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Over the past two decades, vibrational resonance has garnered significant interest and evolved into a prominent research field. Classical vibrational resonance examines the response of a nonlinear system excited by two signals: a weak,…

适应与自组织系统 · 物理学 2024-03-19 Jianhua Yang , S. Rajasekar , Miguel A. F. Sanjuan

Many physical, chemical and biological processes rely on intrinsic oscillations to employ resonance responses to external stimuli of certain frequency. Such resonance phenomena in biological systems are typically explained by one of two…

Vibrational resonance focuses on the resonance behavior of a nonlinear system when it is subjected to both a weak low-frequency characteristic signal and a high-frequency auxiliary signal. A traditional Duffing system has a fixed natural…

适应与自组织系统 · 物理学 2026-01-13 Zhongqiu Wan , Jianhua Yang , Feng Tian , Huatao Chen , Miguel A. F. Sanjuán

Previous studies have shown that noise can induce coherence resonance in some nonlinear dynamical systems close to a bifurcation of a periodic motion, such as in excitable systems. We demonstrate that coherence resonance can be observed in…

混沌动力学 · 物理学 2007-05-23 Bambi Hu , Changsong Zhou

Inverse stochastic resonance comprises a nonlinear response of an oscillatory system to noise where the frequency of noise-perturbed oscillations becomes minimal at an intermediate noise level. We demonstrate two generic scenarios for…

适应与自组织系统 · 物理学 2020-04-22 Iva Bačić , Igor Franović

Chaos is a fundamental phenomenon in nonlinear dynamics, manifesting as irregular and unpredictable behavior across various physical systems. Among the diverse routes to chaos, intermittent chaos is a distinct transition pathway,…

Superoscillations, i.e., the phenomenon that a bandlimited function can temporary oscillate faster than its highest Fourier component, are being much discussed for their potential for `superresolution' beyond the diffraction limit. Here, we…

量子物理 · 物理学 2015-10-16 Achim Kempf , Angus Prain

Resonance, defined as the oscillation of a system when the temporal frequency of an external stimulus matches a natural frequency of the system, is important in both fundamental physics and applied disciplines. However, the spatial…

介观与纳米尺度物理 · 物理学 2016-06-16 Zhenyu Wang , Mingzhe Li , Ruifang Wang

First return maps of interspike intervals for biological neurons that generate repetitive bursts of impulses can display stereotyped structures (neuronal signatures). Such structures have been linked to the possibility of multicoding and…

神经元与认知 · 定量生物学 2015-06-22 Bóris Marin , Reynaldo Daniel Pinto , Robert C Elson , Eduardo Colli

The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled…

chao-dyn · 物理学 2009-10-31 Sitabhra Sinha

The effects of perturbation of a weak periodic signal (WPS) assisted by noise or a high frequency signal (HFS) respectively on an excitable uni-junction transistor relaxation oscillator (UJT-RO) is presented here. When the perturbation by a…

适应与自组织系统 · 物理学 2017-04-05 Ajit Mahata , Md Nurujjaman , Utpal Deka

We theoretically describe how weak signals may be efficiently transmitted throughout more than one frequency range in noisy excitable media by kind of stochastic multiresonance. This serves us here to reinterpret recent experiments in…

数据分析、统计与概率 · 物理学 2015-05-27 J. J. Torres , J. Marro , J. F. Mejias

Nonlinear dynamical systems possessing reflection symmetry have an invariant subspace in the phase space. The dynamics within the invariant subspace can be random or chaotic. As a system parameter changes, the motion transverse to the…

混沌动力学 · 物理学 2007-05-23 Changsong Zhou , C. -H. Lai

The purpose of this paper to analyze in some detail the arguably simplest case of diversity-induced reseonance: that of a system of globally-coupled linear oscillators subjected to a periodic forcing. Diversity appears as the parameters…

适应与自组织系统 · 物理学 2009-12-22 Raul Toral , Emilio Hernandez-Garcia , James D. Gunton

We consider a model of a square-wave bursting neuron residing in the regime of tonic spiking. Upon introduction of small stochastic forcing, the model generates irregular bursting. The statistical properties of the emergent bursting…

适应与自组织系统 · 物理学 2008-11-11 Pawel Hitczenko , Georgi S. Medvedev

We investigate energy transfer and localization in a linear time-invariant oscillator chain weakly coupled to a forced nonlinear actuator. Two types of perturbation are studied: (1) harmonic forcing with a constant frequency is applied to…

斑图形成与孤子 · 物理学 2015-01-06 Agnessa Kovaleva

The phenomenon of sequential vibrational resonance existed in a multistable system that is excited by both high- and low-frequency signals is reported. By the method of direct separation of motions, the theoretical investigation on…

混沌动力学 · 物理学 2011-06-20 J. H. Yang , X. B. Liu

This work presents a new coupled array of frequency-adaptive Duffing oscillators. Based on learning rules, the natural frequency of each oscillator changes with the external excitation to achieve the frequency-adaptive capability in the…

适应与自组织系统 · 物理学 2026-01-16 Jianhua Yang , Litai Lou , Shangyuan Li , Zhongqiu Wang , Miguel A. F. Sanjuán

We undertake a detailed numerical study of the twin phenomena of stochastic and vibrational resonance in a discrete model system in the presence of bichromatic input signal. A two parameter cubic map is used as the model that combines the…

混沌动力学 · 物理学 2009-11-13 K. P. Harikrishnan , G. Ambika

We study experimentally and theoretically the phenomenon of persistent response in ultra-strongly driven membrane resonators. This term denotes the development of a vibrating state with nearly constant amplitude over an extreme wide…

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