1996/06/30 by F. Christiansen, Freddy Christiansen, Predrag Cvitanović +2 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Attractor #Bifurcation #CHAOS (operating system) #Chaotic #Computer science #Control theory (sociology) #Coupled map lattice #Crisis #Dynamics (music) #Hierarchy #Invariant (physics) #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Orbit (dynamics) #Parametrization (atmospheric modeling) #Periodic orbits #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Set (abstract data type) #Statistical physics #Synchronization of chaos #chao-dyn #nlin.CD
paper · pdf · doi:10.1088/0951-7715/10/1/004
Latex, ioplppt.sty and iopl10.sty, 18 pages, 11 PS-figures, compressed and encoded with uufiles, 170 kB
arxiv created 1996/07/01 · openalex publication_date 1997/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Spatiotemporally chaotic dynamics of a Kuramoto - Sivashinsky system is described by means of an infinite hierarchy of its unstable spatiotemporally periodic solutions. An intrinsic parametrization of the corresponding invariant set serves as an accurate guide to the high-dimensional dynamics, and the periodic orbit theory yields several global averages characterizing the chaotic dynamics.