Van Der Pol Differential Equation (VDPDE)
Analytical Solution of Van Der Pol’s Differential Equation Using Homotopy Perturbation Method
... the Van der Pol Differential equation (VDPDE), which is a well-known nonlinear ...of Van Der Pol equation is developed using Dirichlet boundary con- ...
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Implicit Runge-Kutta Method for Van Der Pol Problem
... Abstract: In this manuscript the implicit Runge-Kutta (IRK) method, with three slopes of order five has been explained, and is applied to Van der pol stiff differential equation. ...
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A new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition method
... der Pol discovered stable oscillations, now known as limit cycles, in electrical circuits employing vacuum ...ordinary differential equation with cubic non linearity of Van der ...
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Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator
... The homotopy pertirabation method is one of the important methods to find the approximate solutions for non- linear partial differential equations in mathematical physics. The homotopy perturbation method, which ...
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Numerical solution of nonlinear third order Van der Pol oscillator
... order Van der Pol oscillator for differential equation related to nonlinearity for both parameters based on stiff and non-stiff ...nonlinear Van der Pol ...
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On Numerical Study of Parkinson Tremor
... The Van der Pol oscillator is a model nonlinear differential equation where p is the position coordinate, which is a func- tion of time, and µ > 0 is a scalar parameter indicating ...
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Time Delay Induced Oscillation: An Example on a Class of n Coupled Van Der Pol Oscillators Model with Delays
... t (13) with v s w s s , t t , . Based on the compare- son theory of differential equation we get v s w s , for t t . Thus, if the trivial solution w ...
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A New Analytical Approach for Solving Van der Pol Oscillator
... Van der Pol oscillation has become the interest of many researchers because of its various applications in human activities, sciences, technologies and industrial ...linear differential ...
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Nonlinear Control of Chaotic Forced Duffing and Van der Pol Oscillators
... non-linear differential equation describing complex motion whereas the second model is the Van der Pol oscillator with non-linear ...
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Approximation Behavior of Van der Pol Equation: Large and Small Nonlinearity Parameter
... In the early day of nonlinear dynamic, say from about 1920 to 1950, there was a great deal of research on nonlinear oscillation. The work was initially motivated by the development of radio and vacuum tube technology, ...
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Evaluation of Morphological Effect on Thermal and Mechanical Performance of PS/PMMA/CdS Nanocomposite Systems
... In the present study it appears that this energetic interaction between respective polymer phases and nanoparticles is of van der waal type interaction that restricts the mobility of pol[r] ...
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Collective Behavior of a Ring of Van Der Pol Oscillators under Gaussian and Random Coupling Schemes
... identical van der Pol oscillators, as is sketched in Figure 1, is ...coupled van der Pol oscillators goes from quasilinear to strongly nonlinear, depending on the kind of ...
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Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
... In order to show the accuracy of homotopy perturbation method (HPM) and parameter expanding method (PEM) for solving nonlinear equations and to compare it with exact solutions, we will consider the following examples. ...
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Relationship between Mathematical Parameters of Modified Van der Pol Oscillator Model and ECG Morphological Features
... [24]. Van der Pol and Van der Mark for the first time described and modeled the dynamic behavior of the heart using nonlinear relaxation oscillators ...of Van der ...
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Numerical scheme and dynamic analysis for variable order fractional van der Pol model of nonlinear economic cycle
... forced van der Pol model of nonlinear economic cycles, the con- tribution of the fractional forced van der Pol model of nonlinear economic cycles is that it can describe memory ...
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The physics behind Van der Burgh's empirical equation, providing a new predictive equation for salinity intrusion in estuaries
... Traditionally, researchers focused on vertical/longitudinal dispersion in prismatic estuaries (Hansen and Rattray, 1965) or cross-sectional varying estuaries (Prandle, 1981; Mac- Cready, 2004). Fischer (1972) concluded ...
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Modelling of coupled cross-flow/in-line vortex-induced vibrations using double Duffing and van der Pol oscillators
... An advanced model for predicting a 2-D coupled cross-flow/in-line VIV of a flexibly-mounted circular cylinder in a uniform steady flow has been developed, calibrated and validated. The ensuing dynamical system is based ...
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Differential Equation
... the differential equation is the highest exponent of the highest derivatives which occurs in it, after the differential equation has been made free from radicals and fractions as per the ...
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Variational iteration method for solving nth-order fuzzy integro-differential equations
... Saeid Moloudzadeh was born in the Naghadeh-Iran in 1976. He re- ceived B.Sc degree in mathematics and M.Sc degree in applied mathe- matics from Payam-e-Noor Univer- sity of Naghadeh, science and re- search Branch, IAU to ...
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EUSA Review 24/1 Winter 2011
... EU Public Opinion and Participation Interest Section European Publics and the Lisbon Agenda Maurits van der Veen At the European Council meeting in March 2000 in Lisbon, the national pol[r] ...
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