Predicting chaos for infinite dimensional dynamical systems: the Kuramoto-Sivashinsky equation, a case study.

DOI10.1073/pnas.88.24.11129zbMath0757.58027OpenAlexW2163786768WikidataQ37641704 ScholiaQ37641704MaRDI QIDQ4021805

Demetrios T. Papageorgiou, Yiorgos-Sokratis Smyrlis

Publication date: 17 January 1993

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.88.24.11129

zbMATH Keywords

chaosKuramoto-Sivashinsky equationperiod doubling bifurcationsinfinite dimensional dynamical systems

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

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