Dynamical properties of the shift maps on the inverse limit spaces

DOI10.1017/S0143385700006611zbMath0767.58029MaRDI QIDQ4024947

Shihai Li

Publication date: 18 February 1993

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

shift mapinverse limit space

Mathematics Subject Classification ID

Ergodic theory (37A99)

Related Items (19)

Chaotic equilibria in models with backward dynamics ⋮ Strongly commuting interval maps ⋮ Topological entropy of the induced maps of the inverse limits with bonding maps ⋮ Parametrized family of pseudo‐arc attractors: Physical measures and prime end rotations ⋮ On set-valued discrete dynamical systems ⋮ Martelli's chaos in inverse limit dynamical systems and hyperspace dynamical systems ⋮ A transitive homeomorphism on the Lelek fan ⋮ On conjugacy of natural extensions of one-dimensional maps ⋮ The Mean Sensitivity and Mean Equicontinuity in Uniform Spaces ⋮ \(\mathcal{F}\)-mixing property and \((\mathcal{F}_1,\mathcal{F}_2)\)-everywhere chaos of inverse limit dynamical systems ⋮ Prime ends dynamics in parametrised families of rotational attractors ⋮ Dynamical properties of shift maps on inverse limits with a set valued function ⋮ The inverse limits approach to chaos ⋮ The entropies and multifractal spectrum of some compact systems ⋮ Basins of measures on inverse limit spaces for the induced homeomorphism ⋮ A note on stronger forms of sensitivity for inverse limit dynamical systems ⋮ Chaos and entropy for circle maps ⋮ IMPLICIT EQUILIBRIUM DYNAMICS ⋮ Two results on entropy, chaos and independence in symbolic dynamics

Cites Work

• Unnamed Item
• The pseudo-arc as an inverse limit with one binding map
• Diffeomorphisms Obtained from Endomorphisms
• Topological Conjugacy and Transitivity for a Class of Piecewise Monotone Maps of the Interval
• On sensitive mappings of the interval
• Chaos, Periodicity, and Snakelike Continua

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