van der Pol differential equation
Analytical Solution of Van Der Pol’s Differential Equation Using Homotopy Perturbation Method
... In this research, HPM is applied for the solution of the Van Der Pol differential equation with different boundary conditions. One, two and three parameters HP solutions are developed ...
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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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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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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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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
... nonlinear differential equations of ...of Van der Pol that is used to govern nonlinear damping and represent the second-order nonlinear ordinary differential ...order Van ...
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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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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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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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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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Why could ice ages be unpredictable?
... Let us now consider a third scenario. Parameter τ = 41, but an additive stochastic term (σ dω dt , σ 2 = 0.25ka −1 , and ω symbolises a Wiener process) is added to the second system equation. This is thus a ...
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In silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis
... We built a one-dimensional (1-D), hollow-fiber geometry, ordinary differential equation (ODE) and partial differential equation (PDE) countercurrent hemodialyzer model (ODE/ PDE model). The ...
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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 with nonlinear eco- nomic cycle to the VOFVDPM, which considers the memory in an economic series vary- ing with ...fractional van der Pol ...
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Analytical Models for Quark Stars with Van Der Waals Modified Equation of State
... with Van der Waals modified (VDWM) equation of state proposed for Malaver [49] in a static spherically symmetric space-time using a gravitational potential Z(x) which depends on an adjustable ...
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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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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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Exchanged Nonlinear Third Order Differential Equation Ordinary Differential Equation
... Ordinary differential equations function we investigate the asymptotical stability and bounded ness of solution or 3rd order nonlinear differential ...order differential equation, as we know ...
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Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
... In [4], we adopt operational calculus in the framework of distribution theory developed for the solution of the fDE with constant coefficients in [5,6]. In [4], we give the recipe of obtaining the solution of the ...
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Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
... inhomogeneous equation as well as the homogeneous one, in the style of operational calculus in the framework of distribution ...homogeneous equation is attain- ...
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