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

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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Main Authors: Remus-Daniel Ene, Camelia Pop, Camelia Petrişor
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Mathematics
Subjects:
ordinary differential equations
nonlinear ordinary differential systems
solution of equations
nonlinear stability
approximate solution
multistage optimal homotopy asymptotic method
Online Access:https://www.mdpi.com/2227-7390/8/9/1530
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spelling doaj-ee48b111669142ec9f51a10e6048d4fa2020-11-25T03:43:31ZengMDPI AGMathematics2227-73902020-09-0181530153010.3390/math8091530Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s SystemRemus-Daniel Ene0Camelia Pop1Camelia Petrişor2Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, RomaniaDepartment of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, RomaniaDepartment of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, RomaniaThe 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.https://www.mdpi.com/2227-7390/8/9/1530ordinary differential equationsnonlinear ordinary differential systemssolution of equationsnonlinear stabilityapproximate solutionmultistage optimal homotopy asymptotic method
collection DOAJ
language English
format Article
sources DOAJ
author Remus-Daniel Ene
Camelia Pop
Camelia Petrişor
spellingShingle Remus-Daniel Ene
Camelia Pop
Camelia Petrişor
Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System
Mathematics
ordinary differential equations
nonlinear ordinary differential systems
solution of equations
nonlinear stability
approximate solution
multistage optimal homotopy asymptotic method
author_facet Remus-Daniel Ene
Camelia Pop
Camelia Petrişor
author_sort Remus-Daniel Ene
title Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System
title_short Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System
title_full Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System
title_fullStr Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System
title_full_unstemmed Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System
title_sort systematic review of geometrical approaches and analytical integration for chen’s system
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-09-01
description 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.
topic ordinary differential equations
nonlinear ordinary differential systems
solution of equations
nonlinear stability
approximate solution
multistage optimal homotopy asymptotic method
url https://www.mdpi.com/2227-7390/8/9/1530
work_keys_str_mv AT remusdanielene systematicreviewofgeometricalapproachesandanalyticalintegrationforchenssystem
AT cameliapop systematicreviewofgeometricalapproachesandanalyticalintegrationforchenssystem
AT cameliapetrisor systematicreviewofgeometricalapproachesandanalyticalintegrationforchenssystem
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