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Related papers: Modeling cochlear two-tone suppression using a sys…

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Motivated by the aim to find new medical strategies to suppress undesirable neural synchronization we study the control of oscillations in a system of inhibitory coupled noisy oscillators. Using dynamical properties of inhibition, we find…

Disordered Systems and Neural Networks · Physics 2009-05-27 C. J. Tessone , E. Ullner , A. A. Zaikin , J. Kurths , R. Toral

We report our investigation on the input signal amplification in unidirectionally coupled monostable Duffing oscillators in one- and two-dimensions with first oscillator alone driven by a weak periodic signal. Applying a perturbation theory…

Chaotic Dynamics · Physics 2014-04-23 S. Rajamani , S. Rajasekar

A nonlinear nonlocal cochlear model of the transmission line type is studied in order to capture the multitone interactions and resulting tonal suppression effects. The model can serve as a module for voice signal processing, it is a one…

Pattern Formation and Solitons · Physics 2015-06-26 Jack Xin , Yingyong Qi , Li Deng

A two space dimensional active nonlinear nonlocal cochlear model is formulated in the time domain to capture nonlinear hearing effects such as compression, multi-tone suppression and difference tones. The micromechanics of the basilar…

Quantitative Methods · Quantitative Biology 2010-07-07 M. Drew LaMar , J. Xin , Y. Qi

Since the seminal work by H.L.F. Helmholtz in 1863, to understand the basic principles of hearing has been a great, but still unresolved, challenge for physicists. Some time ago, it has been pointed out (Egu\'{\i}luz et al., Phys. Rev.…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Stoop , A. Kern

In response to a sound stimulus, the inner ear emits sounds called otoacoustic emissions. While the exact mechanism for the production of otoacoustic emissions is not known, active motion of individual hair cells is thought to play a role.…

Pattern Formation and Solitons · Physics 2009-11-13 K. A. Montgomery

Quenching of oscillations, namely amplitude and oscillations death, is an emerging phenomenon exhibited by many real-world complex systems. Here, we introduce a scheme that combines dissimilar couplings and repulsive feedback links for the…

Adaptation and Self-Organizing Systems · Physics 2022-11-08 Subhasanket Dutta , Omar Alamoudi , Yash Shashank Vakilna , Sandipan Pati , Sarika Jalan

A mathematical model describing the coupling between two independent amplification mechanisms in auditory hair cells is proposed and analyzed. Hair cells are cells in the inner ear responsible for translating sound-induced mechanical…

Pattern Formation and Solitons · Physics 2009-11-13 K. A. Montgomery , M. Silber , S. A. Solla

The cochlea's capacity to process a broad range of sound intensities has been linked to nonlinear amplification by critical oscillators. However, while the increasing sensitivity of a critical oscillator upon decreasing the stimulus…

Biological Physics · Physics 2025-12-16 Henri Ver Hulst , Carles Blanch Mercader , Frank Jülicher , Pascal Martin

The aim of this paper is to understand the behaviour of a large number of coupled subwavelength resonators. We use layer potential techniques in combination with numerical computations to study the acoustic pressure field due to scattering…

Analysis of PDEs · Mathematics 2019-10-03 Habib Ammari , Bryn Davies

Using the model of a generalized Van der Pol oscillator in the regime of subcritical Hopf bifurcation we investigate the influence of time delay on noise-induced oscillations. It is shown that for appropriate choices of time delay either…

Chaotic Dynamics · Physics 2015-06-23 V. Semenov , A. Feoktistov , T. Vadivasova , E. Schöll , A. Zakharova

We investigate the collective signal response of two typical nonlinear dynamical models, the mean-field coupled overdamped bistable oscillators and the underdamped Duffing oscillators, with respect to both the additive Ornstein-Uhlenbeck…

Biological Physics · Physics 2025-02-28 Cong Liu , Xin-Ze Song , Zhi-Xi Wu , Guo-Yong Yuan

The problem of structured noise suppression is addressed by i)modelling the subspaces hosting the components of the signal conveying the information and ii)applying a non-extensive nonlinear technique for effecting the right separation.…

Mathematical Physics · Physics 2015-05-13 Zhiqiang Xu , Laura Rebollo-Neira , A. Plastino

We study two-cluster solutions of an ensemble of generic limit-cycle oscillators in the vicinity of a Hopf bifurcation, i.e. Stuart-Landau oscillators, with a nonlinear global coupling. This coupling leads to conserved mean-field…

Chaotic Dynamics · Physics 2015-06-22 Lennart Schmidt , Katharina Krischer

In this paper we study cavity optomechanical systems in which the position of a mechanical oscillator modulates both the resonance frequency (dispersive coupling) and the linewidth (dissipative coupling) of a cavity mode. Using a quantum…

Quantum Physics · Physics 2013-05-21 Talitha Weiss , Christoph Bruder , Andreas Nunnenkamp

We propose a framework to infer the coupling strength and the natural frequency distribution in a coupled Stuart-Landau oscillator system with a large population. The inference method uses observation of linear response of a macroscopic…

Adaptation and Self-Organizing Systems · Physics 2026-05-27 Moonseok Choi , Yoshiyuki Y. Yamaguchi

We explore the dynamical consequences of switching the coupling form in a system of coupled oscillators. We consider two types of switching, one where the coupling function changes periodically and one where it changes probabilistically. We…

Here we analyze ways to achieve deep subthreshold parametric squeezing or cooling of a single degree-of-freedom parametric resonator enhanced by a lock-in amplifier feedback loop. Due to the feedback, the dynamics of the parametric…

Quantum Physics · Physics 2026-05-01 Adriano A. Batista , Raoni S. N. Moreira , A. A. Lisboa de Souza

The use of resonators to modify the behavior of electromagnetic systems demonstrates its potential for application in a wide range of problems. However, existing theoretical studies often resort to the single-mode approximation, rarely…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Aleksandr Shabanov , Georgy Alymov , Dmitry Svintsov

The two-state model of stochastic resonance is extended to a chain of coupled two-state elements governed by the dynamics of Glauber's stochastic Ising model. Appropriate assumptions on the model parameters turn the chain into a prototype…

Statistical Mechanics · Physics 2009-10-31 Udo Siewert , Lutz Schimansky-Geier
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