Regensburg 2022 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 18: Nonlinear Dynamics 1: Synchronization and Chaos (joint session DY/SOE)
DY 18.6: Vortrag
Dienstag, 6. September 2022, 12:30–12:45, H19
Chameleon attractors in deterministic and stochastic Lorenz-63 systems — •Reik V. Donner1,2, Tommaso Alberti3, and Davide Faranda4 — 1Hochschule Magdeburg-Stendal, Magdeburg, Germany — 2Potsdam Institute for Climate Impact Research, Potsdam, Germany — 3National Institute for Astrophysics, Rome, Italy — 4LSCE, Université Paris-Saclay, Gif-sur-Yvette, France
The dynamical chaacteristics of a trajectory on a chaotic or stochastic attractor undergo marked changes when successively eliminating the low-frequency variability components and focusing on the fast fluctuations only, motivating the new concept of Chameleon attractors. Here, we study the time scale dependent instantaneous and average fractal characteristics of partial sums of dynamical modes identified by means of empirical mode decomposition for the Lorenz-63 system and two stochastic versions thereof with additive and multiplicative noise as obtained by exploiting recurrences in phase space using extreme value theory. While the average fractal dimensions converge to the expected values as more and more low-frequency modes are included, we find an excess dimension larger than 3 for higher frequency modes below the Lyapunov time scale resulting from the stochastic components.