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Some Sufficient Conditions Under Which a Non-Autonomous Discrete System or Semi-Flow is Sensitive

https://doi.org/10.2139/ssrn.4124877
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23/23 checkable references clean · checked 2026-07-23

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

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The 23 checked references that resolve
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Sensitive dependence on initial conditions
resolves10.1016/j.chaos.2007.01.081
The large deviations theorem and ergodicity☆
resolves10.1017/CBO9780511998188
A First Course in Dynamics
resolves10.1016/j.jmaa.2004.06.066
Weak-mixing implies sensitive dependence
resolves10.1016/0166-8641(96)00008-9
Everywhere chaotic homeomorphisms on manifolds and k-dimensional Menger manifolds
resolves10.1016/j.chaos.2005.08.154
On some stochastic properties in Devaney’s chaos
resolves10.1017/CBO9780511608728
Ergodic Theory
resolves10.1007/978-1-4612-5775-2
An Introduction to Ergodic Theory
resolves10.1016/j.na.2009.11.018
Several sufficient conditions for sensitive dependence on initial conditions
resolves10.1016/S0252-9602(11)60328-7
On ℱ-sensitive pairs
resolves10.1360/04ys0120
Chaos in a topologically transitive system
resolves10.1016/j.chaos.2011.05.006
Devaney’s chaos on uniform limit maps
resolves10.4064/fm-160-2-161-181
Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval
resolves10.1016/j.cnsns.2017.12.011
Non-autonomous equations with unpredictable solutions
resolves10.1016/j.cnsns.2012.06.005
Chaos in nonautonomous discrete dynamical systems
resolves10.1016/j.aml.2014.08.007
Sensitivity of non-autonomous discrete dynamical systems
resolves10.1016/S0960-0779(02)00063-2
Some dynamical properties of continuous semi-flows having topological transitivity
resolves10.3906/mat-1612-39
Chaos-related properties on the product of semiflows
resolves10.1007/s11856-016-1326-5
Local time and first return time for periodic semi-flows
resolves10.1016/j.chaos.2012.02.003
A note on stronger forms of sensitivity for dynamical systems
resolves10.1080/14689367.2017.1371279
Several sufficient conditions for a map and a semi-flow to be ergodically sensitive
The 10 references without a DOI — listed, not checked
no DOI — not checkedref9
no DOI — not checkedSome properties of topologically ergodic maps
no DOI — not checkedChaos caused by a topologically mixing maps
no DOI — not checkedTopologically ergodic maps
no DOI — not checkedTopological ergodicity and topological double ergodicity
no DOI — not checkedref18
no DOI — not checkedTopological entropy of nonautonomous dynamical systems
no DOI — not checkedGeometric theory of discrete nonautonomous dynamical systems
no DOI — not checkedA note on chaos in product maps
no DOI — not checkedStronger forms of sensitivity for measure-preserving maps and semi-flows on probability spaces
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