Reading multiplicity in unfoldings from epsilon-neighborhoods of orbits

We consider generic analytic 1-parameter unfoldings of saddle-node germs of analytic vector fields on the real line, their time-one maps and the Lebesgue measure of $\varepsilon$-neighborhoods of the orbits of these time-one maps. The box dimension of an orbit gives the asymptotics of the principal...

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Bibliographic Details
Main Authors: Renato Huzak, Pavao Mardesic, Maja Resman, Vesna Zupanovic
Format: Article
Language:English
Published: Texas State University 2025-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2025/61/abstr.html
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