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The presence of noise in non linear dynamical systems can play a constructive role, increasing the degree of order and coherence or evoking improvements in the performance of the system. An example of this positive influence in a biological…

动力系统 · 数学 2016-09-07 M. -P. Zorzano , L. Vazquez

On the example of a quantum oscillator the connection of the dynamical coherent state with the phase symmetry breaking and the existence of the nondissipative motion is considered. In multiparticle systems of interacting particles similar…

量子物理 · 物理学 2024-08-13 Yu. M. Poluektov

The attractors of a dynamical system govern its typical long-term behaviour. The presence of many attractors is significant as it means the behaviour is heavily dependent on the initial conditions. To understand how large numbers of…

动力系统 · 数学 2022-06-20 Sishu Shankar Muni

High frequency stochastic resonance (SR) phenomena, associated with fluctuational transitions between coexisting periodic attractors, have been investigated experimentally in an electronic model of a single-well Duffing oscillator bistable…

The energy transfer between different subsystems or different vibration modes is always one of the most interested problems in the study of the resonance phenomena in coupled nonlinear dynamical systems. With an optomechanical system…

光学 · 物理学 2023-06-12 Qing Lin , Yi Wu , Gang Li , Bing He

We study an extended system that without noise shows a spatially homogeneous state, but when submitted to an adequate multiplicative noise, some "noise-induced patterns" arise. The stochastic resonance between these structures is…

斑图形成与孤子 · 物理学 2013-05-29 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

We consider noise-driven exit from a domain of attraction in a two-dimensional bistable system lacking detailed balance. Through analog and digital stochastic simulations, we find a theoretically predicted bifurcation of the most probable…

数据分析、统计与概率 · 物理学 2008-02-03 D. G. Luchinsky , R. S. Maier , R. Mannella , P. V. E. McClintock , D. L. Stein

The multiple time scale dynamics induced by radiation pressure and photothermal effects in a high-finesse optomechanical resonator is experimentally studied. At difference with two-dimensional slow-fast systems, the transition from the…

介观与纳米尺度物理 · 物理学 2013-05-23 Francesco Marino , Francesco Marin

We have analyzed the interplay between noise and periodic spatial modulations in bistable systems outside equilibrium and found that noise is able to increase the spatial order of the system, giving rise to periodic patterns which otherwise…

统计力学 · 物理学 2016-08-15 J. M. G. Vilar , J. M. Rubí

A novel point of view on the phenomenon of self-pulsations is presented, which shows that they are a balanced state formed by two counteracting processes: beating of modes and bistable switching. A structure based on two coupled nonlinear…

光学 · 物理学 2011-04-20 Victor Grigoriev , Fabio Biancalana

When an integrable two-degrees-of-freedom Hamiltonian system possessing a circle of parabolic fixed points is perturbed, a parabolic resonance occurs. It is proved that its occurrence is generic for one parameter families (co-dimension one…

动力系统 · 数学 2018-04-18 Vered Rom-Kedar

It has been known that noise can suppress multistability by dynamically connecting coexisting attractors in the system which are otherwise in separate basins of attraction. The purpose of this mini-review is to argue that quasiperiodic…

混沌动力学 · 物理学 2017-08-02 Ying-Cheng Lai , Celso Grebogi

Can noise be beneficial to machine-learning prediction of chaotic systems? Utilizing reservoir computers as a paradigm, we find that injecting noise to the training data can induce a stochastic resonance with significant benefits to both…

机器学习 · 计算机科学 2022-11-21 Zheng-Meng Zhai , Ling-Wei Kong , Ying-Cheng Lai

We study an extended system that without noise shows a monostable dynamics, but when submitted to an adequate multiplicative noise, an effective bistable dynamics arise. The stochastic resonance between the attractors of the…

统计力学 · 物理学 2009-11-10 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

It is well-known that the resonance phenomena can destroy the adiabatic invariance and cause chaos and mixing. In the present paper we show that the nonlinear wave-particle resonant interaction may cause the emergence of large-scale…

等离子体物理 · 物理学 2019-02-13 Fan Wu , Dmitri Vainchtein , Anton Artemyev

We demonstrate the phenomenon of stochastic resonance (SR) for discrete-time dynamical systems. We investigate various systems that are not necessarily bistable, but do have two well defined states, switching between which is aided by…

chao-dyn · 物理学 2009-10-30 Prashant M. Gade , Renuka Rai , Harjinder Singh

We show that the dipole, a system usually proposed to model relaxation phenomena, exhibits a maximum in the signal-to-noise ratio at a non-zero noise level, thus indicating the appearance of stochastic resonance. The phenomenon occurs in…

凝聚态物理 · 物理学 2016-08-15 J. M. G. Vilar , A. Pérez-Madrid , J. M. Rubí

Nonlinear systems driven by noise and periodic forces with more than one frequency exhibit the phenomenon of Ghost Stochastic Resonance (GSR) found in a wide and disparate variety of fields ranging from biology to geophysics. The common…

无序系统与神经网络 · 物理学 2015-05-30 Pablo Balenzuela , Holger Braun , Dante R. Chialvo

The coherence between quantum states with different particle numbers --- the Fock-space coherence --- qualitatively differs from the more common Hilbert-space coherence between states with equal particle numbers. For a quantum dot with…

介观与纳米尺度物理 · 物理学 2012-12-19 Eduardo Vaz , Jordan Kyriakidis

Quantum coherence, the physical property underlying fundamental phenomena such as multi-particle interference and entanglement, has emerged as a valuable resource upon which modern technologies are founded. In general, the most prominent…