Several sufficient conditions for sensitive dependence on initial conditions
type: Item
instance of: scholarly article
title: Several sufficient conditions for sensitive dependence on initial conditions
zbMATH Open document ID: 1180.37005
author: Risong Li
author: Yuming Shi
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-02-05T00:00:00Z
Mathematics Subject Classification ID: 37A05
Mathematics Subject Classification ID: 37A25
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 28D05
zbMATH DE Number: 5666178
zbMATH Keywords: sensitive dependence
zbMATH Keywords: topologically weakly mixing
zbMATH Keywords: topologically strong ergodicity
zbMATH Keywords: measure-preserving map
zbMATH Keywords: measure-preserving semi-flow
MaRDI profile type: Publication
full work available at URL: j.na.2009.11.018
OpenAlex ID: W2061858573
cites work: Chaotic properties of mappings on a probability space.
cites work: On Devaney's Definition of Chaos
cites work: Sensitive dependence on initial conditions
cites work: The large deviations theorem and ergodicity
cites work: Weak-mixing implies sensitive dependence
cites work: Everywhere chaotic homeomorphisms on manifolds and \(k\)-dimensional Menger manifolds
cites work: Q4787531
cites work: On some stochastic properties in Devaney's chaos
cites work: Q3931654
cites work: Q5298010
cites work: Q4778427
cites work: Q4455102
cites work: Q4744504
cites work: Q3264374
DOI: 10.1016/J.NA.2009.11.018
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description: scientific article; zbMATH DE number 5666178