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In this letter, we experimentally demonstrate an efficient scheme to regulate the behaviour of coupled nonlinear oscillators through dynamic control of their interaction. It is observed that introducing intermittency in the interaction term…

Adaptation and Self-Organizing Systems · Physics 2022-07-20 Shiva Dixit , Manaoj Aravind , P. Parmananda

Functions with discontinuities appear in many applications such as image reconstruction, signal processing, optimal control problems, interface problems, engineering applications and so on. Accurate approximation and interpolation of these…

Numerical Analysis · Mathematics 2023-02-07 Mohammad Karimnejad Esfahani , Stefano De Marchi , Francesco Marchetti

We investigate two prototypical dissipative bosonic systems under slow driving and arbitrary system-bath coupling strength, recovering their dynamic evolution as well as the heat and work rates, and we verify that thermodynamic laws are…

Mesoscale and Nanoscale Physics · Physics 2018-03-01 Maicol A. Ochoa , Natalya Zymbovskaya , Abraham Nitzan

Single-electron pumps based on tunable-barrier quantum dots are the most promising candidates for a direct realization of the unit ampere in the recently revised SI: they are simple to operate and show high precision at high operation…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Frank Hohls , Vyacheslavs Kashcheyevs , Friederike Stein , Tobias Wenz , Bernd Kaestner , Hans W. Schumacher

This paper presents the design of an extremum seeking controller based on sliding modes and cyclic search for real-time optimization of non-linear multivariable dynamic systems. These systems have arbitrary relative degree, compensated by…

Optimization and Control · Mathematics 2024-07-31 Nerito Oliveira Aminde , Tiago Roux Oliveira , Liu Hsu

We revisit the effect of non-linear Landau (NL) damping on the electrostatic instability of blazar-induced pair beams, using a realistic pair-beam distribution. We employ a simplified 2D model in ${\bf k}$-space to study the evolution of…

High Energy Astrophysical Phenomena · Physics 2019-07-09 S. Vafin , P. J. Deka , M. Pohl , A. Bohdan

This study focuses on extending the concept of weak signal enhancement from dynamical systems based on vibrational resonance of nonlinear systems, to non-smooth systems. A Van der Pol- Duffing oscillator with a one-sided barrier, subjected…

Chaotic Dynamics · Physics 2024-07-26 Somnath Roy , Sayan Gupta

We investigate energy transfer and localization in a linear time-invariant oscillator chain weakly coupled to a forced nonlinear actuator. Two types of perturbation are studied: (1) harmonic forcing with a constant frequency is applied to…

Pattern Formation and Solitons · Physics 2015-01-06 Agnessa Kovaleva

We demonstrate that when two colliding nuclei approach each other, their quantum vibrations are damped near the touching point. We show that this damping is responsible for the fusion hindrance phenomena measured in the deep sub-barrier…

Nuclear Theory · Physics 2013-04-19 Takatoshi Ichikawa , Kenichi Matsuyanagi

A distributed discrete-time algorithm is proposed for multi-agent networks to achieve a common least squares solution of a group of linear equations, in which each agent only knows some of the equations and is only able to receive…

Systems and Control · Computer Science 2017-10-02 Xuan Wang , Jingqiu Zhou , Shaoshuai Mou , Martin J. Corless

We study optimal control strategies to optimize the relaxation rate towards the fixed point of a quantum system in the presence of a non-Markovian dissipative bath. Contrary to naive expectations that suggest that memory effects might be…

This paper addresses the distributed optimal frequency control of power systems considering a network-preserving model with nonlinear power flows and excitation voltage dynamics. Salient features of the proposed distributed control strategy…

Systems and Control · Computer Science 2018-02-14 Zhaojian Wang , Feng Liu , John Z. F. Pang , Steven Low , Shengwei Mei

This paper presents an optimal dynamic control framework for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations affected by both state and process noise. Rather than directly stabilizing the uncertain system,…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Mohammad Khajenejad

This work presents (i) a framework for certifying small-signal frequency stability of a power system with line dynamics and heterogeneous bus dynamics, (ii) a novel reduced-order model of damper windings in synchronous machines, and (iii) a…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Dahlia Saba , Dominic Groß

We present a conservative/dissipative time integration scheme for nonlinear mechanical systems. Starting from a weak form, we derive algorithmic forces and velocities that guarantee the desired conservation/dissipation properties. Our…

Numerical Analysis · Mathematics 2019-11-01 Cristian G. Gebhardt , Ignacio Romero , Raimund Rolfes

We study noise induced switching in systems far from equilibrium by using an underdamped micromechanical torsional oscillator driven into the nonlinear regime. Within a certain range of driving frequencies, the oscillator possesses two…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 C. Stambaugh , H. B. Chan

Time delay based control, recently proposed for non-collocated fourth-order systems, has several advantages over an observer-based state-feedback compensation of the low-damped oscillations in output. In this paper, we discuss a practical…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Michael Ruderman

Microscopic machines utilize free energy to create and maintain out-of-equilibrium organization in virtually all living things. Often this takes the form of converting the free energy stored in nonequilibrium chemical potential differences…

Statistical Mechanics · Physics 2019-08-23 Steven J. Large , David A. Sivak

We formulate the swarming optimization problem as a weakly coupled, dissipative dynamical system governed by a controlled energy dissipation rate and initial velocities that adhere to the nonequilibrium Onsager principle. In this framework,…

Numerical Analysis · Mathematics 2025-07-15 Xuelong Gu , Qi Wang

We study the minimum-time damping of a physical pendulum by means of a bounded control. In the similar problem for a linear oscillator each optimal trajectory possesses a finite number of control switchings from the maximal to the minimal…

Optimization and Control · Mathematics 2015-03-31 Alexander Ovseevich