Chaotic macroscopic phases in one-dimensional oscillators View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-06

AUTHORS

Antonio Politi, Arkady Pikovsky, Ekkehard Ullner

ABSTRACT

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. More... »

PAGES

1791-1810

Identifiers

URI

http://scigraph.springernature.com/pub.10.1140/epjst/e2017-70056-4

DOI

http://dx.doi.org/10.1140/epjst/e2017-70056-4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1086069742


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