Analytic Exact Upper Bound for the Lyapunov Dimension of the Shimizu–Morioka System

In applied investigations, the invariance of the Lyapunov dimension under a diffeomorphism is often used. However, in the case of irregular linearization, this fact was not strictly considered in the classical works. In the present work, the invariance of the Lyapunov dimension under diffeomorphism...

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Bibliographic Details
Main Authors: Gennady A. Leonov, Tatyana A. Alexeeva, Nikolay V. Kuznetsov
Format: Article
Language:English
Published: MDPI AG 2015-07-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/17/7/5101