Devaney chaos plus shadowing implies distributional chaos
classification
🧮 math.DS
keywords
relationshadowingchaoschaoticdevaneypropertysystemasymptotic
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We explore connections among the regional proximal relation, the asymptotic relation and the distal relation for a topological dynamical system with the shadowing property, and show that if a Devaney chaotic system has the shadowing property then it is distributionally chaotic.
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