Journal
PHYSICAL REVIEW LETTERS
Volume 102, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.102.064101
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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 <=gamma(b)<= 3 is obtained, given that trapping takes place. A number of simulations and experiments by other authors give additional support to our claims.
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