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External matching networks are crucial and necessary for operating capacitively coupled plasmas in order to maximize the absorbed power. Experiments show that external circuits in general heavily interact with the plasma in a nonlinear way.…

Plasma Physics · Physics 2018-11-15 Frederik Schmidt , Thomas Mussenbrock , Jan Trieschmann

We explore methods to use thermostatically controlled loads (TCLs), such as water heaters and air conditioners, to provide ancillary services by assisting in balancing generation and load. We show that by adding simple imbedded instructions…

Dynamical Systems · Mathematics 2013-01-15 N. A. Sinitsyn , Soumya Kundu , S. Backhaus

The current algorithms are based on linear model, for example, Precision Time Protocol (PTP) which requires frequent synchronization in order to handle the effects of clock frequency drift. This paper introduces a nonlinear approach to…

Machine Learning · Computer Science 2019-03-05 Frank Wang , Danjue Li

Quantum lock-in amplification raises the detection sensitivity of magnetic fields to unprecedented levels by phase-locked pumping the Zeeman levels of a single trapped atom. However, random spin precessions limits the useful detection range…

Quantum Physics · Physics 2025-12-08 Yan Zhang , Jing Zhang , Hou Ian

A driven opto-RF oscillator, consisting of a dual-frequency laser (DFL) submitted to frequency-shifted feedback, is studied experimentally and numerically in a chaotic regime. Precise control of the reinjection strength and detuning permits…

Optics · Physics 2016-07-01 Aurélien Thorette , Marco Romanelli , Marc Brunel , Marc Vallet

We study theoretically the possibilities of coupling the quantum mechanical motion of a trapped charged particle (e.g. ion or electron) to quantum degrees of freedom of superconducting devices, nano-mechanical resonators and quartz bulk…

Quantum Physics · Physics 2017-03-01 Shlomi Kotler , Raymond W. Simmonds , Dietrich Leibfried , David J. Wineland

In-phase synchronization is a special case of synchronous behavior when coupled oscillators have the same phases for any time moments. Such behavior appears naturally for nearly identical coupled limit-cycle oscillators when the coupling…

Adaptation and Self-Organizing Systems · Physics 2019-09-24 Viktor Novičenko , Irmantas Ratas

We present a novel data-driven Model Predictive Control (MPC) algorithm for nonlinear systems. The method is based on recent extensions of behavioural theory and Willem's Fundamental Lemma for nonlinear systems by the means of adequate…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Marcelo Menezes Morato , Julio Elias Normey-Rico , Olivier Sename

The inductive charging of electric vehicles requires specific measurement and calibration systems. In fact, the measurement of power on board involves DC signals, which are superimposed to a significant AC ripple up to or over 150 kHz,…

Instrumentation and Detectors · Physics 2019-05-21 M. Zucca , U. Pogliano , M. Modarres , D. Giordano , G. Crotti , D. Serazio

We consider two identical oscillators with weak, time delayed coupling. We start with a general system of delay differential equations then reduce it to a phase model. With the assumption of large time delay, the resulting phase model has…

Dynamical Systems · Mathematics 2020-07-15 Isam Al-Darabsah , Sue Ann Campbell

Understanding the system-level spectral immittance response of capacitive energy storage devices with analytically tractable physics-based models is not only important for the progress of the technology, but also allows to develop new…

Applied Physics · Physics 2022-02-22 Anis Allagui , Hachemi Benaoum , Hichem Eleuch , Chunlei Wang

We investigate second-order nonlinear processes in a system of two coupled identical optical micro-resonators. The double resonance and phase-matching conditions are simultaneously obtained thanks to the frequency splitting induced by the…

Optics · Physics 2025-10-03 Yannick Dumeige , Yoan Léger

Nanomechanical resonators are used in building ultra-sensitive mass and force sensors. In a widely used resonator based sensing paradigm, each modal resonance frequency is tracked with a phase-locked loop (PLL) based system. There is great…

Applied Physics · Physics 2020-10-12 Alper Demir , M. Selim Hanay

The phase oscillator model with global coupling is extended to the case of finite-range nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi-continuous array of identical oscillators separates sharply into…

Statistical Mechanics · Physics 2007-05-23 Yoshiki Kuramoto , Dorjsuren Battogtokh

The lock-in frequency and lock-in range concepts were introduced in 1966 by Floyd Gardner to describe the frequency differences of phase-locked loop based circuit for which the loop can acquire lock within one beat, i.e. without cycle…

Dynamical Systems · Mathematics 2017-05-16 N. V. Kuznetsov , G. A. Leonov , M. V. Yuldashev , R. V. Yuldashev

The Dick effect can be a limitation of the achievable frequency stability of a passive atomic frequency standard when the ancillary frequency source is only periodically sampled. Here we analyze the Dick effect for a pulsed vapor cell clock…

Atomic Physics · Physics 2016-11-17 Jean-Marie Danet , Michel Lours , Stéphane Guérandel , Emeric de Clercq

We evaluate the use of Coherent Population Trapping (CPT) excited with parallely polarized laser fields in vapour cell atomic clocks. We study the resonance shape, the discriminator slope and signal-to-noise ratio as a function of relevant…

Atomic Physics · Physics 2007-10-04 E. Breschi , G. Kazakov , B. Matisov , G. Mileti

Mode locking in lasers is a collective effect, where due to a weak coupling a large number of frequency modes lock their phases to oscillate in unison, forming an ultrashort pulse in time. We demonstrate an analogous collective effect in…

Optics · Physics 2021-03-03 Leon Bello , Marcello Calvanese Strinati , Shai Ben-Ami , Avi Pe'er

Any cavity controller for a distributed system needs a Phase Reference Line (PRL) signal from which to define phases of a cavity field measurement. The LCLS-II PRL system at SLAC provides bidirectional (forward and reverse) phase references…

Accelerator Physics · Physics 2022-10-19 Shreeharshini Dharanesh Murthy , Lawrence Doolittle , Charlie Xu , Bo Hong , Andrew Benwell , Jing Chen

This paper presents the design and results of detailed tests of a CMOS active pixel chip for charged particle detection with in-pixel charge storage for correlated double sampling and readout in rolling shutter mode at frequencies up to 25…

Instrumentation and Detectors · Physics 2009-01-27 Marco Battaglia , Jean-Marie Bussat , Devis Contarato , Peter Denes , Piero Giubilato , Lindsay E. Glesener