Dr. B. van der Pol
نویسندگان
چکیده
منابع مشابه
Van der Pol Expansions of L-Series
We provide concise series representations for various L-series integrals. Different techniques are needed below and above the abscissa of absolute convergence of the underlying L-series. 1. Preliminaries. In [8] the following odd looking integral evaluation is obtained. ∫ ∞ 0 ( 3− 2 √ 2 cos (t log 2) ) |ζ (1/2 + it)| t2 + 1/4 dt = π log 2. (1) This identity turns out—formally—to be a case of a ...
متن کاملA new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition method
In this article, a new method is introduced to give approximate solution to Van der Pol equation. The proposed method is based on the combination of two different methods, the spectral Adomian decomposition method (SADM) and piecewise method, called the piecewise Adomian decomposition method (PSADM). The numerical results obtained from the proposed method show that this method is an...
متن کاملMultistability and Rare attractors in van der Pol-Duffing oscillator
Nonlinear systems exhibit a rich variety of different long-term behaviors such as: fixed points, limit cycles, quasiperiodic and chaotic behavior. In a complex system several attractors may coexist for a given set of system parameters. This coexistence is termed multistability and has been found in almost all research areas of natural science, such as: mechanics, electronics, biology, environme...
متن کاملExceptional Complex Solutions of the Forced Van Der Pol Equation
Consider the equation "v dv du = (1 ? u 2)v + ? u describing the orbits of the forced van der Pol equation " u + (u 2 ? 1) _ u + u = ; " a small parameter, (1) in the phase plane. The authors show the existence of two exceptional solutions corresponding to two conjugate complex exceptional values of the parameter near = 1 which remain close to the slow curve v = ?1=(u + 1) both in the direction...
متن کاملAn Approximate Solution for a Modified Van der Pol Oscillator
In this paper, a Van der Pol oscillator containing a periodic oscillator is considered. A simple and effective iteration procedure to search the solution of the modified Van der Pol oscillator equation is proposed. This procedure is a powerful tool for determination of periodic solution of a non-linear equation of motion. The solutions obtained using the present iteration procedure are in good ...
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ژورنال
عنوان ژورنال: Nature
سال: 1959
ISSN: 0028-0836,1476-4687
DOI: 10.1038/1841020a0