Distributional van der Pol equation with state-dependent impulses∗

Rachůnková, Irena; Tomeček, Jan

doi:10.1007/s10986-018-9394-3

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2019

2024

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Cited by 4 publications

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“…Previous research has been conducted by a number of authors relating to the van der Pol equation [5][6][7][8] in physics [9][10], biology [11], economics [12], etc. [13][14][15]. Amongst them, Verhulst [5] provided a theorem about the order of accuracy of the formal expansion solution with respect to the perturbation factor in the damping term.…”

Section: Introductionmentioning

confidence: 99%

Formal expansion method for solving an electrical circuit model

Tjendro

Mungkasi

2019

TELKOMNIKA

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We investigate the validity of the formal expansion method for solving a second order ordinary differential equation raised from an electrical circuit problem. The formal expansion method approximates the exact solution using a series of solutions. An approximate formal expansion solution is a truncated version of this series. In this paper, we confirm using simulations that the approximate formal expansion solution is valid for a specific interval of domain of the free variable. The accuracy of the formal expansion approximation is guaranteed on the time-scale 1.

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