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ε -neighborhoods of orbits and formal classification of parabolic diffeomorphisms (CROSBI ID 192324)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Resman, Maja ε -neighborhoods of orbits and formal classification of parabolic diffeomorphisms // Discrete and continuous dynamical systems, 33 (2013), 8; 3767-3790. doi: 10.3934/dcds.2013.33.3767

Podaci o odgovornosti

Resman, Maja

engleski

ε -neighborhoods of orbits and formal classification of parabolic diffeomorphisms

In this article we study the dynamics generated by germs of parabolic diffeomorphisms f:(C, 0)→(C, 0) tangent to the identity. We show how formal classification of a given parabolic diffeomorphism can be deduced from the asymptotic development of what we call directed area of the ε -neighborhood of any orbit near the origin. Relevant coefficients and constants in the development have a geometric meaning. They present fractal properties of the orbit, namely its box dimension, Minkowski content and what we call residual content.

parabolic diffeomorphisms; formal classification; box dimension; Minkowski content

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Podaci o izdanju

33 (8)

2013.

3767-3790

objavljeno

1078-0947

10.3934/dcds.2013.33.3767

Povezanost rada

Matematika

Poveznice
Indeksiranost