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We introduce a new method for reducing phase noise in oscillators, thereby improving their frequency precision. The noise reduction device consists of a pair of coupled nonlinear resonating elements that are driven parametrically by the…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 Eyal Kenig , M. C. Cross , Ron Lifshitz , R. B. Karabalin , L. G. Villanueva , M. H. Matheny , M. L. Roukes

We propose a control approach for a class of nonlinear mechanical systems to stabilize the system under study while ensuring that the oscillations of the transient response are reduced. The approach is twofold: (i) we apply our technique…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Carmen Chan-Zheng , Pablo Borja , Jacquelien Scherpen

A new "model-free" control methodology is applied to a boost power converter. The properties of the boost converter allow to evaluate the performances of the model-free strategy in the case of switching nonlinear transfer functions,…

Systems and Control · Computer Science 2013-10-10 Loïc Michel , Wim Michiels , Xavier Boucher

The output of oscillators is usually not stable over time. In particular, phase variations---or \emph{phase noise}---corrupts the oscillations. In this letter, we describe a circuit that designed to average the phase noise processes and…

Information Theory · Computer Science 2016-11-03 Paul Ferrand

Building oscillator based computing systems with emerging nano-device technologies has become a promising solution for unconventional computing tasks like computer vision and pattern recognition. However, simulation and analysis of these…

Emerging Technologies · Computer Science 2016-11-15 Yan Fang , Victor V. Yashin , Donald M. Chiarulli , Steven P. Levitan

Noise can induce coherent oscillations in excitable systems without periodic orbits. Here, we establish a method to derive a hybrid system approximating the noise-induced coherent oscillations in excitable systems and further perform phase…

Adaptation and Self-Organizing Systems · Physics 2022-05-26 Jinjie Zhu , Yuzuru Kato , Hiroya Nakao

We study feedback control of coupled nonlinear stochastic oscillators in a force field. We first consider the problem of asymptotically driving the system to a desired {\em steady state} corresponding to reduced thermal noise. Among the…

Mathematical Physics · Physics 2015-07-02 Yongxin Chen , Tryphon Georgiou , Michele Pavon

Phase response curves are important for analysis and modeling of oscillatory dynamics in various applications, particularly in neuroscience. Standard experimental technique for determining them requires isolation of the system and…

Adaptation and Self-Organizing Systems · Physics 2018-09-20 Rok Cestnik , Michael Rosenblum

Cyclic motions in vertebrates, including heart beating, breathing and walking, are derived by a network of biological oscillators having fascinating features such as entrainment, environment adaptation, and robustness. These features…

Adaptation and Self-Organizing Systems · Physics 2021-11-24 Venus Pasandi , Aiko Dinale , Mehdi Keshmiri , Daniele Pucci

We investigate a simple variation of the series RLC circuit in which anti-parallel diodes replace the resistor. This results in a damped harmonic oscillator with a nonlinear damping term that is maximal at zero current and decreases with an…

Physics Education · Physics 2009-11-11 Edward H. Hellen , Matthew J. Lanctot

A "microscopic" justification of the "symmetric damping" model of a quantum oscillator with time-dependent frequency and time-dependent damping is given. This model is used to predict results of experiments on simulating the dynamical…

Quantum Physics · Physics 2010-06-29 Victor V. Dodonov

The model of coupled oscillators plays an important role in modern physics. It is used for description of various processes: from vibrations atoms in solid states to electromagnetic oscillations in slow-wave structures. The model with…

Accelerator Physics · Physics 2018-04-12 M. I. Ayzatsky , K. Yu. Kramarenko

Relaxation oscillator-based circuits are widely used for interfacing various resistive and capacitive sensors. The electrical equivalent of most resistive and capacitive sensors is represented using a parallel combination of resistor and…

Systems and Control · Electrical Eng. & Systems 2023-07-18 Mohamad Idris Wani , Sadan Saquib Khan , Benish Jan , Meraj Ahmad , Maryam Shojaei Baghini , Laxmeesha Somappa , Shahid Malik

Oscillating neural networks are promising candidates for a new computational paradigm, where complex optimization problems are solved by physics itself through the synchronization of coupled oscillating circuits. Nanoscale VO$_2$ Mott…

This paper presents a non-Hermitian physics-inspired voltage-controlled oscillator (VCO) topology, which is termed parity-time-symmetric topology. The VCO consists of two coupled inductor-capacitor (LC) cores with a balanced gain and loss…

Emerging Technologies · Computer Science 2023-01-31 Weidong Cao , Hua Wang , Xuan Zhang

Recently, nonreciprocal phase shifters have attracted a surge of interest thanks to the advent of nonreciprocal electromagnetic systems, such as nonreciprocal metasurfaces, nonreciprocal-beam antennas, and invisibility cloaks. To overcome…

Applied Physics · Physics 2022-10-25 Sajjad Taravati , George V. Eleftheriades

This paper presents the dynamics of a practical equivalent of a smooth memristor oscillator derived from Chua's circuit. This approach replaces the conventional Chua's diode by a flux controlled memristor with negative conductance. The…

Chaotic Dynamics · Physics 2014-08-22 R. Jothimurugan , K. Thamilmaran , Ronilson Rocha

In this paper, the voltage fluctuations of the Bonhoeffer van der pol oscillator system with a non-ideal capacitor were investigated. Here, the capacitor was modeled, using a fractional differential equation in which the order of the…

Data Analysis, Statistics and Probability · Physics 2019-03-27 Jamieson Brechtl , Xie Xie , Karin A. Dahmen , Peter K. Liaw , Steven J. Zinkle

An adaptive system for the suppression of vibration transmission using a single piezoelectric actuator shunted by a negative capacitance circuit is presented. It is known that using negative capacitance shunt, the spring constant of…

Computational Engineering, Finance, and Science · Computer Science 2014-02-19 Milos Kodejska , Pavel Mokry , Vaclav Linhart , Jan Vaclavik , Tomas Sluka

Many physical, chemical and biological systems can be modeled by means of random-frequency harmonic oscillator systems. Even though the noise-free evolution of harmonic oscillator systems can be easily implemented, the way to experimentally…

Classical Physics · Physics 2014-07-11 R. de J. León-Montiel , J. Svozilík , Juan P. Torres