Periodic orbits in coupled Hénon maps: Lyapunov and multifractal analysis

DOI10.1063/1.165871zbMath1055.37507OpenAlexW2022884125WikidataQ30799379 ScholiaQ30799379MaRDI QIDQ4526250

Alessandro Torcini, Antonio Z. Politi

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165871

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

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Local Lyapunov exponents for spatiotemporal chaos ⋮ Extreme sensitive dependence on parameters and initial conditions in spatio-temporal chaotic dynamical systems ⋮ A chaotic lattice field theory in one dimension* ⋮ Chronotopic Lyapunov analysis. I. A detailed characterization of \(1\)D systems ⋮ Characterization of the spatial complex behavior and transition to chaos in flow systems ⋮ Predictability: a way to characterize complexity ⋮ Detecting direct causality in multivariate time series: a comparative study ⋮ Riddling: Chimera’s dilemma ⋮ Dynamics of chaos-order interface in coupled map lattices ⋮ Phase transitions in 2D linearly stable coupled map lattices ⋮ A novel integration scheme for partial differential equations: an application to the complex Ginzburg-Landau equation ⋮ Chronotopic Lyapunov analysis. II: Toward a unified approach ⋮ UNIVERSAL MULTIFRACTAL STATIONARY DENSITIES IN EXPANDING PIECEWISE LINEAR COUPLED MAPS

Cites Work

• 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"
• Distribution of characteristic exponents in the thermodynamic limit
• On the symbolic dynamics of the Henon map
• Fractal measures and their singularities: The characterization of strange sets
• Characterization of unstable periodic orbits in chaotic attractors and repellers

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