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

Author

Listed:
  • Remus-Daniel Ene

    (Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania
    These authors contributed equally to this work.)

  • Camelia Pop

    (Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania
    These authors contributed equally to this work.)

  • Camelia Petrişor

    (Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Remus-Daniel Ene & Camelia Pop & Camelia Petrişor, 2020. "Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System," Mathematics, MDPI, vol. 8(9), pages 1-14, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1530-:d:410297
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    References listed on IDEAS

    as
    1. Camelia Pop & Camelia Petrişor & Dumitru Bălă, 2011. "Hamilton-Poisson Realizations for the Lü System," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-13, March.
    2. Li, Guo-Hui, 2007. "Generalized projective synchronization between Lorenz system and Chen’s system," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1454-1458.
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