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The interaction between the fractional order parameter and the damping parameter can play a relevant role for introducing different dynamical behaviors in a physical system. Here, we study the Duffing oscillator with a fractional damping…

混沌动力学 · 物理学 2024-03-18 Mattia Coccolo , Jesús M. Seoane , Miguel A. F. Sanjuán

We investigate the dynamics of a soliton that behaves as an extended particle. The soliton motion in an effective bistable potential can be chaotic in a similar way as the Duffing oscillator. We generalize the concept of geometrical…

patt-sol · 物理学 2009-10-31 J. A. Gonzalez , B. A. Mello , L. I. Reyes , L. E. Guerrero

A (diatomic) shape resonance is a metastable state of a pair of colliding atoms quasi-bound by the centrifugal barrier imposed by the angular momentum involved in the collision. The temporary trapping of the atoms' scattering wavefunction…

The resonances associated with a fractional damped oscillator which is driven by an oscillatory external force are studied. It is shown that such resonances can be manipulated by tuning up either the coefficient of the fractional damping or…

经典物理 · 物理学 2023-04-13 Fernando Olivar-Romero , Oscar Rosas-Ortiz

As a model of coupled nano-electromechanical resonantors we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillation amplitudes as a function of the…

混沌动力学 · 物理学 2015-05-28 L. Chotorlishvili , A. Ugulava , G. Mchedlishvili , A. Komnik , S. Wimberger , J. Berakdar

This paper investigates resonance transmission in two unidirectionally coupled Duffing oscillators with fractional damping, where the driver is harmonically forced and the receiver is connected through a linear coupling spring. Particular…

混沌动力学 · 物理学 2026-04-29 Messali Rouaida , Mattia Coccolo , Miguel A. F. Sanjuán

We consider the motion of a harmonically trapped overdamped particle, which is submitted to a self-phoretic force, that is proportional to the gradient of a diffusive field for which the particle itself is the source. In agreement with…

统计力学 · 物理学 2025-01-23 A. Alexandre , L. Anderson , T. Collin-Dufresne , T. Guérin , D. S. Dean

Atomic ions, confined in radio-frequency Paul ion traps, are a promising candidate to host a future quantum information processor. In this letter, we demonstrate a method to couple two motional modes of a single trapped ion, where the…

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…

介观与纳米尺度物理 · 物理学 2014-05-30 Tero T. Heikkilä , Francesco Massel , Jani Tuorila , Raphaël Khan , Mika A. Sillanpää

In the work a nonlinear Duffing oscillator is considered under impulse excitation with two ways of introduction of the random additive term simulating noise, - with help of amplitude modulation and modulation of period of impulses sequence.…

混沌动力学 · 物理学 2007-05-23 Alexander P. Kuznetsov , Julia V. Sedova

Nanoelectromechanical resonators provide an ideal platform for investigating the interplay between electron transport and nonlinear mechanical motion. Externally driven suspended carbon nanotubes, containing an electrostatically defined…

We present direct observation of the ring-down dynamics in the rotating frame of a resonantly driven single-mode nonlinear nanomechanical resonator. An additional close to resonance harmonic force excites nonlinear oscillations about the…

介观与纳米尺度物理 · 物理学 2025-08-27 Hyunjin Choi , Oriel Shoshani , Ryundon Kim , Younghun Ryu , Jinhoon Jeong , Junho Suh , Steven W. Shaw , M. I. Dykman , Hyoungsoon Choi

Stochastic resonance is a general phenomenon usually observed in one-dimensional, amplitude modulated, bistable systems.We show experimentally the emergence of phase stochastic resonance in the bidimensional response of a forced…

Nonlinear phononics relies on the resonant optical excitation of infrared-active lattice vibrations to coherently induce targeted structural deformations in solids. This form of dynamical crystal-structure design has been applied to control…

应用物理 · 物理学 2021-05-19 Meredith Henstridge , Michael Först , Edward Rowe , Michael Fechner , Andrea Cavalleri

Nanoparticles levitated in an optical trap provide a versatile platform to study mechanical oscillators in a controlled environment with tuneable parameters. Recently, it has become possible to couple two of these optomechanical…

During the last decades active particles have attracted an incipient attention as they have been observed in a broad class of scenarios, ranging from bacterial suspension in living systems to artificial swimmers in nonequilibirum systems.…

统计力学 · 物理学 2023-12-19 Antonio A. Valido , Mattia Coccolo , Miguel A. F. Sanjuán

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,…

其他凝聚态物理 · 物理学 2009-11-12 S. Zaitsev , O. Shtempluck , E. Buks , O. Gottlieb

The dynamical behavior of a nonlinear micromechanical resonator acting as one of the mirrors in an optical resonance cavity is investigated. The mechanical motion is coupled to the optical power circulating inside the cavity both directly…

其他凝聚态物理 · 物理学 2015-03-19 S. Zaitsev , O. Gottlieb , E. Buks

The influence of multiplicative white noise on the resonance capture of strongly nonlinear oscillatory systems under chirped-frequency excitations is investigated. It is assumed that the intensity of the perturbation decays polynomially…

动力系统 · 数学 2024-03-22 Oskar A. Sultanov

Inertia amplification is a mechanism coupling degrees of freedom within a vibrating structure. Its goal is to achieve an apparent high dynamic mass and, accordingly, a low resonance frequency. Such structures have been described for use in…