Results 71 to 80 of about 7,653 (211)
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 +4 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 +3 more
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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 +7 more
wiley +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
Non-equilibrium steady state of a driven levitated particle with feedback cooling
, 2015 Laser trapped nanoparticles have been recently used as model systems to study fundamental relations holding far from equilibrium. Here we study, both experimentally and theoretically, a nanoscale silica sphere levitated by a laser in a low density gas ...
Dellago, Christoph +3 more
core +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7609-7629, 15 May 2025.This contribution aims at studying a general class of random differential equations with Dirac‐delta impulse terms at a finite number of time instants. Our approach directly addresses calculating the so‐called first probability density function, from which all the relevant statistical information about the solution, a stochastic process, can be ...
Vicente J. Bevia +2 more
wiley +1 more source
High order analysis of nonlinear periodic differential equations
, 2003 In this letter we apply a method recently devised in \cite{aapla03} to find precise approximate solutions to a certain class of nonlinear differential equations.
Amore +9 more
core +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
Jump resonance in the driven Chua's circuit to design frequency selective devices
International Journal of Circuit Theory and Applications, Volume 53, Issue 5, Page 2996-3012, May 2025.The paper defines the conditions for the emergence of jump resonance in the driven Chua's circuit. Jump resonance features are characterized by means of numerical simulations and through an experimental circuit. Guidelines to design the Chua's circuit parameters to have the desired jump features are introduced, providing a strategy to realize highly ...
Arturo Buscarino +2 more
wiley +1 more source