Unpredictable points and stronger versions of Ruelle-Takens and Auslander-Yorke chaos

DOI10.1016/j.topol.2018.11.023zbMath1419.37011OpenAlexW2902841550WikidataQ128871519 ScholiaQ128871519MaRDI QIDQ1755427

Alica Miller

Publication date: 9 January 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2018.11.023

zbMATH Keywords

sensitivitychaosmetric spacetopological dynamicsmonoidssemiflowsPoisson stable pointsunpredictable points

Mathematics Subject Classification ID

Related Items (7)

Unpredictability in quasilinear non-autonomous systems with regular moments of impulses ⋮ Quasilinear systems with unpredictable relay perturbations ⋮ Sensitivity and unpredictability in semiflows on topological spaces ⋮ Strongly Ruelle-Takens, strongly Auslander-Yorke and Poincaré chaos on semiflows ⋮ Shunting inhibitory cellular neural networks with strongly unpredictable oscillations ⋮ Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations ⋮ Sensitivity and chaos on product and on hyperspatial semiflows

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• A note on sensitivity of semigroup actions
• On the nature of turbulence
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions
• Chaos-related properties on the product of semiflows

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