INVARIANCE OF KNEADING MATRIX UNDER CONJUGACY

DOI10.4134/JKMS.j190378zbMath1476.37060OpenAlexW3141866012MaRDI QIDQ5001897

Chaitanya Gopalakrishna, Murugan Veerapazham

Publication date: 23 July 2021

Full work available at URL: http://koreascience.or.kr:80/article/JAKO202109651118471.pdf

zbMATH Keywords

topological conjugacykneading determinantkneading matrixpiecewise monotone map

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems involving maps of the interval (37E05)

Cites Work

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• Kneading theory analysis of the Duffing equation
• Adding machines, kneading maps, and endpoints
• Kneading with weights
• What you need to know to knead
• Iterates of piecewise monotone mappings on an interval
• A first course in discrete dynamical systems
• Weighted kneading theory of one-dimensional maps with a hole
• Kneading theory: a functorial approach
• Semi-conjugacies and inverse limit spaces
• Kneading theory for tree maps
• PM functions, their characteristic intervals and iterative roots
• RELATION BETWEEN KNEADING MATRICES OF A MAP AND ITS ITERATES

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