Fractal dimension of spatially extended systems

DOI10.1016/0167-2789(91)90166-7zbMath0729.58504OpenAlexW2144453995MaRDI QIDQ806151

G. P. Puccioni, Giampaolo D'Alessandro, Antonio Z. Politi, Alessandro Torcini

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90166-7

Mathematics Subject Classification ID

Global analysis, analysis on manifolds (58-XX)

Related Items

Density of defects and spatial entropy in extended systems, Spatio-temporal chaos: a solvable model, A robust method for detecting interdependences: Application to intracranially recorded EEG, A wavelet method for the characterization of spatiotemporal patterns, Invariant measure in coupled maps, Characterization of transition to chaos with multiple positive Lyapunov exponents by unstable periodic orbits, THE GENERALIZED HÉNON MAPS: EXAMPLES FOR HIGHER-DIMENSIONAL CHAOS, Estimation of intensive quantities in spatio-temporal systems from time-series, Scaling and interleaving of subsystem Lyapunov exponents for spatio-temporal systems

Cites Work

• Unnamed Item
• Long-range order in the scaling behaviour of hyperbolic dynamical systems
• Is the dimension of chaotic attractors invariant under coordinate changes?
• Extracting qualitative dynamics from experimental data
• Liapunov spectra for infinite chains of nonlinear oscillators.
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Period-Doubling of Kink-Antikink Patterns, Quasiperiodicity in Antiferro-Like Structures and Spatial Intermittency in Coupled Logistic Lattice: Towards a Prelude of a "Field Theory of Chaos"
• Ergodic theory of chaos and strange attractors