Results 11 to 20 of about 7,745 (207)
A new Duffing detection method for underwater weak target signal
Alexandria Engineering Journal, 2022 On the basis of the double coupled Duffing oscillator, a differential double coupled Duffing oscillator method, called the proposed method 1, is proposed.
Guohui Li, Yongming Hou, Hong Yang
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Time after time - circadian clocks through the lens of oscillator theory. [PDF]
FEBS LettOscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Del Olmo M, Ector C, Herzel H.
europepmc +2 more sources
Ansatz and Averaging Methods for Modeling the (Un)Conserved Complex Duffing Oscillators
Mathematics, 2023 In this study, both the ansatz and averaging methods are carried out for analyzing the complex Duffing oscillators including the undamped/conserved complex Duffing oscillator (CDO) and the damped/unconserved CDO to obtain some approximate analytical ...
Weaam Alhejaili +2 more
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Detection of coupling in Duffing oscillator systems [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021 In complex dynamical systems, the detection of coupling and its direction from observed time series is a challenging task. We study coupling in coupled Duffing oscillator systems in regular and chaotic dynamical regimes. By observing the conditional mutual information (CMI) based on the Shannon entropy, we successfully infer the direction of coupling ...
Martin Brešar +2 more
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The bistable Duffing oscillator in discrete time
Физика волновых процессов и радиотехнические системы, 2020 The dynamics of an oscillatory system with a soft cubic-nonlinear return force a bistable Duffing oscillator, in discrete time are consider. The mathematical analysis is based on a continuous-time model in the form of the Duffing equation.
V.V. Zaitsev
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Mathematical Model of Fractional Duffing Oscillator with Variable Memory
Mathematics, 2020 The article investigates a mathematical model of the Duffing oscillator with a variable fractional order derivative of the Riemann–Liouville type. The study of the model is carried out using a numerical scheme based on the approximation of the fractional
Valentine Kim, Roman Parovik
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Transition Through Resonance of a Duffing Oscillator [PDF]
SIAM Journal on Applied Mathematics, 1979 This note describes the transition through resonance of a weakly nonlinear oscillator. The oscillator is described by Duffing’s equation and the forcing frequency varies very slowly in the neighborhood of the natural frequency of the linearized equation. When the damping is sufficiently small, oscillations are excited on a wide variety of timescales.
Collinge, I, Ockendon, J
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Journal of Low Frequency Noise, Vibration and Active Control, 2022 The Duffing oscillator equation is one of important equations that model several nonlinear phenomena in science and engineering. The differential transform method (DTM) is applied to obtain the solutions of homogeneous and non-homogeneous Duffing ...
Noufe H Aljahdaly, Maram A Alharbi
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Stability analysis of a noise-induced Hopf bifurcation [PDF]
, 2003 We study analytically and numerically the noise-induced transition between an absorbing and an oscillatory state in a Duffing oscillator subject to multiplicative, Gaussian white noise.
Mallick, Kirone, Marcq, Philippe
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Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector [PDF]
, 2008 We carry out a quantum analysis of a dc SQUID mechanical displacement detector, comprising a SQUID with mechanically compliant loop segment, which is embedded in a microwave transmission line resonator.
C. Gardiner +5 more
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