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This book chapter describes the dynamics of a modulated oscillator for resonant and nonresonant modulation. Two types of resonant modulation are considered: additive, with frequency close to the oscillator eigenfrequency, and parametric,…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 M. I. Dykman

The performance of a ring of linearly coupled, monostable nonlinear oscillators is optimized towards its goal of acting as energy harvester---through piezoelectric transduction---of mesoscopic fluctuations, which are modeled as…

Pattern Formation and Solitons · Physics 2017-03-21 J. I. Pena Rossello , H. S. Wio , R. R. Deza , P. Hanggi

This paper develops a multivariable current control strategy for inverter-based resources (IBRs) based on optimal control theory to enhance their dynamic performance and grid synchronization stability. The structure of the implemented…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Hassan Yazdani , Ali Maleki , Saeed Lotfifard , Ali Saberi

In the present paper, we report on the switching dynamics of both single and coupled VO2-based oscillators, with resistive and capacitive coupling, and explore the capability of their application in oscillatory neural networks. Based on…

Neural and Evolutionary Computing · Computer Science 2020-01-08 Andrei Velichko , Maksim Belyaev , Vadim Putrolaynen , Alexander Pergament , Valentin Perminov

As transistor footprint scales down to sub-10 nm regime, the process development for advancing to further technology nodes has encountered slowdowns. Achieving greater functionality within a single chip requires concurrent development at…

Applied Physics · Physics 2023-09-19 Zijing Zhao , Shaloo Rakheja , Wenjuan Zhu

Thermal management has become a promising field in recent years due to the limitation of energy resources and the global warming. An important topic in improving the efficiency of thermal energy utilization is how to control the flows of…

Applied Physics · Physics 2020-12-30 Fangqi Chen , Xiaojie Liu , Yanpei Tian , Duanyang Wang , Yi Zheng

The concept of a magnetic bipolar transistor (MBT) is introduced. The transistor has at least one magnetic region (emitter, base, or collector) characterized by spin-splitting of the carrier bands. In addition, nonequilibrium (source) spin…

Condensed Matter · Physics 2007-05-23 Jaroslav Fabian , Igor Zutic , S. Das Sarma

A MEMS Duffing resonator is driven by two adjacent frequency tones into the nonlinear regime. We show that if the two-tone drive is applied at a frequency where a bistable response of the nonlinear oscillator exists, then the system output…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Samer Houri , Ryuichi Ohta , Motoki Asano , Yaroslav M. Blanter , Hiroshi Yamaguchi

We discover presence of a hitherto unexplored type of resonance in a parametrically excited Van der Pol oscillator. The oscillator also possesses a state of anti-resonance. In the weak non-linear limit, we explain how to practically get a…

Chaotic Dynamics · Physics 2012-03-01 Sagar Chakraborty , Amartya Sarkar

We study the possibility of occurrence of vibrational resonance in a softening Duffing oscillator in the underdamped and overdamped cases both theoretically as well as numerically. The oscillator is driven by two periodic forces.…

Chaotic Dynamics · Physics 2021-07-20 Ivan Skhem Sawkmie , Donrich Kharkongor

Fundamental sensor feedback limitations for improving rotor angle stability using local frequency or phase angle measurement are derived. Using a two-machine power system model, it is shown that improved damping of inter-area oscillations…

Systems and Control · Electrical Eng. & Systems 2021-08-13 Joakim Björk , Danilo Obradović , Lennart Harnefors , Karl Henrik Johansson

We present a computer-based active interferometer stabilization method that can be set to an arbitrary phase difference and does not rely on modulation of the interfering beams. The scheme utilizes two orthogonal modes propagating through…

Additive noise is known to produce counter-intuitive behaviors in nonlinear dynamical systems. Previously, it was shown that systems with a deterministic limit cycle can display bistable switching between metastable states in the presence…

Chaotic Dynamics · Physics 2015-01-26 Michael A. Schwemmer , Jay M. Newby

The collective charge density wave (CDW) conduction is modulated by a transverse single-particle current in a transistor-like device. Nonequilibrium conditions in this geometry lead to an exponential reduction of the depinning threshold,…

Strongly Correlated Electrons · Physics 2009-10-31 N. Markovic , M. A. H. Dohmen , H. S. J. van der Zant

We develop a model of bistable oscillator with nonlinear dissipation. Using a numerical simulation and an electronic circuit realization of this system we study its response to additive noise excitations. We show that depending on noise…

Adaptation and Self-Organizing Systems · Physics 2016-05-25 Vladimir V. Semenov , Alexander B. Neiman , Tatyana E. Vadivasova , Vadim S. Anishchenko

In this article, we present an analysis of the effects of nonlinear circuits on bistable vibration energy harvesters. We begin by introducing an analytical model for bistable vibration energy harvesters and demonstrate that the impact of…

Applied Physics · Physics 2024-09-04 Adrien Morel , Quentin Demouron , Adrien Badel

We present a study of three-mode parametric instability in large-scale gravitational-wave detectors. Previous work used a linearised model to study the onset of instability. This paper presents a non-linear study of this phenomenon, which…

General Relativity and Quantum Cosmology · Physics 2015-01-06 Stefan L. Danilishin , Sergey P. Vyatchanin , David G. Blair , Ju Li , Chunnong Zhao

In this paper we have investigated the dynamics of a damped harmonic oscillator in the presence of an electromagnetic field. The transients for the two dimensional harmonic oscillator imply about the modulation of the frequency of the…

Classical Physics · Physics 2021-07-29 L. R. Rahul Biswas , Joydip Das , Bidhan Chandra Bag

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

Parametrically driven oscillators can display period-tripling in response to a drive at thrice the resonance frequency. In contrast to the parametric instability for period doubling, the symmetric fixed-point corresponding to the state of…

Mesoscale and Nanoscale Physics · Physics 2022-09-02 Lisa Arndt , Fabian Hassler