Multiplicity of fixed points and growth of epsilon- neighborhoods of orbits (CROSBI ID 629704)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa
Podaci o odgovornosti
Pavao Mardešić, Maja Resman, Vesna Županović
engleski
Multiplicity of fixed points and growth of epsilon- neighborhoods of orbits
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
epsilon-neighborhood; Chebyshev system; cyclicity
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Podaci o prilogu
36-37.
2013.
objavljeno
Podaci o matičnoj publikaciji
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
978-961-281-121-1
Podaci o skupu
Workshop Dynamical Systems and Applications
pozvano predavanje
23.08.2013-24.08.2013
Maribor, Slovenija