نتایج جستجو برای: Van der Pol ‎equation

تعداد نتایج: 437240  

2016
Zdeněk Kadeřábek

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). In this article the Bautin bifurcation of the autonomous system associated with the modified generalized Van der Pol-Mathieu equation has been proved. The existence of limit cycles is studied and the Lyapu...

E. Babolian S. Abbasbandy S. GH Hosseini,

‎‎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...

2006
Sandeep Chandana René V. Mayorga

Introduction Self Sustaining Oscillators are of interest to researchers given the fact that they provide for excellent test beds to study the nuances and intricacies involved in typical oscillatory systems. Numerous such oscillations have been studied using traditional numerical methods in the past, contrary to the propositions of this article. Majority of study of van der Pol equation like osc...

Journal: :international journal of industrial mathematics 2016
s. gh hosseini e. babolian s. abbasbandy

‎‎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...

2006
VASILE MARINCA NICOLAE HERIŞANU

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 ...

Journal: :Applied Mathematics and Computer Science 2014
Beata Zduniak Marek Bodnar Urszula Forys

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 electrocardiographic recordings. Our aim is to study periodic solutions of the modified van der Pol equation and take into consideration the influence o...

Journal: :Circuits and Systems 2011
Hüseyin Koçak Ahmet Yildirim Dahong Zhang Karem Boubaker Syed Tauseef Mohyud-Din

In this paper, the He’s parameter-expanding method (HPEM) and the 4q-Boubaker Polynomials Expansion Scheme (BPES) are used in order to obtain analytical solutions to the non-linear modified Van der Pol’s oscillating circuit equation. The resolution protocols are applied to the ordinary Van der Pol equation, which annexed to conjoint delayed feedback and delay-related damping terms. The results ...

2003
Peter H. Baxendale

Consider the stochastic Duffing-van der Pol equation ẍ = −ω2x− Ax −Bx2ẋ + εβẋ + εσxẆt with A ≥ 0 and B > 0. If β/2 + σ/8ω > 0 then for small enough ε > 0 the system (x, ẋ) is positive recurrent in R \ {0}. Let λ̃ε denote the top Lyapunov exponent for the linearization of this equation along trajectories. The main result asserts that λ̃ε ∼ ελ̃ as ε → 0 where λ̃ is the top Lyapunov exponent along tra...

Journal: :International Mathematical Forum 2013

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