Naslov
Multiplicity of fixed points and growth of epsilon- neighborhoods of orbits

Autori
Pavao Mardešić, Maja Resman, Vesna Županović

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Workshop Dynamical Systems and Applications in the framework of the project FP7-PEOPLE-2012- IRSES- 316338 within the 7th European Community Framework Programme / - Maribor : Univerza v Mariboru, 2013, 36-37

ISBN
978-961-281-121-1

Skup
Workshop Dynamical Systems and Applications

Mjesto i datum
Maribor, Slovenija, 23.08.2013. - 24.08.2013

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
epsilon-neighborhood; Chebyshev system; cyclicity

Sažetak
We study the relationship between the multiplicity of a fixed point of a function g, and the dependence on epsilon of the length of epsilon- neighborhood of any orbit of g, tending to the fixed point. The relationship between these two notions was discovered for differentiable case, and related to the box dimension of the orbit. Here, we generalize these results to non- differentiable cases. We study the space of functions having a development in a Chebyshev scale and use multiplicity with respect to this space of functions. With these new definitions, we recover the relationship between multiplicity of fixed points and the dependence on epsilon of the length of epsilon-neighborhoods of orbits in non- differentiable. Applications include in particular Poincare map near homoclinic loop and Abelian integrals

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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