Non--Hyperbolic Dynamics: a Family of Special Functions
chao-dyn
2008-02-03 v1 funct-an
Functional Analysis
Chaotic Dynamics
Abstract
In this paper we present some theorems for a class of non--hyperbolic fixed points on and then analyze a family of functions on the plane which have a non--hyperbolic fixed point in the origin. The dynamical properties of the family near the fixed point, like the basin of attraction, are studied. Finally the limits of applicability of the characterization by the eigenvalues of the Jacobian are discussed.
Keywords
Cite
@article{arxiv.chao-dyn/9607002,
title = {Non--Hyperbolic Dynamics: a Family of Special Functions},
author = {Maria Morandi Cecchi and Luca Salasnich},
journal= {arXiv preprint arXiv:chao-dyn/9607002},
year = {2008}
}
Comments
Latex, 10 pages, 3 figures (available upon request to the Authors), presented at the Summer School/Conference Let's Face Chaos through Nonlinear Dynamics, 24 June -- 5 July 1996, Maribor (Slovenia), to be published in Open Systems and Information Dynamics