Search Results - "Myszkowski, Adrian"
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Algebraic periods and minimal number of periodic points for smooth self-maps of $$\textbf{1}$$-connected $$\textbf{4}$$-manifolds with definite intersection forms
Published in Journal of fixed point theory and applications (01-06-2024)“…Let M be a closed 1-connected smooth 4-manifolds, and let r be a non-negative integer. We study the problem of finding minimal number of r -periodic points in…”
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Algebraic periods and minimal number of periodic points for smooth self-maps of 1-connected 4-manifolds with definite intersection forms
Published in Journal of fixed point theory and applications (01-06-2024)“…Let M be a closed 1-connected smooth 4-manifolds, and let r be a non-negative integer. We study the problem of finding minimal number of r -periodic points in…”
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Journal Article -
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Periodic expansion in determining minimal sets of Lefschetz periods for Morse–Smale diffeomorphisms
Published in Journal of fixed point theory and applications (01-06-2019)“…We apply the representation of Lefschetz numbers of iterates in the form of periodic expansion to determine the minimal sets of Lefschetz periods of…”
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Every finite set of natural numbers is realizable as algebraic periods of a Morse$\unicode{x2013}$Smale diffeomorphism
Published 22-08-2024“…A given self-map $f\colon M\to M$ of a compact manifold determines the sequence $\{L(f^n)\}_{n=1}^\infty$, of the Lefschetz numbers of its iterations. We…”
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