The investigation of chaos conditions of some dynamical systems on the Sierpinski propeller

DOI10.1016/J.CHAOS.2022.112123zbMath1505.37047OpenAlexW4229444316MaRDI QIDQ2113113

Nisa Aslan, Mustafa Saltan, Saliha Şeker

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112123

zbMATH Keywords

topological conjugacyperiodic pointschaotic dynamical systemsintrinsic metricscode representationsSierpinski propeller

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Cites Work

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• The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron
• Isoperimetric Estimates on Sierpinski Gasket Type Fractals
• Smale’s Horseshoe Map via Ternary Numbers
• An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation
• The Role of Transitivity in Devaney's Definition of Chaos
• GEODESICS OF THE SIERPINSKI GASKET
• GEODESICS OF HIGHER-DIMENSIONAL SIERPINSKI GASKET
• A geometric property of the Sierpiński carpet
• A discrete chaotic dynamical system on the Sierpinski gasket

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