Localization in a Coupled Standard Map Lattice
نویسندگان
چکیده
We study spatially localized excitations in a lattice of coupled standard maps. Time-periodic solutions (breathers) exist in a range of coupling that is shown to shrink as the period grows to innnity, thus excluding the possibility of time-quasiperiodic breathers. The evolution of initially localized chaotic and quasiperiodic states in a lattice is studied numerically. Chaos is demonstrated to spread slowly along the lattice, with the globally chaotic regime appearing as an eventually statistically stationary state. A quasiperiodic initial state has extremely large life time for small couplings, and for large couplings evolves slowly into global chaos.
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