Regensburg 2013 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 12: Nonlinear Dynamics, Synchronization and Chaos I
DY 12.2: Vortrag
Dienstag, 12. März 2013, 09:45–10:00, H48
Chaotic systems with absorption — •Eduardo G. Altmann1, Jefferson S. E. Portela2, and Tamas Tel3 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Fraunhofer Institute for Industrial Mathematics ITWM, Kaiserslautern, Germany — 3nstitute for Theoretical Physics - HAS Research Group, Eotvos University, Budapest, Hungary
In this talk we will introduce a dynamical-systems operator formalism to describe absorption. In opposite to scattering or open systems, in which trajectories escape, in systems with absorption (e.g., in acoustics and optics) it is the intensity associated to the trajectory (ray) which decays in time. Applying our formalism to fully chaotic systems we obtain new expressions for the escape rate and an increased multifractality of the invariant sets when compared to the spectrum of dimensions obtained without taking absorption and return times into account. Results are illustrated by analytical calculations in simple maps and simulations in the cardioid billiard.