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

Remus-Daniel Ene, Camelia Pop and Camelia Petrişor
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Remus-Daniel Ene: Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania
Camelia Pop: Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania
Camelia Petrişor: Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania

Mathematics, 2020, vol. 8, issue 9, 1-14

Abstract: 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.

Keywords: ordinary differential equations; nonlinear ordinary differential systems; solution of equations; nonlinear stability; approximate solution; multistage optimal homotopy asymptotic method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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