Results 81 to 90 of about 7,689 (210)

New method for solving strong conservative odd parity nonlinear oscillators: Applications to plasma physics and rigid rotator

AIP Advances, 2020
In the present work, a new method for solving a strong nonlinear oscillator equation of the form ẍ + F(x) = 0, where F(−x) = −F(x), is carried out. This method consists of approximating function F(x) by means of a suitable Chebyshev polynomial: F(x) ≈ P(
Ma’mon Abu Hammad, Alvaro H. Salas, S. A. El-Tantawy   +2 more
doaj   +1 more source

Analysis of nonlinear oscillators in the frequency domain using volterra series Part II : identifying and modelling jump Phenomenon [PDF]

, 2009
In this the second part of the paper, a common and severe nonlinear phenomenon called jump, a behaviour associated with the Duffing oscillator and the multi-valued properties of the response solution, is investigated.
Billings, S.A., Li, L.M.
core  

Tool Wear Detection Based on Duffing‐Holmes Oscillator [PDF]

Mathematical Problems in Engineering, 2008
The cutting sound in the audible range includes plenty of tool wear information. The sound is sampled by the acoustic emission (AE) sensor as a short‐time sequence, then worn wear can be detected by the Duffing‐Holmes oscillator. A novel engineering method is proposed for determining the chaotic threshold of the Duffing‐Holmes oscillator.
Song, Wanqing, Deng, Shen, Yang, Jianguo, Cheng, Qiang   +3 more
openaire   +1 more source

First integral method for an oscillator system

Electronic Journal of Differential Equations, 2013
In this article, we consider the nonlinear Duffing-van der Pol-type oscillator system by means of the first integral method. This system has physical relevance as a model in certain flow-induced structural vibration problems, which includes the van ...
Xiaoqian Gong, Jing Tian, Jiaoyan Wang
doaj  

Synchronization of an Uncertain Duffing Oscillator with Higher Order Chaotic Systems

International Journal of Applied Mathematics and Computer Science, 2018
The problem of practical synchronization of an uncertain Duffing oscillator with a higher order chaotic system is considered. Adaptive control techniques are used to obtain chaos synchronization in the presence of unknown parameters and bounded ...
Kabziński Jacek
doaj   +1 more source

High-order approximate solutions of strongly nonlinear cubic-quintic Duffing oscillator based on the harmonic balance method

Results in Physics, 2017
In this paper, a new reliable analytical technique has been introduced based on the Harmonic Balance Method (HBM) to determine higher-order approximate solutions of the strongly nonlinear cubic-quintic Duffing oscillator. The application of the HBM leads
M.S.H. Chowdhury, Md. Alal Hosen, Kartini Ahmad, M.Y. Ali, A.F. Ismail   +4 more
doaj   +1 more source

Enhanced THz Emission From Ultrathin Ta/Fe/Pt Spintronic Trilayers

Advanced Optical Materials, Volume 13, Issue 27, September 23, 2025.
Ultrathin Ta/Fe/Pt spintronic trilayers on MgO(100) substrates generate intense terahertz (THz) emission under femtosecond laser pulse excitation. Constructive interference of the emitted THz waves from Ta and Pt layers is maximized through crystallographic engineering of the Ta layer into a high‐resistivity fcc phase and optimization of the trilayer ...
Evangelos Th. Papaioannou, Laura Scheuer, Garik Torosyan, George P. Dimitrakopulos, Sławomir Kret, Alina D. Crisan, Ovidiu Crisan, René Beigang, Thomas Kehagias   +8 more
wiley   +1 more source

Analysis of fractional duffing oscillator

Revista Mexicana de Física, 2020
In this contribution, a simple analytical method (which is an elegant combination of a well known methods; perturbation method and Laplace method) for solving non-linear and non-homogeneous fractional differential equations is pro- posed. In particular, the proposed method was used to analysed the fractional Duffing oscillator.The technique employed in ...
openaire   +1 more source

Nanomechanical Systems for Reservoir Computing Applications

Advanced Intelligent Systems, Volume 7, Issue 8, August 2025.
Nanoelectromechanical systems (NEMS) are known for their strong nonlinear response, which can be conducive for reservoir computing. In this work, the authors build an NEMS‐based reservoir and investigate the classification accuracy as a function of drive levels and operation points.
Enise Kartal, Yunus Selcuk, Humayun Ahmed, Batuhan E. Kaynak, M. Taha Yildiz, Ramazan Tufan Erdogan, Cenk Yanik, Mehmet Selim Hanay   +7 more
wiley   +1 more source

Two-oscillator model of trapped-modes interaction in a nonlinear bilayer fish-scale metamaterial

, 2014
We discuss the similarity between the nature of resonant oscillations in two nonlinear systems, namely, a chain of coupled Duffing oscillators and a bilayer fish-scale metamaterial.
Kochetov, Bogdan A., Kochetova, Lyudmila A., Mladyonov, Pavel L., Prosvirnin, Sergey L., Tuz, Vladimir R.   +4 more
core   +1 more source