Topological conjugacy of piecewise monotonic functions of nonmonotonicity height \(\geq 1\)

DOI10.1016/j.jmaa.2014.10.063zbMath1336.37016OpenAlexW1973209312MaRDI QIDQ472385

Zbigniew Leśniak, Yong-guo Shi

Publication date: 19 November 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.063

zbMATH Keywords

topological conjugacyconjugacy equationnon-monotonicity height\(r\)-modal map

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Hybrid systems of functional-differential equations (34K34)

Related Items (10)

Conjugacy between piecewise monotonic functions and their iterative roots ⋮ Conjugacy problem of strictly monotone maps with only one jump discontinuity ⋮ \(C^0\) conjugacy between PM functions with nonmonotonicity height equal to 1 ⋮ Topological conjugacy for multifunctions with finitely many set-valued points and an application to iterative roots ⋮ Topological conjugacy between PM function and its iterative roots ⋮ A topological classification for piecewise monotone iterative roots ⋮ Topological conjugacy between multifunctions ⋮ Topological conjugacy of PM functions with height equaling ∞ ⋮ On non-monotonicity height of piecewise monotone functions ⋮ A topological classification of interval mappings with finitely many discontinuous points

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