Transport in Hamiltonian systems
The authors develop a theory of transport in Hamiltonian systems in the context of iteration of area-preserving maps. Invariant closed curves present complete barriers to transport, but in regions without such curves there are still invariant Cantor sets. In the regular components the motion is quasiperiodic and orbits lie in the KAM tori. By dividing the irregular components of phase space into regions separated by the strongest partial barriers, and assuming the motion is mixing within these regions, they present a global picture of transport.
theory of transport in Hamiltonian systems
scientific article; zbMATH DE number 3938105
scientific article