Stronger forms of sensitivity for measure-preserving maps and semiflows on probability spaces

DOI10.1155/2014/769523zbMath1474.37002OpenAlexW1985194270WikidataQ59041356 ScholiaQ59041356MaRDI QIDQ1724934

Yuming Shi, Risong Li

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/769523

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05)

Related Items (21)

Time-restricted sensitivity and entropy for random dynamical systems ⋮ Broken family sensitivity in transitive systems ⋮ Sensitivity of iterated function systems under the product operation ⋮ Characterizing ergodicity of induced hyperspace dynamical systems ⋮ Sensitivity for topologically double ergodic dynamical systems ⋮ The complexity of an induced system of \(\mathbb{Z}^2\)-actions ⋮ Measurable \(n\)-sensitivity and maximal pattern entropy ⋮ Sensitivity, proximal extension and higher order almost automorphy ⋮ The topological entropy of cyclic permutation maps and some chaotic properties on their MPE sets ⋮ Auslander-Yorke type dichotomy theorems for stronger versions of $r$-sensitivity ⋮ F-sensitivity and (F_1, F_2)-sensitivity between dynamical systems and their induced hyperspace dynamical systems ⋮ Chaos in a topologically transitive semi-flow ⋮ A quantitative approach to syndetic transitivity and topological ergodicity ⋮ Multi-sensitivity, syndetical sensitivity and the asymptotic average- shadowing property for continuous semi-flows ⋮ On stronger forms of sensitivity in non-autonomous systems ⋮ Measurable sensitivity via Furstenberg families ⋮ A note on stronger forms of sensitivity for inverse limit dynamical systems ⋮ Time-restricted sensitivity and entropy ⋮ Sensitivity of non-autonomous discrete dynamical systems ⋮ On variants of n-sensitivity in semiflows ⋮ Recent development of chaos theory in topological dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Measure-theoretical sensitivity and equicontinuity
• Several sufficient conditions for sensitive dependence on initial conditions
• Sensitivity and regionally proximal relation in minimal systems
• Chaotic properties of mappings on a probability space.
• Weak-mixing implies sensitive dependence
• Chaos in a topologically transitive system
• On some stochastic properties in Devaney's chaos
• On pairwise sensitivity
• On sensitive sets in topological dynamics
• Measurable sensitivity
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions
• Li–Yorke sensitivity
• Stronger forms of sensitivity for dynamical systems

This page was built for publication: Stronger forms of sensitivity for measure-preserving maps and semiflows on probability spaces