Box dimension and cyclicity of Canard cycles

DOI10.1007/s12346-017-0248-xzbMath1402.34063OpenAlexW2734880582MaRDI QIDQ1617228

Renato Huzak

Publication date: 7 November 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1942/24036

zbMATH Keywords

Hausdorff-close to a balanced canard cycleplanar slow-fast systemsupper bounds on the number of relaxation oscillations

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Singular perturbations for ordinary differential equations (34E15) Dimension theory of smooth dynamical systems (37C45) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)

Related Items

Fractal analysis of canard cycles with two breaking parameters and applications ⋮ Minkowski dimension and slow-fast polynomial Liénard equations near infinity ⋮ Fractal codimension of nilpotent contact points in two-dimensional slow-fast systems ⋮ 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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