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Nonlinear elastic effects play an important role in the dynamics of microelectromechanical systems (MEMS). Duffing oscillator is widely used as an archetypical model of mechanical resonators with nonlinear elastic behavior. In contrast,…

Other Condensed Matter · Physics 2009-11-12 S. Zaitsev , O. Shtempluck , E. Buks , O. Gottlieb

This research paper explores the potential of nonlinear magnetic levitation systems for energy harvesting by developing a modified system that incorporates a more realistic energy harvesting circuit, enabling a better representation of…

Analysis of PDEs · Mathematics 2026-03-25 Jinhao Xie , Chengkai Yuan

We demonstrate the deterministic coherence and anti-coherence resonance phenomena in two coupled identical chaotic Lorenz oscillators. Both effects are found to occur simultaneously when varying the coupling strength. In particular, the…

Chaotic Dynamics · Physics 2026-03-11 Pavel S. Komkov , Ol'ga I. Moskalenko , Vladimir V. Semenov , Sergei V. Grishin

Nonlinear triadic interactions are at the heart of our understanding of turbulence. In flows where waves are present modes must not only be in a triad to interact, but their frequencies must also satisfy an extra condition: the interactions…

Fluid Dynamics · Physics 2016-12-21 P. Clark di Leoni , P. D. Mininni

In this letter, the properties of split-ring resonators (SRRs) loaded with high-Q capacitors and nonlinear varactors are theoretically analyzed and experimentally measured. We demonstrate that the resonance frequency $f_m$ of the nonlinear…

Materials Science · Physics 2015-05-13 Bingnan Wang , Jiangfeng Zhou , Thomas Koschny , Costas M. Soukoulis

Studying the dynamical behavior of micro- and nano-mechanical systems (MEMS and NEMS) is essential in various fields from nonlinear dynamics to quantum technologies. Hence, it is important to be able to precisely monitor the mechanical…

Optics · Physics 2025-12-09 Agnes Zinth , Samer Houri , Menno Poot

We investigate the resonance behaviour in a system composed by n-coupled Duffing oscillators where only the first oscillator is driven by a periodic force, assuming a nearest neighbour coupling. We have derived the frequency-response…

Chaotic Dynamics · Physics 2015-10-07 R. Jothimurugan , K. Thamilmaran , S. Rajasekar , M. A. F. Sanjuan

We investigate full quantum mechanical evolution of two electrons nonlinearly coupled to quantum phonons and simulate the dynamical response of the system subject to a short spatially uniform optical pulse that couples to dipole-active…

Statistical Mechanics · Physics 2025-03-06 K. Kovač , D. Golež , M. Mierzejewski , J. Bonča

Measurement and feedback control of stochastic dynamics has been actively studied for not only stabilizing the system but also for generating additional entropy flows originating in the information flow in the feedback controller. In…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Motoki Asano , Takuma Aihara , Tai Tsuchizawa , Hiroshi Yamaguchi

We report a microscopic and general theoretical formalism for electrical response which is appropriate for both DC and AC weakly nonlinear quantum transport. The formalism emphasizes the electron-electron interaction and maintains current…

Condensed Matter · Physics 2009-10-30 Zhong-shui Ma , Jian Wang , Hong Guo

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…

Optics · Physics 2023-06-12 Qing Lin , Yi Wu , Gang Li , Bing He

The transmission of acoustic phonons is an important element in the design and performance of nano-mechanical devices operating in the mesoscopic limit. Analytic expressions for the power transmission coefficient, T, exist only in the…

Applied Physics · Physics 2019-03-27 John Bartlett , Karwan Rostem , Edward Wollack

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…

The field of magnonics, which aims at using spin waves as carriers in data processing devices, has attracted increasing interest in recent years. We present and study micromagnetically a nonlinear nanoscale magnonic ring resonator device…

In recent years, the study of coupled excitable oscillators has largely benefited from a new analytical technique developed by Ott and Antonsen. This technique allows to express the dynamics of certain macroscopic observable in the ensemble…

Adaptation and Self-Organizing Systems · Physics 2019-02-19 Gonzalo Uribarri , Gabriel B. Mindlin

Nonreciprocal coupling can alter the transport properties of material media, producing striking phenomena such as unidirectional amplification of waves, boundary modes, or self-assembled pattern formation. It is responsible for nonlinear…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos , Karin Alfaro-Bittner , René G. Rojas , Marcel G. Clerc

Power transmission in one-dimensional nonlinear magnetic metamaterials driven at one end is investigated numerically and analytically in a wide frequency range. The nonlinear magnetic metamaterials are composed of varactor-loaded split-ring…

Classical Physics · Physics 2015-05-27 Nikos Lazarides , Vassilis Paltoglou , G. P. Tsironis

We investigate the dynamics of a single phonon (oscillator) mode linearly coupled to an electronic few-level system in contact with external particle reservoirs (leads). A stationary electronic current through the system generates…

Mesoscale and Nanoscale Physics · Physics 2010-10-15 R. Hussein , A. Metelmann , P. Zedler , T. Brandes

A nonlinear frequency response based adaptive vibration controller is proposed for a class of nonlinear mechanical systems. In order to obtain the nonlinear Frequency Response Function (FRF), the convergence properties of the system are…

Systems and Control · Computer Science 2015-03-30 Suresh Thenozhi , Yu Tang

We study the dynamics of a classical nonlinear oscillator subject to noise and driven by a sinusoidal force. In particular, we give an analytical identification of the mechanisms responsible for the supernarrow peaks observed recently in…

Statistical Mechanics · Physics 2016-01-20 J. Plata