Dresden 2009 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 3: Nonlinear dynamics, synchronization and chaos I

DY 3.4: Vortrag

Montag, 23. März 2009, 11:45–12:00, ZEU 118

Compactons in Strongly Nonlinear Lattices — •Karsten Ahnert and Arkady Pikovsky — Universität Potsdam, Institut für Physik und Astronomie, Karl-Liebknecht-Strasse 24/25, 14476 Potsdam-Golm, Germany

We study localized traveling waves and chaotic states in strongly nonlinear one-dimensional Hamiltonian lattices. A specific realization of such a system might be the Hertz lattice that describes elastically interacting hard balls. We show that the solitary waves are strongly localized compactons, and present an accurate numerical method allowing to find them for an arbitrary nonlinearity index. Compactons evolve fromrather general initially localized perturbations and collide nearly elastically, nevertheless on a long time scale for finite lattices an extensive chaotic state is generally observed.