Fractal dimensions and two-dimensional slow-fast systems

DOI10.1016/j.jmaa.2021.125212zbMath1470.34150OpenAlexW3149944699MaRDI QIDQ2033235

Renato Huzak, Domagoj Vlah, Vlatko Crnković

Publication date: 14 June 2021

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.2021.125212

zbMATH Keywords

box dimensionslow-fast systemsfractal zeta functionslow relation functionslow-fast Hopf point

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Bifurcation theory for ordinary differential equations (34C23) Other Dirichlet series and zeta functions (11M41) Fractals (28A80) Singular perturbations for ordinary differential equations (34E15) Dimension theory of smooth dynamical systems (37C45) Canard solutions to ordinary differential equations (34E17)

Related Items (4)

Minkowski dimension and slow-fast polynomial Liénard equations near infinity ⋮ Fractal codimension of nilpotent contact points in 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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