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Hamilton-Poisson Realizations for the Lü System

Author

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  • Camelia Pop
  • Camelia Petrişor
  • Dumitru Bălă

Abstract

The Hamilton-Poisson geometry has proved to be an interesting approach for a lot of dynamics arising from different areas like biology (Gümral and Nutku, 1993), economics (Dănăiasă et al., 2008), or engineering (Ginoux and Rossetto, 2006). The Lü system was first proposed by Lü and Chen (2002) as a model of a nonlinear electrical circuit, and it was studied from various points of view. We intend to study it from mechanical geometry point of view and to point out some of its geometrical and dynamical properties.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlmpe:842325
    DOI: 10.1155/2011/842325
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    Cited by:

    1. 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.
    2. Remus-Daniel Ene & Nicolina Pop, 2023. "Optimal Homotopy Asymptotic Method for an Anharmonic Oscillator: Application to the Chen System," Mathematics, MDPI, vol. 11(5), pages 1-14, February.

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