Results 11 to 20 of about 7,653 (211)
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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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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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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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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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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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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On Artifacts in Nonlinear Dynamics [PDF]
, 2017 Nonlinear oscillations are of permanent interest in the field of dynamics of mechanical and mechatronical systems. There exist several well-known semi-analytical methods like Harmonic Balance, perturbation analysis or multiple scales for such problems ...
Lentz, Lukas, Wagner, Utz von
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STUDY OF THE SINGULAR POINTS OF THE FRACTIONAL OSCILLATOR VAN DER POL-DUFFING [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 A study is conducted on the asymptotic stability of the rest points of the fractional oscillator Van der Pol-Duffing. The fractional van der Pol-Duffing oscillator is an oscillatory system of two differential equations with fractional order derivatives ...
Е. R. Novikova
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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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VAN DER POL-DUFFING OSCILLATOR WITH THE EFFECT OF HEREDITARY [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 The paper presents a new mathematical model of the van der Pol oscillator, Duffing with external periodic influence given hereditarity. An algorithm for finding the numerical solution of the original model equation, which is based on the finite ...
Novikovа E. R.
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