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Box dimension and bifurcations of one-dimensional discrete dynamical systems

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Publication:765099
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DOI10.3934/dcds.2012.32.1287zbMath1282.37019OpenAlexW2332849115MaRDI QIDQ765099

Lana Horvat Dmitrović

Publication date: 19 March 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.1287

zbMATH Keywords

multiplicitybifurcationlimit cyclebox dimensionweak focusnonhyperbolic fixed pointMinkowski content\(k\)-nondegenerate map


Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Dynamics induced by flows and semiflows (37C10) Dimension theory of smooth dynamical systems (37C45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)


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FRACTAL ANALYSIS OF HOPF BIFURCATION AT INFINITY, Box dimension of Neimark–Sacker bifurcation, Fractal dimensions and two-dimensional slow-fast systems, Fractal analysis of planar nilpotent singularities and numerical applications, Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations



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