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