HOMOTOPY PERTURBATIONS METHOD: THEORETICAL ASPECTS & APPLICATIONS

Authors

Vladica Stojanović

Faculty of Sciences and Mathematics

Tijana Kevkić

Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Kosovska Mitrovica, Serbia

DOI 10.5937/univtho8-17290 Original page Cite this article

Keywords

Homotopy perturbations, convergence, MOSFET modeling, invariant measures, chaotic maps

Abstract

The application of the homotopy perturbation method (HPM) in two different research's area has been proposed in this paper. First, the HPM has been used for approximate solving of the well-known implicit equation for electrostatic surface potential of MOSFET transistor. The approximate analytical solution obtained in this case has relative simple mathematical form, and simultaneously high degree of accuracy. Next, HPM has been applied in determination of the invariant measures (IMs) of the non-linear dynamical systems with chaotic behavior. The convergence and efficiency of this method have been confirmed and illustrated in some characteristic examples of chaotic mappings.

Published

2018/06/30

Issue

Vol. 8 No. 1 (2018)

Section

Original Scientific Paper

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