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Universal models for Lorenz maps

Published online by Cambridge University Press:  04 June 2001

MARCO MARTENS  and
WELINGTON DE MELO
MARCO MARTENS
Affiliation:
IBM Thomas J. Watson Research Center, PO Box 218, Yorktown Heights, NY 10598, USA (e-mail: [email protected])
WELINGTON DE MELO
Affiliation:
IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, Brazil (e-mail: [email protected])
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Abstract

Lorenz maps are dynamical systems on the interval related to the Lorenz flow. Monotone Lorenz families will be introduced and it will be shown that all possible topological dynamical behavior of Lorenz maps is realized within every monotone Lorenz family. Moreover, the structure of the parameter space for such families is described.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 3 , June 2001 , pp. 833 - 860
Copyright
2001 Cambridge University Press

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