Results 61 to 70 of about 7,653 (211)

Integration of Base Excitation With Non‐Linear Coupling Within the Multiharmonic Balance Method

PAMM, Volume 25, Issue 4, December 2025.
ABSTRACT This study presents the implementation of linear and nonlinear base excitation within the Multiharmonic Balance framework. Two nonlinear approaches are explored: the introduction of relative coordinates and the direct inclusion of nonlinear base excitation as a nonlinear force. This is complemented by the derivation of the analytical Jacobian.
Tido Kubatschek, Tomke Julia Albers, Sebastian Tatzko, Jörg Wallaschek   +3 more
wiley   +1 more source

Reference Tracking and Disturbance Rejection for Nonlinear Systems Using LPV Control

International Journal of Robust and Nonlinear Control, Volume 35, Issue 18, Page 7748-7766, December 2025.
ABSTRACT The Linear Parameter‐Varying (LPV) framework has been introduced with the intention to provide stability and performance guarantees for analysis and controller synthesis for Nonlinear (NL) systems through convex methods. By extending results of the Linear Time‐Invariant framework, mainly based on quadratic stability and performance using ...
Patrick J. W. Koelewijn, Roland Tóth, Henk Nijmeijer, Siep Weiland   +3 more
wiley   +1 more source

Heteroclinic Bifurcation Behaviors of a Duffing Oscillator with Delayed Feedback

Shock and Vibration, 2018
The heteroclinic bifurcation and chaos of a Duffing oscillator with forcing excitation under both delayed displacement feedback and delayed velocity feedback are studied by Melnikov method.
Shao-Fang Wen, Ju-Feng Chen, Shu-Qi Guo
doaj   +1 more source

An analytical approximate technique for solving cubic–quintic Duffing oscillator

Alexandria Engineering Journal, 2016
In this paper, an analytical approximate technique combined of homotopy perturbation method and variational formulation is presented to obtain the approximate frequency and the corresponding periodic solution of strongly nonlinear oscillator named as ...
Md Abdur Razzak
doaj   +1 more source

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 a duffing oscillator that exhibits hysteresis with varying excitation frequency and amplitude [PDF]

, 2007
Hysteresis, or jump phenomenon, are a common and severe nonlinear behaviour associated with the Duffing oscillator and the multi-valued properties of the response solution.
Billings, S.A., Li, L.M.
core   +1 more source

Chaos of the Relativistic Parametrically Forced van der Pol Oscillator

, 1998
A manifestly relativistically covariant form of the van der Pol oscillator in 1+1 dimensions is studied. We show that the driven relativistic equations, for which $x$ and $t$ are coupled, relax very quickly to a pair of identical decoupled equations, due
Bogoliuboff, Cartwright, Cicogna, Geist, Glendinning, Greene, Guckenheimer, Habib, Hilborn, Horwitz, Horwitz, Jackson, Kaplan, Kryloff, Melnikov, Press, Sander, Schieve, Schmidt, Shaw, Stueckelberg, Tabor, Van der Pol, Van der Pol, Wolf   +24 more
core   +1 more source

Dynamic quantum tunneling in mesoscopic driven Duffing oscillators [PDF]

Physical Review E, 2011
We investigate the dynamic quantum tunneling between two attractors of a mesoscopic driven Duffing oscillator. We find that, in addition to inducing remarkable quantum shift of the bifurcation point, the mesoscopic nature also results in a perfect linear scaling behavior for the tunneling rate with the driving distance to the shifted bifurcation point.
Guo, Lingzhen, Zheng, Zhigang, Li, Xin-Qi, Yan, YiJing   +3 more
openaire   +4 more sources

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

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