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In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under…

Dynamical Systems · Mathematics 2017-07-04 D. G. Aronson

The appearence of a new type of fast nonlinear traveling wave states in binary fluid convection with increasing Soret effect is elucidated and the parameter range of their bistability with the common slower ones is evaluated numerically.…

patt-sol · Physics 2009-10-30 St. Hollinger , P. Buechel , M. Luecke

The ultimate spatial limit to establish a Josephson coupling between two superconducting electrodes is an atomic-scale junction. The Josephson effect in such ultrasmall junctions has been used to unveil new switching dynamics, study…

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

We experimentally demonstrate a new class of optomechanical nonlinearities in weakly damped micromechanical resonators, arising from the interplay between the Duffing nonlinearity, intermodal coupling, and thermal fluctuations. Within the…

We study resonance behavior of a two-dimensional fully frustrated Josephson-junction array driven by high alternating currents. The signal-to-noise ratio (SNR) is examined as the frequency of the driving current is varied; revealed is a…

Statistical Mechanics · Physics 2007-05-23 Jong Soo Lim , M. Y. Choi , Beom Jun Kim

Periodically modulated nonlinear oscillators often display bistability of forced vibrations. This bistability can be used for new types of quantum measurements. They are based on switching between coexisting vibrational states. Since…

Mesoscale and Nanoscale Physics · Physics 2008-10-29 M. I. Dykman

The nonlinear response of noisy bistable systems driven by strong amplitude periodical force is investigated by physical experiment. The new phenomenon of locking of the mean switching frequency between states of bistable system is found.…

adap-org · Physics 2008-02-03 Boris Shulgin , Alexander Neiman , Vadim Anishchenko

Multistability is an inseparable feature of many physical, chemical and biological systems which are driven far from equilibrium. In these nonequilibrium systems, stochastic dynamics often induces switching between distinct states on…

Adaptation and Self-Organizing Systems · Physics 2017-11-01 Guram Gogia , Justin Burton

In networked systems, stochastic resonance occurs as a collective phenomenon where the entire stochastic network resonates with a weak applied periodic signal. Beyond the interplay among the network coupling, the amplitude of the external…

Adaptation and Self-Organizing Systems · Physics 2025-02-11 Jonah E. Friederich , Everton S. Medeiros , Sabine H. L. Klapp , Anna Zakharova

We performed a novel phase sensitive microwave reflection experiment which directly probes the dynamics of the Josephson plasma resonance in both the linear and non-linear regime. When the junction was driven below the plasma frequency into…

We have studied the switching behaviour of a small capacitance Josephson junction both in experiment, and by numerical simulation of a model circuit. The switching is a comples process involving the transition between two dynamical states…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Joachim Sjostrand , Jochen Walter , David Haviland , Hans Hansson , Anders Karlhede

In this article, we investigate the stochastic resonance (SR) effect in a finite array of noisy bistable systems with nearest-neighbor coupling driven by a weak time-periodic driving force. The array is characterized by a collective…

Statistical Mechanics · Physics 2009-11-13 Manuel Morillo , José Gómez-Ordóñez , José M. Casado , Jesús Casado-Pascual , David Cubero

High frequency stochastic resonance (SR) phenomena, associated with fluctuational transitions between coexisting periodic attractors, have been investigated experimentally in an electronic model of a single-well Duffing oscillator bistable…

Superconducting weak link (WL), acting as a Josephson junction (JJ), is one of the widely used elements in superconductor science and quantum circuits. A hysteretic JJ with robust switching between its superconducting and resistive state is…

Superconductivity · Physics 2022-10-11 Sourav Biswas , Pankaj Wahi , Anjan Kumar Gupta

We propose a bosonic Josephson junction (BJJ) in two nonlinear mechanical resonator coupled through two-phonon exchange interaction induced by quadratic optomechanical couplings. The nonlinear dynamic equations and effective Hamiltonian are…

Quantum Physics · Physics 2017-08-22 Xun-Wei Xu , Ai-Xi Chen , Yu-xi Liu

We experimentally study a driven-dissipative Josephson junction array, realized with a weakly interacting Bose Einstein condensate residing in a one-dimensional optical lattice. Engineered losses on one site act as a local dissipative…

Quantum Physics · Physics 2017-08-24 Ralf Labouvie , Bodhaditya Santra , Simon Heun , Herwig Ott

Under a high frequency drive, Josephson junctions demonstrate "Shapiro steps" of quantized voltage. These are dynamically stabilized states, in which the phase across the junction locks to the external drive. We explore the stochastic…

We demonstrated stochastic switching in a bistable system implemented with Rydberg atomic ensemble. The transition between the two states of the bistable system is driven by intensity noise of the laser beams. Rydberg atomic ensemble…

Atomic Physics · Physics 2020-12-02 Jun He , Xin Wang , Xin Wen , Junmin Wang

We carry out a detailed numerical investigation of stochastic resonance in underdamped systems in the non-perturbative regime. We point out that an important distinction between stochastic resonance in overdamped and underdamped systems…

Pattern Formation and Solitons · Physics 2009-11-11 Rajarshi Ray , Supratim Sengupta