Symbolic dynamics behind the singular continuous power spectra of continuous flows

DOI10.1016/S0167-2789(97)00322-9zbMath0937.37002OpenAlexW1992669631MaRDI QIDQ1967248

Michael A. Zaks, Juergen Kurths, Arkadij S. Pikovskij

Publication date: 9 April 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00322-9

zbMATH Keywords

attractorPoincaré mapmultifractalitysymbolic sequencesdissipative flowsreturn mappingssingular continuous spectraPoincaré planesingular continuous fractal power spectra

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10)

Related Items (2)

Fractal Fourier spectra of Cherry flows ⋮ DYNAMICS BETWEEN ORDER AND CHAOS IN A SIMPLE REENTRANT MODEL OF PRODUCTION DYNAMICS

Cites Work

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• Bounds on the unstable eigenvalue for period doubling
• Two mechanisms of the transition to chaos in finite-dimensional models of convection
• Substitution dynamical systems - spectral analysis
• On the abundance of aperiodic behaviour for maps on the interval
• On the correlation dimension of the spectral measure for the Thue-Morse sequence
• Mixed spectra and rotational symmetry
• Fractal wavelet dimensions and localization
• Mixing for some classes of special flows over rotations of the circle
• Zur Operatorenmethode in der klassischen Mechanik
• Quantitative universality for a class of nonlinear transformations
• Scaling properties of a structure intermediate between quasiperiodic and random.
• Multifractal analysis in reciprocal space and the nature of the Fourier transform of self-similar structures
• WHICH DISTRIBUTIONS OF MATTER DIFFRACT ? AN INITIAL INVESTIGATION
• Deterministic Nonperiodic Flow

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