Tubular neighborhoods of orbits of power-logarithmic germs

DOI10.1007/s10884-019-09812-8zbMath1473.37025OpenAlexW2990966998WikidataQ126746041 ScholiaQ126746041MaRDI QIDQ2225502

Jean-Philippe Rolin, Pavao Mardešić, Vesna Županović, Maja Resman

Publication date: 8 February 2021

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

Full work available at URL: https://doi.org/10.1007/s10884-019-09812-8

zbMATH Keywords

Dulac mapembedding in a flowanalytic invariantsfractal properties of orbitspower-logarithm asymptotic expansions

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Orbit growth in dynamical systems (37C35) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

Fractal zeta functions of orbits of parabolic diffeomorphisms

Cites Work

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• Normal forms and embeddings for power-log transseries
• \(\varepsilon\)-neighborhoods of orbits and formal classification of parabolic diffeomorphisms
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• The Fatou coordinate for parabolic Dulac germs
• Box dimension of trajectories of some discrete dynamical systems
• Poincaré map in fractal analysis of spiral trajectories of planar vector fields
• ε-neighbourhoods of orbits of parabolic diffeomorphisms and cohomological equations
• Finiteness theorems for limit cycles
• On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
• Logarithmic-exponential series

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