Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System

The main goal of this paper is to present an analytical integration in connection with the geometrical frame given by the Hamilton–Poisson formulation of a specific case of Chen’s system. In this special case we construct an analytic approximate solution using the Multistage Optimal Homotopy Asympto...

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Bibliographic Details
Published in:	Mathematics (Basel) Vol. 8; no. 9; p. 1530
Main Authors:	Ene, Remus-Daniel, Pop, Camelia, Petrişor, Camelia
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01-09-2020
Subjects:	Accuracy approximate solution Asymptotic methods Computer simulation Dynamical systems Electrical engineering Mathematical analysis multistage optimal homotopy asymptotic method nonlinear ordinary differential systems nonlinear stability ordinary differential equations solution of equations
Online Access:	Get full text
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Summary:	The main goal of this paper is to present an analytical integration in connection with the geometrical frame given by the Hamilton–Poisson formulation of a specific case of Chen’s system. In this special case we construct an analytic approximate solution using the Multistage Optimal Homotopy Asymptotic Method (MOHAM). Numerical simulations are also presented in order to make a comparison between the analytic approximate solution and the corresponding numerical solution.
ISSN:	2227-7390 2227-7390
DOI:	10.3390/math8091530