Universality of algebraic laws in Hamiltonian systems

  • Venegeroles R
  • 18


    Mendeley users who have this article in their library.
  • 35


    Citations of this article.


Hamiltonian mixed systems with unbounded phase space are typically characterized by two asymptotic algebraic laws: decay of recurrence time statistics (gamma) and superdiffusion (beta). We conjecture the universal exponents gamma=beta=3/2 for trapping of trajectories to regular islands based on our analytical results for a wide class of area-preserving maps. For Hamiltonian mixed systems with a bounded phase space the interval 3/2< or =gamma_{b}< or =3 is obtained, given that trapping takes place. A number of simulations and experiments by other authors give additional support to our claims.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Roberto Venegeroles

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free