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HYPERBOLICITY AND SUSTAINABILITY OF ORBITS
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 Title & Authors
HYPERBOLICITY AND SUSTAINABILITY OF ORBITS
Fornaess, John-Erik;
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 Abstract
Let be a dynamical system and let denote an orbit of F. We study the relation between and pseudoorbits In general might diverge away from Our main problem is whether there exists arbitrarily small so that if then remains close to This leads naturally to the concept of sustainable orbits, and their existence seems to be closely related to the concept of hyperbolicity, although they are not in general equivalent.
 Keywords
sustainability;complex dynamics;hyperbolicity;Henon maps;
 Language
English
 Cited by
 References
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J. Y. Briend and J. Duval, Exposants de Lyapunov et points periodiques d'endomorphismes de $P^k$, Acta Math. 182 (1999), no. 2, 143–157. crossref(new window)

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L. Carleson and T. Gamelin, Complex Dynamics, Springer-Verlag, 1993

3.
J. E. Fornaess, Sustainable Dynamical Systems, preprint

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J. E. Fornaess, Real Methods in Complex Dynamics, preprint

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M. Shub, Global stability of Mappings, Springer-Verlag, 1987