denisov et al., Phys. Rev. E 68, 046132…

统计力学 · 物理学 2016-12-13 A. N. Vitrenko

This paper deals with adaptive synchronization of chaos in the presence of time-varying communication-delays. We consider two bidirectionally coupled systems that seek to synchronize through a signal that each system sends to the other one…

混沌动力学 · 物理学 2015-05-30 Francesco Sorrentino , Pietro De Lellis

We study synchronization properties of general uncoupled limit-cycle oscillators driven by common and independent Gaussian white noises. Using phase reduction and averaging methods, we analytically derive the stationary distribution of the…

适应与自组织系统 · 物理学 2007-05-23 Hiroya Nakao , Kensuke Arai , Yoji Kawamura

Symmetric matrix-valued dynamical systems are an important class of systems that can describe important processes such as covariance/second-order moment processes, or processes on manifolds and Lie Groups. We address here the case of…

最优化与控制 · 数学 2023-10-03 Corentin Briat

From the flashes of fireflies to Josephson junctions and power infrastructure, networks of coupled phase oscillators provide a powerful framework to describe synchronization phenomena in many natural and engineered systems. Most real-world…

适应与自组织系统 · 物理学 2022-03-02 Sherwood Martineau , Tim Saffold , Timothy T. Chang , Henrik Ronellenfitsch

In this paper we present an analytical study on the synchronization dynamics observed in unidirectionally-coupled quasiperiodically-forced systems that exhibit Strange Non-chaotic Attractors (SNA) in their dynamics. The SNA dynamics…

混沌动力学 · 物理学 2016-12-23 G. Sivaganesh , A. Arulgnanam

This paper is devoted to the study of the asymptotic dynamics of a class of coupled second order oscillators driven by white noises. It is shown that any system of such coupled oscillators with positive damping and coupling coefficients…

动力系统 · 数学 2013-11-08 Wenxian Shen , Zhongwei Shen , Shengfan Zhou

The generation and storage of spin squeezing is an attracting topic in quantum metrology and the foundations of quantum mechanics. The major models to realize the spin squeezing are the one- and two-axis twisting models. Here, we consider a…

量子物理 · 物理学 2021-03-10 Qing-Shou Tan , Mao Zhang , Yu Chen , Jie-Qiao Liao , Jing Liu

Previous works have shown that time asymmetric forcing on the one hand, as well as non-Gaussian noises on the other, can separately enhance the efficiency and current of a Brownian motor. Here, we study the result of subjecting a Brownian…

统计力学 · 物理学 2015-05-20 Raishma Krishnan , Horacio S. Wio

The remote synchronization of oscillators is essential for improving the performance, efficiency, and reliability of various systems and technologies, ranging from everyday telecommunications to cutting-edge scientific research and emerging…

Concurrent synchronization is a regime where diverse groups of fully synchronized dynamic systems stably coexist. We study global exponential synchronization and concurrent synchronization in the context of Lagrangian systems control. In a…

最优化与控制 · 数学 2009-05-18 Soon-Jo Chung , Jean-Jacques E. Slotine

We study transport of local magnetization in a Heisenberg spin-1/2 chain at zero temperature. The system is initially prepared in a highly excited pure state far from equilibrium and its evolution is analyzed via exact diagonalization.…

统计力学 · 物理学 2015-05-13 L. F. Santos

The self-consistent Gaussian approximation (SCGA) for classical spin systems described by a completely anisotropic D-component vector model is proposed, which takes into account fluctuations of the molecular field and thus is a next step…

统计力学 · 物理学 2009-10-31 D. A. Garanin

Port-Hamiltonian systems are pertinent representations of many nonlinear physical systems. In this study, we formulate and analyse a general class of stochastic car-following models with a systematic port-Hamiltonian structure. The model…

动力系统 · 数学 2024-06-12 Barbara Rüdiger , Antoine Tordeux , Baris Ugurcan

We study synchronization of nonlinear systems that satisfy an incremental passivity property. We consider the case where the control input is subject to a class of disturbances, including constant and sinusoidal disturbances with unknown…

系统与控制 · 计算机科学 2013-12-24 He Bai , S. Yusef Shafi

The influence that intrinsic local density fluctuations can have on solutions of mean-field reaction-diffusion models is investigated numerically by means of the spatial patterns arising from two species that react and diffuse in the…

其他凝聚态物理 · 物理学 2007-05-23 D. Hochberg , M. -P. Zorzano , F. Moran

The space-time correlation of a passive scalar advected by a Gaussian colored-noise velocity with wavenumber-dependent correlation times and power-law spatial spectra is investigated in the present paper. Within the inertial-convective…

流体动力学 · 物理学 2026-04-09 Long Wang , Guowei He