• Chaos and curvature in a quartic Hamiltonian system

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      https://www.ias.ac.in/article/fulltext/pram/040/01/0017-0023

    • Keywords

       

      Chaos; Riemannian curvature; Lyapunov exponents; 05·45; 03·20

    • Abstract

       

      Chaotic behaviour of a quartic oscillator system given byH l/2(p12+p22)+ (1/12)(1 -α) (q14+q24)+1/2q12q22 is studied. Though the Riemannian curvature is positive the system is nonintegrable except when S/B α = 0. Calculation of maximal Lyapunov exponents indicates a direct correlation between chaos and negative curvature of the potential boundary.

    • Author Affiliations

       

      M P Joy1 M Sabir1

      1. Department of Physics, Cochin University of Science and Technology, Cochin - 682 022, India
    • Dates

       
  • Pramana – Journal of Physics | News

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