Effective Dynamics in Hamiltonian Systems with Mixed Phase Space

A E Motter, A P S de Moura, C Grebogi, H Kantz

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


An adequate characterization of the dynamics of Hamiltonian systems at physically relevant scales has been largely lacking. Here we investigate this fundamental problem and we show that the finite-scale Hamiltonian dynamics is governed by effective dynamical invariants, which are significantly different from the dynamical invariants that describe the asymptotic Hamiltonian dynamics. The effective invariants depend both on the scale of resolution and the region of the phase space under consideration, and they are naturally interpreted within a framework in which the nonhyperbolic dynamics of the Hamiltonian system is modeled as a chain of hyperbolic systems.

Original languageEnglish
Article number036215
Number of pages5
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number3
Publication statusPublished - Mar 2005


  • area-preserving maps
  • chaotic scattering
  • transport
  • fluctuations
  • coefficients
  • exponent
  • escape


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