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Related papers: Frequency locking in the injection-locked frequenc…

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We introduce and explore an interacting integrable cellular automaton, the Fredkin staircase, that lies outside the existing classification of such automata, and has a structure that seems to lie beyond that of any existing Bethe-solvable…

Statistical Mechanics · Physics 2023-01-30 Hansveer Singh , Romain Vasseur , Sarang Gopalakrishnan

Frequency locking to an external forcing frequency is a {well} known phenomenon. In the auditory system, it results in a localized traveling wave, the shape of which is essential for efficient discrimination between incoming frequencies. An…

Pattern Formation and Solitons · Physics 2018-09-12 Yuval Edri , Dolores Bozovic , Ehud Meron , Arik Yochelis

We studied the injection-locking properties of a resonant-tunneling-diode terahertz oscillator in the small-signal injection regime with a frequency-stabilized continuous THz wave. The linewidth of the emission spectrum dramatically…

Fault injection attacks induce hardware failures in circuits and exploit these faults to compromise the security of the system. It has been demonstrated that FIAs can bypass system security mechanisms, cause faulty outputs, and gain access…

Systems and Control · Electrical Eng. & Systems 2025-01-17 Yan He , Yumin Su , Kaiyuan Yang

The influence of optical feedback on semiconductor lasers has been a widely studied field of research due to fundamental interests as well as the optimization of optical data transmission and computing. Recent publications have shown that…

We analyze the trajectory of suspended spherical particles moving through a square array of obstacles, in the deterministic limit and at zero Reynolds number. We show that, in the dilute approximation of widely separated obstacles, the…

Fluid Dynamics · Physics 2016-05-04 Sumedh R. Risbud , German Drazer

Array configuration is one of the effective ways to increase the output power of terahertz oscillators using resonant tunneling diodes. Mutual locking between the array elements results in coherent single-spectrum oscillation and a narrow…

Applied Physics · Physics 2025-12-05 Masahiro Asada , Safumi Suzuki

Forced oscillation of a system composed of two pendulums coupled by a spring in the presence of damping is investigated. In the steady state and within the small angle approximation we solve the system equations of motion and obtain the…

Chaotic Dynamics · Physics 2010-06-22 M. Ebrahim Foulaadvand , Davoud Masoumi

We study the case where phase modulation of the harmonic signal is used to obtain the error signal for the frequency stabilization to a reference atomic transition. High-frequency modulation, or analog of the Pound-Drever-Hall regime, is…

The nonlinear response to an external electric field is studied for classical non-interacting charged particles under the influence of a uniform magnetic field, a periodic potential, and an effective friction force. We find numerical and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jan Wiersig , Kang-Hun Ahn

A driven quantum system has been recently studied in the context of nonequilibrium phase transitions and their responses. In particular, for a periodically driven system, its dynamics are described in terms of the multi-dimensional Floquet…

Strongly Correlated Electrons · Physics 2023-03-08 HaRu K. Park , Junmo Jeon , Gil Young Cho , SungBin Lee

Using numerical simulations, we observe phase locking, Arnold tongues, and Devil's staircases for vortex lattices driven at varying angles with respect to an underlying superconducting periodic pinning array. This rich structure should be…

Superconductivity · Physics 2009-10-31 C. Reichhardt , F. Nori

We study a plasma instability in semiconductor superlattices irradiated by a monochromatic, pure AC electric field. The instability leads to sustained oscillations at a frequency \omega 2 that is either incommensurate to the drive, or…

Mesoscale and Nanoscale Physics · Physics 2012-01-31 Jukka Isohätälä , Kirill N. Alekseev

Parametric instabilities are a known feature of periodically driven dynamic systems; at particular frequencies and amplitudes of the driving modulation, the system's quasi-periodic response undergoes a frequency lock-in, leading to a…

Mathematical Physics · Physics 2026-05-22 Helen E. Read , Giada Risso , Adel Djellouli , Katia Bertoldi , Arnaud Lazarus

We study the spectrum of non-homogeneous partially hinged plates having structural engineering applications. A possible way to prevent instability phenomena is to maximize the ratio between the frequencies of certain oscillating modes with…

Analysis of PDEs · Mathematics 2020-08-31 Elvise Berchio , Alessio Falocchi

Frequency-domain representations are crucial for the design and performance evaluation of controllers in multirate systems, specifically to address intersample performance. The aim of this paper is to develop an effective frequency-domain…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Max van Haren , Masahiro Mae , Lennart Blanken , Tom Oomen

We derive the normal form for the delay-induced Hopf bifurcation in the first-order phase-locked loop with time delay by the multiple scaling method. The resulting periodic orbit is confirmed by numerical simulations. Further detailed…

Chaotic Dynamics · Physics 2009-11-11 Michael Schanz , Axel Pelster

We derived simple polynomial equations to determine the entire resonance spectra of split ring structures. For double stacking split rings made with flat wires, we showed that the resonance frequency depends linearly on the ring-ring…

Materials Science · Physics 2009-11-13 S. T. Chui , Y. Zhang , Lei Xzhou

In this article we examine the dynamics of a colloidal particle driven by a modulated force over a sinusoidal optical potential energy landscape. Coupling between the competing frequencies of the modulated drive and that of particle motion…

We consider entrainment by periodic force of limit cycles which are close to the homoclinic bifurcation. Taking as a physical example the nanoscale spin-torque oscillator in the LC circuit, we develop the general description of the…

Chaotic Dynamics · Physics 2018-05-15 Michael A. Zaks , Arkady Pikovsky