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In this paper we present an experimental setup and an associated mathematical model to study the synchronization of two self sustained strongly coupled mechanical oscillators (metronomes). The effects of a small detuning in the internal…

混沌动力学 · 物理学 2014-07-09 N. Chakrabarty , A. Jain , Nijil Lal C. K. , K. Das Gupta , P. Parmananda

We study theoretically continuous-variable entanglement between the motional degrees of freedom of optically trapped massive particles coupled via the Coulomb interaction, in the presence of a feedback control scheme. We perform a detailed…

量子物理 · 物理学 2025-10-22 Gad Horovitz , Alexander N. Poddubny

This paper deals with a unifying approach to the problems of computing the admissible sets of parametrical multi perturbations in appropriate bounded sets such that some fundamental properties of parameter-varying linear dynamic systems are…

最优化与控制 · 数学 2008-03-28 M. De la Sen

We consider a robust stabilization of the fourth-order oscillatory systems with non-collocated output sensing. Worth recalling is that the fourth-order systems are relatively common in mechatronics as soon as there are two-mass or more…

系统与控制 · 电气工程与系统科学 2023-06-13 Michael Ruderman

We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitation) which presents both oscillating and rotating periodic…

混沌动力学 · 物理学 2015-06-04 Piotr Brzeski , Przemyslaw Perlikowski , Serhiy Yanchuk , Tomasz Kapitaniak

The article is devoted to the investigation of the nonlinear effects in a system of the coupled longitudinal-torsional parametric vibrations of a rotating rod. Constructed and investigated mathematical model, based on which we calculated…

应用物理 · 物理学 2018-03-13 Ivan V. Kazachkov

We analyze the dynamics of the forced singularly perturbed differential equation of Duffing's type. We explain the appearance of the large frequency nonlinear oscillations of the solutions. It is shown that the frequency can be controlled…

动力系统 · 数学 2017-09-06 Robert Vrabel , Marcel Abas

The interaction between the fractional order parameter and the damping parameter can play a relevant role for introducing different dynamical behaviors in a physical system. Here, we study the Duffing oscillator with a fractional damping…

混沌动力学 · 物理学 2024-03-18 Mattia Coccolo , Jesús M. Seoane , Miguel A. F. Sanjuán

A modification to the ${\cal L}_1$ control framework for uncertain systems with actuator delay is presented. Specifically, a time delay is introduced in the control input of the state predictor to compensate for the destabilizing effect of…

最优化与控制 · 数学 2022-09-27 Kim-Doang Nguyen , Harry Dankowicz

The objective of this paper is to investigate the stability of limit cycles of a mathematical model with a distributed delay which describes the interaction between p53 and mdm2. Choosing the delay as a bifurcation parameter we study the…

动力系统 · 数学 2007-05-23 M. Neamtu , D. Opris , R. F. Horhat

Optomechanical systems are known to exhibit a rich set of complex dynamical features including various types of chaotic behavior and multi-stability. Although this exotic behavior has attracted an intense research interest, the utilization…

混沌动力学 · 物理学 2021-05-19 S. Christou , V. Kovanis , A. E. Giannakopoulos , Y. Kominis

We study the existence and stability of phaselocked patterns and amplitude death states in a closed chain of delay coupled identical limit cycle oscillators that are near a supercritical Hopf bifurcation. The coupling is limited to nearest…

混沌动力学 · 物理学 2009-11-10 Ramana Dodla , Abhijit Sen , George L. Johnston

We develop a passive control strategy for suppressing thermoacoustic instability in a bluff-body stabilized premixed turbulent combustor. When the equivalence ratio is varied, there is a transition from combustion noise to thermoacoustic…

流体动力学 · 物理学 2020-11-04 Amitesh Roy , C P Premchand , Manikandan Raghunathan , Abin Krishnan , Vineeth Nair , R I Sujith

This paper addresses the output regulation problem for a one-dimensional unstable wave equation subject to output delay and all-channel disturbances with unknown frequencies and amplitudes. First, this problem is transformed into a…

最优化与控制 · 数学 2025-04-22 Shen Wang , Zhong-Jie Han , Shuangxi Huang , Zhi-Xue Zhao

This paper presents an investigation into parameter adaptation in behavioral model--based digital predistortion for radio frequency power amplifiers. A novel measurement setup framework that emulates real--time adaptation in transmitters is…

系统与控制 · 计算机科学 2014-10-30 Ali Soltani Tehrani , Jessica Chani , Thomas Eriksson , Christian Fager

This paper addresses the boundary output feedback stabilization of general 1-D reaction-diffusion PDEs with delayed boundary measurement. The output takes the form of a either Dirichlet or Neumann trace. The output delay can be arbitrarily…

最优化与控制 · 数学 2021-06-28 Hugo Lhachemi , Christophe Prieur

A delayed feedback control framework for stabilizing unstable periodic orbits of linear periodic time-varying systems is proposed. In this framework, act-and-wait approach is utilized for switching a delayed feedback controller on and off…

系统与控制 · 计算机科学 2018-02-16 Ahmet Cetinkaya , Tomohisa Hayakawa , Mohd Amir Fikri bin Mohd Taib

Active control of friction by ultrasonic vibration is a well-known effect with numerous technical applications ranging from press forming to micromechanical actuators. Reduction of friction is observed with vibration applied in any of the…

软凝聚态物质 · 物理学 2017-05-10 Mikhail Popov , Qiang Li

Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. In this work, two methods…

动力系统 · 数学 2018-05-25 Verónica E. Pastor , Graciela González

An optoelectronic oscillator exhibiting a large delay in its feedback loop is studied both experimentally and theoretically. We show that multiple square-wave oscillations may coexist for the same values of the parameters…

光学 · 物理学 2015-01-14 Lionel Weicker , Thomas Erneux , David P. Rosin , Daniel J. Gauthier