Results 11 to 20 of about 13,243,241 (294)
The Van der Pol equation: qualitative and numerical study [PDF]
Revista de Matemática: Teoría y Aplicaciones, 2023 This expositive paper aims at the study of nonlinear equations, focused on the van der Pol equation, including deduction, qualitative analysis, and numerical examples. The van der Pol equation is deduced using an electrical circuit as a physical model.
Pinto, Vinícius Justen +1 more
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Analisa Kestabilan dan Solusi Pendekatan Pada Persamaan Van der Pol [PDF]
JTAM (Jurnal Teori dan Aplikasi Matematika), 2019 Abstrak: Di dalam tulisan ini disajikan analisa kestabilan, diselidiki eksistensi dan kestabilan limit cycle, dan ditentukan solusi pendekatan dengan menggunakan metode multiple scale dari persamaan Van der Pol.
Yuni Yulida, Muhammad Ahsar Karim
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A modified van der Pol equation with delay in a description of the heart action [PDF]
International Journal of Applied Mathematics and Computer Science, 2014 In this paper, a modified van der Pol equation is considered as a description of the heart action. This model has a number of interesting properties allowing reconstruction of phenomena observed in physiological experiments as well as in Holter ...
Zduniak Beata +2 more
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An analogy between the Van der Pol equation and the Greitzer model
2009 European Control Conference (ECC), 2009 This paper presents the idea to exploit the similarity between the Van der Pol equation and the Greitzer lumped parameter model. The Greitzer model is a widely used nonlinear model to describe surge transients in turbocompressors. One of the difficulties in applying this model is the identification of the model parameters.
Marjan Nieuwenhuizen +2 more
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Active Control based on Adaptive Filters for Elastic Supported Cylinders
Jurnal Elkomika, 2023 ABSTRAK Dalam makalah ini, kami menyajikan strategi kontrol feedforward baru disajikan untuk kontrol getaran induksi aliran dari silinder tabung yang ditopang balok kantilever elastis yang dipasang melintang.
SUBEKTI SUBEKTI +3 more
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Approximate solutions of the fractional damped nonlinear oscillator subject to Van der Pol system
Journal of Low Frequency Noise, Vibration and Active Control, 2023 This paper deals with fractal Van der Pol damped nonlinear oscillators equation having nonlinearity. By combining the techniques of the Laplace transform and the variational iteration method, we establish approximate periodic solutions for the fractal ...
Yanni Zhang, Zhen Zhao, Jing Pang
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Designing for Fashion with the Van der Pol Equation
This paper celebrates Balthasar Van der Pol’s equation, a significant contribution to mathematics developed in Eindhoven a century ago, by exploring its artistic potential. We delve into the equation’s history, rooted in early 20th-century radio technology, and its mathematical properties to generate visualizations.
Jacobs, Ralf, Feijs, Loe M.G.
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Chaos in Van der Pol's equation
Journal of the Franklin Institute, 1990 For a modified Van der Pohl's equation with forcing function the authors present figures representing three cases of chaotic behavior and other three where limit cycles arise.
Ku, Y. H., Sun, Xiaoguang
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Bautin bifurgation of a modified generalized Van der Pol-Mathieu equation [PDF]
, 2016 summary:The modified generalized Van der Pol-Mathieu equation is generalization of the equation that is investigated by authors Momeni et al. (2007), Veerman and Verhulst (2009) and Kadeřábek (2012).
Kadeřábek, Zdeněk
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Solving Duffing-Van der Pol Oscillator Equations of Fractional Order by an Accurate Technique [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, an accurate technique is used to find an approximate solution to the fractional-order Duffing-Van der Pol (DVP, for short) oscillators equation which is reproducing kernel Hilbert space (RKHS, for short ) method. The numerical results show
Nourhane Attia +3 more
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