Chaotically driven sigmoidal maps

DOI10.1142/S0219493718500090zbMath1394.37047arXiv1610.10010MaRDI QIDQ4598555

Gerhard Keller, Atsuya Otani

Publication date: 21 December 2017

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.10010

zbMATH Keywords

Hausdorff dimensionattractorskew product

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• Unnamed Item
• On the dimension of the graph of the classical Weierstrass function
• Stability index, uncertainty exponent, and thermodynamic formalism for intermingled basins of chaotic attractors
• Dimension and recurrence in hyperbolic dynamics
• Hölder exponents and box dimension for self-affine fractal functions
• Hausdorff dimension of the graphs of the classical Weierstrass functions
• Bifurcation and Hausdorff dimension in families of chaotically driven maps with multiplicative forcing
• The box dimension of self-affine graphs and repellers
• On the Hausdorff dimension of some fractal sets
• The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations
• The Hausdorff dimension of graphs of Weierstrass functions
• Quasiperiodically forced interval maps with negative Schwarzian derivative
• Semi-uniform ergodic theorems and applications to forced systems
• Stability index for chaotically driven concave maps

This page was built for publication: Chaotically driven sigmoidal maps