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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.