Van der Pol (VDP) Oscillator
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 ...the VDP oscillator uses asynchronous ...
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Chaos Suppression in forced Van Der Pol Oscillator
... where , q and w are nonzero constant parameters. Different works [5] have shown that for various values of these parameters, the forced Van der Pol oscillator may exhibit a wide variety of ...
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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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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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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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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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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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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 ...
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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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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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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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A new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition method
... the Van der Pol equation can be expressed[12]. The Van der Pol oscillator is a self-maintained electrical circuit consisted of an inductor (L), a capacitor initially ...
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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 ...the oscillator constant on the ring behavior is also ...the oscillator constant are assumed, namely ...coupled ...
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Resonant response functions for nonlinear oscillators with polynomial type nonlinearities
... nonlinear oscillator. The example of a forced Van der Pol oscillator with an additional cubic stiffness nonlinearity is used to demonstrate how the general analysis can be ...
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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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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 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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Wake-induced transverse vibration of two interfering cylinders in tandem arrangement : modelling and analysis
... wake oscillator models based on the van der Pol and Rayleigh ...the van der Pol and Rayleigh equations are compared, and a combination of the two wake oscillators is ...
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Developmental acquisition of entrainment skills in robot swinging using van der Pol oscillators
... signal, oscillator output and motor commands are plotted against (oscillator) equation ...the oscillator produced stable, large and generally constant amplitude oscillations, while frequency- and ...
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