Regensburg 2010 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Posters II

DY 30.20: Poster

Donnerstag, 25. März 2010, 16:00–18:00, Poster C

Investigating Lyapunov spectra of spatially extended symplectic systems in the continuum limit by means of Langevin-type equations — •Ivan G. Szendro and Holger Kantz — Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany

We study Lyapunov spectra of spatially extended systems with symplectic symmetry in the spatial continuum limit, Δ x→ 0, by means of Langevin-type equations with colored noise. We find that, while the exponents corresponding to the most expanding and contracting directions converge to some finite values, the additional exponents are introduced into the spectrum around zero exponent. This leads to the appearance of an accumulation in the spectral density near zero that diverges in the continuum limit. The results are compared with data obtained for of the forced nonlinear Schrödinger equation.