• Invariants of chaotic Hamiltonian systems

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      https://www.ias.ac.in/article/fulltext/pram/044/04/0295-0302

    • Keywords

       

      Integrability; Liapunov exponents; chaos; Hamiltonian systems

    • Abstract

       

      The invariants of chaotic bounded Hamiltonian systems and their relation to the solutions of the first variational equations of the equations of motion are studied. We show that these invariants are characterized by the fact that they either lose the property of differentiability as functions on phase space or that a certain formal power series defined in terms of the derivatives of the invariants has zero radius of convergence. For a specific example, we show that the former possibility appears to apply.

    • Author Affiliations

       

      B R Sitaram1

      1. Physical Research Laboratory, Navrangpura, Ahmedabad - 380 009, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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