Fractal analysis of hyperbolic saddles with applications

DOI10.1016/j.jmaa.2023.127662zbMath1530.37046arXiv2306.00116MaRDI QIDQ6058839

Maja Resman, Renato Huzak, Vlatko Crnković

Publication date: 1 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.00116

zbMATH Keywords

cyclicityMinkowski dimension2-cyclessaddle-loops

Mathematics Subject Classification ID

Fractals (28A80) Periodic orbits of vector fields and flows (37C27) Dynamical systems with hyperbolic orbits and sets (37D05) Dimension theory of smooth dynamical systems (37C45)

Cites Work

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• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Fractal analysis of spiral trajectories of some planar vector fields
• Box dimension of trajectories of some discrete dynamical systems
• Qualitative theory of planar differential systems
• Poincaré map in fractal analysis of spiral trajectories of planar vector fields
• Transition maps at non-resonant hyperbolic singularities are o-minimal
• Finiteness theorems for limit cycles

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