Multiplicity of fixed points and growth of \(\varepsilon \)-neighborhoods of orbits

DOI10.1016/j.jde.2012.06.020zbMath1263.37069arXiv1108.4707OpenAlexW1575078891MaRDI QIDQ449251

Maja Resman, Vesna Županović, Pavao Mardešić

Publication date: 12 September 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4707

zbMATH Keywords

fixed pointsmultiplicitylimit cyclesnondifferentiable functions

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Length, area, volume, other geometric measure theory (28A75) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (12)

Box dimension and cyclicity of Canard cycles ⋮ Fractal analysis of canard cycles with two breaking parameters and applications ⋮ Normal forms and embeddings for power-log transseries ⋮ Oscillatory integrals and fractal dimension ⋮ Fractal zeta functions of orbits of parabolic diffeomorphisms ⋮ Fractal analysis of hyperbolic saddles with applications ⋮ Minkowski dimension and slow-fast polynomial Liénard equations near infinity ⋮ Tubular neighborhoods of orbits of power-logarithmic germs ⋮ Invariance of the normalized Minkowski content with respect to the ambient space ⋮ Fractal dimensions and two-dimensional slow-fast systems ⋮ Fractal analysis of planar nilpotent singularities and numerical applications ⋮ Linearization of complex hyperbolic Dulac germs

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