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Different mechanisms for the creation of strange nonchaotic attractors (SNAs) are studied in a two-frequency parametrically driven Duffing oscillator. We focus on intermittency transitions in particular, and show that SNAs in this system…

Chaotic Dynamics · Physics 2009-10-31 A. Venkatesan , M. Lakshmanan , A. Prasad , R. Ramaswamy

We study the nonequilibrium dynamic behaviors in a driven-dissipative single-atom cavity electromagnetically induced transparency. The optical bistability and multistability beyond a Kerr nonlinearity are observed utilizing the optical…

Quantum Physics · Physics 2023-07-31 Jing Tang , Yuangang Deng

Stochastic resonance is a well established phenomenon, which proves relevant for a wide range of applications, of broad trans-disciplinary breath. Consider a one dimensional bistable stochastic system, characterized by a deterministic…

Statistical Mechanics · Physics 2023-10-17 Giuliano Migliorini , Duccio Fanelli

Synchronization is one of the essential collective behaviors and has extensive applications. Exploiting a common environment, we establish synchronization in microwave optomechanical circuits. Through analysis and numerical calculations, we…

Quantum Physics · Physics 2025-01-10 Yun-Qiu Ge , Min-Chen Qiao , Yu-xi Liu

Optical isolation, non-reciprocal phase transmission and topological phases for light based on synthetic gauge fields have been raising significant interest in the recent literature. Cavity-optomechanical systems that involve two optical…

Optics · Physics 2017-06-20 Mohammad-Ali Miri , Freek Ruesink , Ewold Verhagen , Andrea Alù

It has been well established that spatially extended, bistable systems that are driven by an oscillating field exhibit a nonequilibrium dynamic phase transition (DPT). The DPT occurs when the field frequency is on the order of the inverse…

Statistical Mechanics · Physics 2007-05-23 G. Korniss , P. A. Rikvold , M. A. Novotny

We report on a bistable light transmission through a planar metamaterial composed of a metal pattern of weakly asymmetric elements placed on a nonlinear substrate. Such structure bears the Fano-like sharp resonance response of a…

We study a mechanical oscillator coupled to a two-level system driven by a blue-detuned coherent source in the resolved sideband regime. For weak mechanical damping, we find dynamical instabilities leading to limit cycles. They are signaled…

Quantum Physics · Physics 2025-02-20 Guillaume Bertel , Clement Dutreix , Fabio Pistolesi

We show theoretically that an open-dissipative polariton condensate confined within a trapping potential and driven by an incoherent pumping scheme gives rise to bistability between odd and even modes of the potential. Switching from one…

Quantum Gases · Physics 2015-12-10 Helgi Sigurdsson , Ivan A. Shelykh , Timothy C. H. Liew

We present an experimental investigation of stochastic switching of a bistable Josephson junctions array resonator with a resonance frequency in the GHz range. As the device is in the regime where the anharmonicity is on the order of the…

A novel concept for the design of nonlinear optical diodes is proposed which uses the multistability of coupled nonlinear microcavities and the dependence of switching thresholds on the direction of incidence. A typical example of such…

Optics · Physics 2011-05-31 Victor Grigoriev , Fabio Biancalana

We analyze the rates of noise-induced transitions between period-two attractors. The model investigated is an underdamped oscillator parametrically driven by a field at nearly twice the oscillator eigenfrequency. The activation energy of…

Optics · Physics 2016-09-08 M. I. Dykman , C. M. Maloney , V. N. Smelyanskiy , M. Silverstein

We study noise-enhanced frequency mixing in an underdamped micromechanical torsional oscillator. The oscillator is electrostatically driven into bistability by a strong, periodic voltage at frequency $\omega_d$. A second, weak ac voltage is…

Other Condensed Matter · Physics 2007-05-23 H. B. Chan , C. Stambaugh

Experimental exploration of synchronization in scalable oscillator micro systems has unfolded a deeper understanding of networks, collective phenomena, and signal processing. Cavity optomechanical devices have played an important role in…

We extend the theory of weakly coupled oscillators to incorporate slowly varying inputs and parameters. We employ a combination of regular perturbation and an adiabatic approximation to derive equations for the phase-difference between a…

Dynamical Systems · Mathematics 2016-03-09 Youngmin Park , Bard Ermentrout

We report the observation of nonlinearity-induced broadening of resonances in dynamically modulated directional couplers. When the refractive index of the guiding channels in the coupler is harmonically modulated along the propagation…

We study the nonlinear optomechanically-induced transparency (OMIT) with gain and loss. We find that (i) for a single active cavity, significant enhancement can be achieved for the higher-order sidebands, including the transmission rate and…

Quantum Physics · Physics 2016-08-22 Y. Jiao , H. Lü , J. Qian , Y. Li , H. Jing

We present a novel mode of operation for Duffing-type nonlinear microelectromechanical (MEMS) devices whereby a self-sustained multi-frequency output is generated. This new librator regime creates a limit cycle around a dynamical fixed…

Mesoscale and Nanoscale Physics · Physics 2021-06-10 Samer Houri , Motoki Asano , Hajime Okamoto , Hiroshi Yamaguchi

Optomechanical interactions between mechanical oscillators and an electromagnetic field induce controllable modifications in mechanical fluctuation. When multiple mechanical oscillators are coupled to a single electromagnetic mode, these…

Quantum Physics · Physics 2025-09-17 Mungyeong Jeong , Hyojun Seok , Young-Sik Ra , Junho Suh

In this work we characterize the unusual nonlinear dynamics of the resonance response, exhibited by our NbN superconducting microwave resonators, using different operating conditions. The nonlinear dynamics, occurring at relatively low…

Superconductivity · Physics 2013-05-29 Baleegh Abdo , Eran Segev , Oleg Shtempluck , Eyal Buks
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