Results 41 to 50 of about 7,745 (207)

Effects of noise on the internal resonance of a nonlinear oscillator [PDF]

, 2018
We numerically analyze the response to noise of a system formed by two coupled mechanical oscillators, one of them having Duffing and van der Pol nonlinearities, and being excited by a self-sustaining force proportional to its own velocity.
Zanette, Damian Horacio
core   +1 more source

Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
wiley   +1 more source

Application of Lyapunov exponent algorithm in balise signal chaotic oscillator detection

Journal of Measurement Science and Instrumentation, 2021
To improve the detection accuracy of the balise uplink signal transmitted in a strong noise environment, we use chaotic oscillator to detect the balise uplink signal based on the characteristics of the chaotic system that is sensitive to initial ...
ZHANG Hongyan, WANG Ruifeng
doaj  

Encoding Cumulation to Learn Perturbative Nonlinear Oscillatory Dynamics

Advanced Science, Volume 13, Issue 25, 4 May 2026.
Weak nonlinearities critically shape the long term behavior of oscillatory systems but are difficult to identify from data. A data‐driven framework is introduced to infer governing equations of weakly nonlinear oscillators from sparse and noisy observations.
Teng Ma, Ting‐Ting Gao, Wei Cui, Attilio Frangi, Gang Yan, Lin Zhao   +5 more
wiley   +1 more source

High-Intensity Discharge Lamp and Duffing Oscillator - Similarities and Differences

, 2017
The processes inside the arc tube of high-intensity discharge lamps are investigated by finite element simulations. The behavior of the gas mixture inside the arc tube is governed by differential equations describing mass, energy and charge conservation ...
Baumann, Bernd, Hallerberg, Sarah, Schwieger, Joerg, Stein, Ulrich, Wolff, Marcus   +4 more
core   +1 more source

Parametric Excitation of a Ferrimagnetic Sphere Resonator

Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.
The hypothesis that disentanglement spontaneously occurs in quantum systems is experimentally tested using a ferromagnetic resonator. Predictions derived from the hypothesis, and from an alternative theoretical model, are compared with the measured response of the resonator to an externally applied driving.
Eyal Buks
wiley   +1 more source

On Nonlinear Oscillations: Basins of Attraction, Harmonic Balance Solution Artifacts and Urabe's Existence Criterion for the Duffing Oscillator

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 4, April 2026.
ABSTRACT The Duffing oscillator is often considered as “the” prototype of a nonlinear oscillator as it exhibits many characteristic phenomena of nonlinear dynamics. One of these phenomena is the occurrence of multiple periodic solutions as considered here for the case of the harmonically excited slightly damped Duffing oscillator.
Hannes Dänschel, Lukas Lentz, Nils Gräbner, Utz von Wagner   +3 more
wiley   +1 more source

Replicate Periodic Windows in the Parameter Space of Driven Oscillators

, 2011
In the bi-dimensional parameter space of driven oscillators, shrimp-shaped periodic windows are immersed in chaotic regions. For two of these oscillators, namely, Duffing and Josephson junction, we show that a weak harmonic perturbation replicates these ...
Baptista, Bonatto, Bonatto, Bonatto, Braiman, Cardoso, Chacón, Chacón, Cicogna, Cirillo, de Souza, de Souza, E.S. Medeiros, Freire, Gallas, Gallas, Holmes, I.L. Caldas, Kapitaniak, Lima, Lorenz, Maranhão, Medeiros, Moon, Qu, R.O. Medrano-T, Ramírez-Ávila, S.L.T. de Souza, Slipantschuk, Stewart, Stoop, Ullmann, Viana Jr., Wolf, Zambrano   +34 more
core   +1 more source

Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2456-2462, 15 March 2026.
ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
wiley   +1 more source

2FSK Communication System Demodulation Algorithm for Novel Acoustically Excited SLF Antennas

水下无人系统学报
There exist some problems for acoustically excited super low frequency(SLF) antennas, such as low transmission power and low received signal-to-noise ratio. In addition, it is difficult to design a narrow-band filter in traditional binary frequency-shift
Xiayu ZHANG, Jiahao ZHANG, Jie JIAO, Yi LIU   +3 more
doaj   +1 more source