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We investigate the occurrence of vibrational resonance in both classical and quantum mechanical Morse oscillators driven by a biharmonic force. The biharmonic force consists of two forces of widely different frequencies \omega and \Omega…

Chaotic Dynamics · Physics 2015-06-15 K. Abirami , S. Rajasekar , M. A. F. Sanjuan

We study the overdamped version of two coupled anharmonic oscillators under the influence of both low- and high-frequency forces respectively and a Gaussian noise term added to one of the two state variables of the system. The dynamics of…

Chaotic Dynamics · Physics 2009-11-11 V. M. Gandhimathi , S. Rajasekar , J. Kurths

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…

Chaotic Dynamics · Physics 2009-11-13 K. P. Harikrishnan , G. Ambika

We analyze the vibrational resonance in the Duffing oscillator system in the presence of (i) a gamma distributed time-delayed feedback and (ii) integrative time-delayed (uniformly distributed time delays over a finite interval) feedback.…

Chaotic Dynamics · Physics 2015-04-17 C. Jeevarathinam , S. Rajasekar , M. A. F. Sanjuan

In the present paper the resonances of vibrational modes in one-dimensional random Morse lattice are found and analyzed. The resonance energy exchange is observed at some values of elongation. Resonance $2 \omega_1 = \omega_2$ is…

Chaotic Dynamics · Physics 2008-02-08 T. Yu. Astakhova , N. S. Erikhman , V. N. Likhachev , G. A. Vinogradov

Overlapping fish-scale architectures are among nature's most distinctive surface adaptations, combining protection, contact regulation, hydrodynamics, optical and directional mechanical response within a thin textured integument. Here, we…

Chaotic Dynamics · Physics 2026-04-16 Omid Bateniparvar , Farzan Farahmand , Ranajay Ghosh

The response of dynamical systems to varying conditions and disturbances is a fundamental aspect of their analysis. In spatially extended systems, particularly in pattern-forming systems, there are many possible responses, including…

Pattern Formation and Solitons · Physics 2017-03-02 Yuval R. Zelnik , Ehud Meron , Golan Bel

The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level the system undergoes ordering transitions and demonstrates…

Statistical Mechanics · Physics 2009-11-10 D. Huber , L. S. Tsimring

We consider a single Chua's circuit and a system of a unidirectionally coupled n-Chua's circuits driven by a biharmonic signal with two widely different frequencies \omega and \Omega, where \Omega >> \omega. We show experimental evidence…

Chaotic Dynamics · Physics 2015-06-16 R. Jothimurugan , K. Thamilmaran , S. Rajasekar , M. A. F. Sanjuan

We study the possibility of occurrence of vibrational resonance in a softening Duffing oscillator in the underdamped and overdamped cases both theoretically as well as numerically. The oscillator is driven by two periodic forces.…

Chaotic Dynamics · Physics 2021-07-20 Ivan Skhem Sawkmie , Donrich Kharkongor

In this paper, we present a spatial version of phytoplankton-zooplankton model that includes some important factors such as external periodic forces, noise, and diffusion processes. The spatially extended phytoplankton-zooplankton system is…

Populations and Evolution · Quantitative Biology 2008-05-23 Quan-Xing Liu , Bai-Lian Li , Zhen Jin

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…

We study two uncoupled oscillators, horizontal and vertical, residing in rectilinear polygons (with only vertical and horizontal sides) and impacting elastically from their boundary. The main purpose of the article is to analyze the…

Dynamical Systems · Mathematics 2026-01-05 Krzysztof Frączek

Water availability is a major environmental driver affecting riparian and wetland vegetation. The interaction between water table fluctuations and vegetation in a stochastic environment contributes to the complexity of the dynamics of these…

Populations and Evolution · Quantitative Biology 2012-05-14 Stefania Scarsoglio , Paolo D'Odorico , Francesco Laio , Luca Ridolfi

This study presents numerical simulations of the resonance of a finite-length granular chain of dissipative grains driven by a harmonically vibrated tube. Multiple gradual resonant modes, namely, non-resonance mode, partial-resonance mode,…

Soft Condensed Matter · Physics 2022-07-22 Tengfei Jiao , Shutian Zhang , Min Sun , Decai Huang

Energy harvesting of ambient vibrations using a combination of a mechanical structure (oscillator) and an electrical transducer has become a valuable technique for powering small wireless sensors. Bistable mechanical oscillators have…

Statistical Mechanics · Physics 2021-10-12 Igor A Khovanov

Understanding how the effectiveness of natural photosynthetic energy harvesting systems arises from the interplay between quantum coherence and environmental noise represents a significant challenge for quantum theory. Recently it has begun…

Biological Physics · Physics 2015-06-16 E. K. Irish , R. Gómez-Bombarelli , B. W. Lovett

We propose a nonlinear one-dimensional FitzHugh--Nagumo neuronal model with an asymmetric potential driven by both a high-frequency and a low-frequency signal. Our numerical analysis focuses on the influence of a state-dependent time delay…

Chaotic Dynamics · Physics 2025-01-14 M. Siewe Siewe , S. Rajasekar , Mattia Coccolo , Miguel A. F. Sanjuán

This study deals with vibroacoustics under heavy fluid loading conditions. Considerable attention has been and remains focused on this subject not only because industry is very concerned but also because of mathematical difficulties that…

Classical Physics · Physics 2008-12-10 Pierre-Olivier Mattei

We investigate the role of resonance in finite-amplitude swimming of a flexible flat plate in a viscous fluid. The role of resonance in performance remains unclear for two reasons: i) a lack of definition of resonance for the fully-coupled…

Fluid Dynamics · Physics 2020-03-18 Andres Goza , Daniel Floryan , Clancy Rowley
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