Van der Pol Oscillator
Stochastic P bifurcation in a bistable Van der Pol oscillator with fractional time delay feedback under Gaussian white noise excitation
... Duffing–Van der Pol oscillators with fractional derivative damping and time delay, found periodic solutions based on the residue harmonic balance method, and then accu- rately calculated the limited ...
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Chaos Suppression in forced Van Der Pol Oscillator
... This paper presents a new method of controlling chaos in the nonlinear Van Der Pol oscillator with uncertainties. The proposed method is based on a nonlinear observer to estimate unmeasured ...
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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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A New Analytical Approach for Solving Van der Pol Oscillator
... for Van der Pol oscillator together with numerical solution for ε = 1 has been provided in figure 2. The corresponding numerical results have been calculated by Runge-Kutta fourth order ...
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Application of Van der Pol oscillator screening for peripheral arterial disease in patients with diabetes mellitus
... a Van der Pol (VDP) oscillator screening for peripheral arterial disease (PAD) in patients with diabetes ...VDP oscillator uses asynchronous ...
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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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Identification of the Oscillator Parameters of the Van der Pol Oscillator Using Wavelet Analysis
... Advantages of Determining the Parameters of an Oscillator by Solving a System of Equations in the Space of Wavelet Coefficients Thus, the calculation of the original signal wavelet coeff[r] ...
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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 ...of Van der Pol ...The Van der Pol oscillator is ...
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Synchronization of Impulsive Real and Complex Van der Pol Oscillators
... The rest of the paper is organized as follows: In Section 2, a theory on the stability of impulsive nonlinear equations is given. In Section 3, we apply the impulsive synchronization technique to study the chaos synchro- ...
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Nonlinear Control of Chaotic Forced Duffing and Van der Pol Oscillators
... Duffing oscillator which features a second order non-linear differential equation describing complex motion whereas the second model is the Van der Pol oscillator with non-linear ...
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A dynamic ice-structure interaction model for ice-induced vibrations by using Van der Pol equation
... force-time oscillator, Van der Pol equation, which is used to model the saw-tooth shape of ice force fluctuation profile to demonstrate its internal natural failure behaviour, coupling the ...
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Developmental acquisition of entrainment skills in robot swinging using van der Pol oscillators
... the van der Pol oscillator in this study has resulted in a reduced search space compared to that of (Lungarella and Berthouze 2002), making our focus the resultant task performance ...
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Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
... The Van der Pol oscillator can be regarded as describing a mass-spring-damper system with a nonlinear position- dependent damping coefficient or, equivalently, an RLC electrical circuit with a ...
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Bifurcations of the Van der Pol–Duffing Oscillator
... the van der PolDuffing ...and van der Pol oscillators with the dependence on exciting frequency is shown for different values of exciting ...Duffing oscillator the ...
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Time Delay Induced Oscillation: An Example on a Class of n Coupled Van Der Pol Oscillators Model with Delays
... In recent years, there has been an increasing interest in studying van der Pol coupled oscillator models. Syn- chronization, which is defined as an adjustment of rhy- thms due to a weak ...
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Modelling of coupled cross-flow/in-line vortex-induced vibrations using double Duffing and van der Pol oscillators
... spring-mass-damper oscillator and a van der Pol wake oscillator to model a one-dimensional cross-flow vortex-induced vibration ...Duffing-van der Pol ...
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Stability and Oscillatory Behavior of the Solutions on a Class of Coupled Van der Pol-Duffing Equations with Delays
... the van der Pol (VDP) oscillator could model the typical self-excited or self-sustained ...coupled van der Pol or van der Pol-Duffing equations have ...
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Collective Behavior of a Ring of Van Der Pol Oscillators under Gaussian and Random Coupling Schemes
... Phase portraits for the gaussian distribution case are depicted in Figures 6(a)-(c). As the oscillator constant is increased, the coupled behavior goes from a single frequency with constant phase shift for a = 0.1 ...
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Approximation Behavior of Van der Pol Equation: Large and Small Nonlinearity Parameter
... where the unknown function x t are to be determined from the governing equation and the initial conditions. The hope is that all the important information is captured by the first term _ideally, the first two_ and the ...
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Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator
... In this paper, a powerful analytical method, called He’s homotopy perturbation method is applied to obtaining the approximate periodic solutions for some nonlinear differential equations in mathematical physics via ...
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