نتایج جستجو برای: control linear oscillator and duffing oscillator

تعداد نتایج: 17065770  

‎The controlled harmonic oscillator with retarded damping‎, ‎is an important class of optimal control problems which has an important role in oscillating phenomena in nonlinear engineering systems‎. ‎In this paper‎, ‎to solve this problem‎, ‎we presented an analytical method‎. ‎This approach is based on the homotopy perturbation method‎. ‎The solution procedure becomes easier‎, ‎simpler and mor...

2000
Youngtae Kim Sang Yeol Lee Sang-Yoon Kim

Dynamic stabilization of an unstable periodic orbit, a new interesting non-equilibrium phenomenon in driven nonlinear systems, has been experimentally observed in an electronic analog circuit of a driven double-well Duffing oscillator. We suggest that the dynamic stabilization is a generic property of driven nonlinear systems with humped potentials. q 2000 Published by Elsevier Science B.V.

2011
Balakumar Balachandran

TheDuffing oscillator has become a classical paradigm for illustrating the remarkable jump phenomenon and other nonlinear behaviour [1,2]. The understanding gained on the basis of this low-order nonlinear systemhas helped in the development of reducedorder models of complex mechanical systems ranging from microscales to macroscales [3,4]. The nondimensional Duffing equation with damping and ext...

2010
Alexander Yu. Pogromsky A. S. Matveev

The paper deals with the problem of estimation of the topological entropy for non-autonomous systems of differential equations via the second (direct) Lyapunov method. The main result of the paper is illustrated by examples concerning the Lorenz system and Duffing oscillator.

Anooshivan Farshid Far, H. Zanganeh

In the present paper the behavior of an elastically mounted cylinder in low and high mass-damping ratio is investigated. For high mass-damping ratio, a classical wake oscillator model is used. At the first, by neglecting all damping and nonlinear terms of this model, the possibility of using a linear model for determination of the lock-in range and the dominant mode is investigated. Then, w...

The dynamical behaviour of the forced escape oscillator, which depends on the parameter values we considered, have been studied numerically using the techniques of phase portraits and Poincar'{e} sections. Also, we employed perturbation methods such as Lindstedt's method to obtain the frequency-amplitude relation of escape oscillator.

Journal: :Journal of Low Frequency Noise Vibration and Active Control 2023

In the present study, several successive approximate solutions of nonlinear oscillator are derived by using efficient frequency formula. A systematical analysis formulation helps to establish a general periodic solution. Each approximation represents, individually, solution oscillator. For optimal design and accurate prediction structural behavior, new optimizer is demonstrated for solutions. T...

Journal: :Physical review research 2022

Periodically driven oscillators are commonly described in a frame corotating with the drive and using rotating-wave approximation (RWA). This description, however, is known to induce errors for off-resonant driving. Here, we show that standard quantum creation annihilation of particles oscillators' natural frequency, necessarily leads incorrect results when combined RWA. We demonstrate this on ...

Journal: :Physical review 2022

We study microwave response of a Josephson parametric oscillator consisting superconducting transmission-line resonator with an embedded DC-superconducting quantum interference device (-SQUID). The DC-SQUID allows to control the magnitude Kerr nonlinearity over ranges where it is smaller or larger than photon loss rate. Spectroscopy measurements reveal change in from classical Duffing single de...

Journal: :Nonlinear Dynamics 2023

In practical engineering, it is difficult to establish complex nonlinear dynamic equations based on theories of mechanics. Data-driven models are built using neural networks in this paper meet the needs high dimension, multi-scale and precision. We construct a two-coefficient loss function for whole data-driven modeling substructure according linear multi-step method. The forward Euler method c...

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