Results 21 to 30 of about 13,243,241 (294)

Two-point block method for Van der Pol equation

, 2020
The second order ordinary differential equations (ODEs) of Van der Pol equation is treated by using the two-point block backward differentiation formula. Two types of Van der Pol equation which are stiff and nonstiff are considered.
Zainuddin, Nooraini, Ibrahim, Zarina Bibi   +1 more
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Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint

Journal of Applied Mathematics, 2014
This paper discusses the synchronization of the Van der Pol equation with a pendulum under the sinusoidal constraint through the theory of discontinuous dynamical systems.
Xiaohui Sun, Xilin Fu
doaj   +1 more source

Solving VAN der Pol equation using Banach Contraction Method / Hambali Kamarol Shaharim [PDF]

, 2023
The Van der Pol equation is a second-order nonlinear differential equation that can be found in a variety of domains such as electronics, biology, and physics.
Kamarol Shaharim, Hambali
core  

Van der Pol, Rayleigh and Duffing oscillators in discrete time dynamics

Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение, 2016
Using a combination of the method of invariance of pulse characteristics of dynamic systems and the method of parametric synthesis is proposed for time sampling in nonlinear models of oscillatory systems.
V. V. Zaitsev, D. B. Nuraev, A. N. Shilin   +2 more
doaj   +1 more source

A new iterative technique for solving Van der pol equation [PDF]

, 2020
In this article we proposed a new iterative technique namely a semi analytic iterative technique for solve van der pol equation. The Semi analytic iterative technique suggested by Temimi and Ansari in 2011 and it is solved several problems in different ...
Gani, Sayl, Aamer, Saif
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Approximate transformations for van der Pol‐type equations [PDF]

Mathematical Problems in Engineering, 2006
Classification of van der Pol‐type equations with respect to admitted approximate transformation groups transforming a small parameter is given. It is shown that approximate symmetries transforming the small parameter as well as the usual approximate symmetries can be used for approximate integration (e.g., by method of successive reduction of ...
Gazizov, R. K., Khalique, C. M.
openaire   +1 more source

Forcing, damping and detuning for single and coupled Van der Pol oscillators

, 2014
We use Melnikov function techniques together with geometric methods of bifurcation theory to study the interactions of forcing, damping and detuning on resonant periodic orbits for single and coupled forced Van Der Pol oscillators. For a coupled pair the
Afshar-Nejad, Z, Chillingworth, D.R.J
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Fractional dynamical model for the generation of ECG like signals from filtered coupled Van-der Pol oscillators

, 2013
In this paper, an incommensurate fractional order (FO) model has been proposed to generate ECG like waveforms. Earlier investigation of ECG like waveform generation is based on two identical Van-der Pol (VdP) family of oscillators, which are coupled by ...
Das, Saptarshi, Maharatna, Koushik
core   +1 more source

Differential Dynamical Systems in electrical circuits [PDF]

Journal of Electrical and Electronics Engineering, 2009
In this work is presented an overview aboutmathematical methods of differential dynamicalsystems in circuits theory. These methods are shortlypresented and there are given indications for/about theapplications.
Dan Scurtu, Nicolae Draghiciu, Apostolos Kokkosis   +2 more
doaj  

Towards the Resolution of a Quantized Chaotic Phase-Space: The Interplay of Dynamics with Noise

Entropy, 2023
We outline formal and physical similarities between the quantum dynamics of open systems and the mesoscopic description of classical systems affected by weak noise.
Domenico Lippolis, Akira Shudo
doaj   +1 more source