TY  - GEN
A1  - Politi, Antonio
A1  - Pikovskij, Arkadij
A1  - Ullner, Ekkehard
T1  - Chaotic macroscopic phases in one-dimensional oscillators
T2  - Postprints der Universität Potsdam Mathematisch-Naturwissenschaftliche Reihe
N2  - The connection between the macroscopic description of collective chaos and the underlying microscopic dynamics is thoroughly analysed in mean-field models of one-dimensional oscillators. We investigate to what extent infinitesimal perturbations of the microscopic configurations can provide information also on the stability of the corresponding macroscopic phase. In ensembles of identical one-dimensional dynamical units, it is possible to represent the microscopic configurations so as to make transparent their connection with the macroscopic world. As a result, we find evidence of an intermediate, mesoscopic, range of distances, over which the instability is neither controlled by the microscopic equations nor by the macroscopic ones. We examine a whole series of indicators, ranging from the usual microscopic Lyapunov exponents, to the collective ones, including finite-amplitude exponents. A system of pulse-coupled oscillators is also briefly reviewed as an example of non-identical phase oscillators where collective chaos spontaneously emerges.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 721 
KW  - networks
Y1  - 2019
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/42979
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus4-429790
SN  - 1866-8372
IS  - 721
ER  -