Results 21 to 30 of about 7,689 (210)
Model modification and feature study of Duffing oscillator
With the development of chaos theory, Duffing oscillator has been extensively studied in many fields, especially in electronic signal processing. As a nonlinear oscillator, Duffing oscillator is more complicated in terms of equations or circuit analysis.
Ting Chen, Xiangyu Cao, Dezhi Niu
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A new Duffing detection method for underwater weak target signal
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
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
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]
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
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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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]
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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The dynamics of the pendulum suspended on the forced Duffing oscillator [PDF]
We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitation) which presents both oscillating and rotating periodic solutions of ...
Brzeski, Piotr +3 more
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VAN DER POL-DUFFING OSCILLATOR WITH THE EFFECT OF HEREDITARY [PDF]
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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