Embedding the torus automorphisms to Hamiltonian flows
type: Item
instance of: scholarly article
title: Embedding the torus automorphisms to Hamiltonian flows
zbMATH Open document ID: 1005.37018
DOI: 10.1016/S0960-0779(01)00095-9
author: P. Akritas
author: I. Antoniou
author: G. Pronko
published in: Chaos, Solitons and Fractals
publication date: 2002-06-13T00:00:00Z
review text: The goal of this paper is to study Hamiltonian flows resulting from the restricted and unrestricted embedding into \(\mathbb{R}^2\) of the 2-torus automorphisms. The torus automorphism is just a stroboscopic view of the flows at integer multiples of a fixed period \(T\). The authors present the torus automorphism and its explicit solution. Moreover they discuss the unrestricted embedding of the torus automorphism on \(\mathbb{R}^2\) and the restricted embedding, and conclude the paper with some remarks on the geodesic flow on the Lobashevskij plane, integrability, embedding and quantization. This is a continuation of the preceding paper [ibid. 12, 2805-2814 (2001; Zbl 1022.81013)].
Mathematics Subject Classification ID: 37E30
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 1755369
zbMATH Keywords: Hamiltonian flows
zbMATH Keywords: 2-torus automorphisms
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Q3955608
cites work: Q5341538
cites work: Q5554207
cites work: Generalized spectral decomposition and intrinsic irreversibility of the Arnold cat map
cites work: Author reply to: ''Comments on: `Generalized spectral decomposition and intrinsic irreversibility of the Arnold cat map' ''.
cites work: On the torus automorphisms: analytic solution, computability and quantization
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full work available at URL: s0960-0779(01)00095-9
OpenAlex ID: W2077245173
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description: scientific article; zbMATH DE number 1755369