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The two-site two-electron Holstein model is studied within a perturbation method based on a variational phonon basis obtained through the modified Lang-Firsov (MLF) transformation. The ground-state wave function and the energy are found out…

Condensed Matter · Physics 2007-05-23 Jayita Chatterjee , A. N. Das

We analyze the nonlinear dynamics near the incoherent state in a mean-field model of coupled oscillators. The population is described by a Fokker-Planck equation for the distribution of phases, and we apply center-manifold reduction to…

patt-sol · Physics 2009-10-22 John David Crawford

In the present research, a bistable delayed-feedback oscillator with two delayed-feedback loops is shown to replicate a network of bistable nodes with nonlocal coupling. It is demonstrated that certain aspects of the nonlocal interaction…

Adaptation and Self-Organizing Systems · Physics 2026-02-16 Vladimir V. Semenov

We study a conservative system of two nonlinear coupled oscillators. The eigenmodes of the system are thus nonlinearly coupled, and one of them may induce a parametric amplification of the other, called an autoparametric resonance of the…

Statistical Mechanics · Physics 2022-06-01 Johann Maddi , Christophe Coste , Michel Saint Jean

Linear mechanical oscillators have been applied to measure very small forces, mostly with the help of noise suppression. In contrast, adding noise to non-linear oscillators can improve the measurement conditions. Here, this effect of…

Optics · Physics 2009-11-13 F. Mueller , S. Heugel , L. J. Wang

We propose a paradigmatic model system, a subcritical Hopf normal form subjected to noise and time-delayed feedback, to investigate the impact of time delay on coherence resonance in non-excitable systems. We develop analytical tools to…

Adaptation and Self-Organizing Systems · Physics 2014-12-08 Paul M. Geffert , Anna Zakharova , Andrea Vüllings , Wolfram Just , Eckehard Schöll

Determining the conditions under which an active system best detects sinusoidal signals is important for numerous fields. It is known that a quiescent, deterministic system possessing a supercritical Hopf bifurcation is more sensitive to…

Adaptation and Self-Organizing Systems · Physics 2018-12-20 Dáibhid Ó Maoiléidigh , AJ Hudspeth

Standard fine-tuning of pre-trained audio models couples representation learning with classifier training, which can obscure the true quality of the learned representations. In this work, we advocate for a disentangled two-stage framework…

Sound · Computer Science 2025-09-23 Yang Wang , Qibin Liang , Chenghao Xiao , Yizhi Li , Noura Al Moubayed , Chenghua Lin

A Hopf bifurcation in the Kuramoto-Daido model is investigated based on the generalized spectral theory and the center manifold reduction for a certain class of frequency distributions. The dynamical system of the order parameter on a…

Dynamical Systems · Mathematics 2016-10-11 Hayato Chiba

We study two identical fermions, or two hard-core bosons, in an infinite chain and coupled to phonons by interactions that modulate their hopping as described by the Peierls/Su-Schrieffer-Heeger (SSH) model. We show that exchange of phonons…

Strongly Correlated Electrons · Physics 2018-01-03 J. Sous , M. Chakraborty , C. P. J. Adolphs , R. V. Krems , M. Berciu

Oscillator phase noise has been shown to be one of the main performance limiting factors in full-duplex systems. In this paper, we consider the problem of self-interference cancellation with phase noise suppression in full-duplex systems.…

Information Theory · Computer Science 2014-11-07 Elsayed Ahmed , Ahmed M. Eltawil

In this work, we investigate resonance and antiresonance behaviour in forced coupled Duffing oscillators with nonlinear damping. Further, we will analyse the parameter dependence of the frequency response and stability. In the course of all…

Chaotic Dynamics · Physics 2019-09-26 Ankan Pandey

We propose theoretical methods to infer coupling strength and noise intensity simultaneously through an observation of spike timing in two well-synchronized noisy oscillators. A phase oscillator model is applied to derive formulae relating…

Biological Physics · Physics 2021-06-25 Fumito Mori , Hiroshi Kori

The bifurcation structure of coupled periodically driven double-well Duffing oscillators is investigated as a function of the strength of the driving force $f$ and its frequency $\Omega$. We first examine the stability of the steady state…

Chaotic Dynamics · Physics 2015-06-26 Anatole Kenfack

Noise induced changes in the critical and oscillatory behavior of a Prey-Predator system are studied using power spectrum density and Spectral Amplification Factor (SAF) analysis. In the absence of external noise, the population densities…

Statistical Mechanics · Physics 2009-10-31 A. F. Rozenfeld , C. J. Tessone , E. Albano , H. S. Wio

A Pulse-Compression Probing (PCP) method is applied in time-domain to identify an equivalent circuit model of a distribution network as seen from the transmission grid. A Pseudo-Random Binary Pulse Train (PRBPT) is injected as a voltage…

Systems and Control · Electrical Eng. & Systems 2023-06-05 Nicholas Piaquadio , N. Eva Wu , Morteza Sarailoo , Jianzhuang Huang

While the stochastic dynamics of two coupled oscillators have been extensively studied, most of the research has focused on stochastic input with equal intensity. However, this is often not the case in biological systems. In this study, we…

Dynamical Systems · Mathematics 2023-03-02 Gurpreet Jagdev , Na Yu

Cavity optomechanics is showing promise for studying quantum mechanics in large systems. However, smallness of the radiation-pressure coupling is a serious hindrance. Here we show how the charge tuning of the Josephson inductance in a…

Mesoscale and Nanoscale Physics · Physics 2014-05-30 Tero T. Heikkilä , Francesco Massel , Jani Tuorila , Raphaël Khan , Mika A. Sillanpää

We study the periodic forced response of a system of two limit cycle oscillators that interact with each other via a time delayed coupling. Detailed bifurcation diagrams in the parameter space of the forcing amplitude and forcing frequency…

Chaotic Dynamics · Physics 2007-05-23 D. V. Ramana Reddy , A. Sen , G. L. Johnston

This work develops a spherical-multipole expansion of Goldstein's acoustic analogy, for the prediction of tonal noise from rotating propellers. The acoustic field is expressed through spherical multipoles, which separate source integrals…

Fluid Dynamics · Physics 2026-03-20 Felice Fruncillo , Paolo Luchini , Flavio Giannetti