Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 10: Nonlinear Dynamics I

DY 10.9: Talk

Tuesday, March 23, 2010, 16:00–16:15, H46

Long lived chaotic transients in open Hamiltonian systems — •Tamás Kovács — Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

We focus in this work on the finite time chaotic behavior in low dimensional dynamical systems, especially, the simple configurations in astrodynamics. Our numerical results show the existence of an invariant fractal object, the well known chaotic saddle, in the phase space that is responsible for the chaotic transients. We present several quantitative properties (escape rate, fractal dimension, Lyapunov exponent) of the saddle and compare them with the quantities in the permanently chaotic regime. Finally, the stickiness affect appearing close to KAM tori in Hamiltonian systems will be discussed.