Real topological entropy versus metric entropy for birational measure-preserving transformations
type: Item
instance of: scholarly article
title: Real topological entropy versus metric entropy for birational measure-preserving transformations
zbMATH Open document ID: 0978.37036
DOI: 10.1016/S0167-2789(00)00079-8
author: J. C. Anglès d'Auriac
author: Nina Abarenkova
author: S. Boukraa
author: Jean-Marie Maillard
published in: Physica D
publication date: 2000-12-03T00:00:00Z
review text: The authors consider the one-parameter family of maps \(F_\alpha :\mathbb{C}^2\to\mathbb{C}^2\) of the form \[ (x,z)\mapsto \left(y-1-\alpha,x\;\frac{y-\alpha}{y+1}\right). \] They discuss the growth rate of periodic points (here called entropy), the corresponding zetafunction and the Arnold complexity for two-dimensional maps (counting the number of complex intersections of a given line). Real versions of the notions are introduced by counting only periodic points which are real. The major part of the paper describes numerical simulations mainly on Lyapunov exponents.
reviewed by: Manfred Denker
Mathematics Subject Classification ID: 37E30
Mathematics Subject Classification ID: 37F99
Mathematics Subject Classification ID: 37B35
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 32H50
zbMATH DE Number: 1538270
zbMATH Keywords: entropy
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: Hénon map
zbMATH Keywords: Arnold complexity
MaRDI profile type: Publication
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Real topological entropy versus metric entropy for birational measure-preserving transformations (Wikidata QID)
Wikidata QID: Q127644532

Real topological entropy versus metric entropy for birational measure-preserving transformations (full work available at URL)
full work available at URL: s0167-2789(00)00079-8

Real topological entropy versus metric entropy for birational measure-preserving transformations (OpenAlex ID)
OpenAlex ID: W2098972335