Embedding the symbolic dynamics of Lorenz maps

Tony Samuel; Nina Snigireva; Andrew Vince

doi:10.1017/S0305004114000061

Embedding the symbolic dynamics of Lorenz maps

Tony Samuel, Nina Snigireva, Andrew Vince

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Necessary and sufficient conditions for the symbolic dynamics of a Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an application of this result, we describe a new algorithm for calculating the topological entropy of a Lorenz map.

Original language	English
Pages (from-to)	505-519
Number of pages	15
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	156
Issue number	3
Early online date	3 Mar 2014
DOIs	https://doi.org/10.1017/S0305004114000061
Publication status	Published - 1 May 2014

Keywords

kneading theory
interval map
Entropy

Access to Document

10.1017/S0305004114000061Licence: None: All rights reserved

https://doi.org/10.1017/S0305004114000061Licence: None: All rights reserved

Cite this

@article{90edeb69a97241068310777bbae01f9a,

title = "Embedding the symbolic dynamics of Lorenz maps",

abstract = "Necessary and sufficient conditions for the symbolic dynamics of a Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an application of this result, we describe a new algorithm for calculating the topological entropy of a Lorenz map.",

keywords = "kneading theory, interval map, Entropy",

author = "Tony Samuel and Nina Snigireva and Andrew Vince",

year = "2014",

month = may,

day = "1",

doi = "10.1017/S0305004114000061",

language = "English",

volume = "156",

pages = "505--519",

journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

issn = "0305-0041",

publisher = "Cambridge University Press",

number = "3",

}

TY - JOUR

T1 - Embedding the symbolic dynamics of Lorenz maps

AU - Samuel, Tony

AU - Snigireva, Nina

AU - Vince, Andrew

PY - 2014/5/1

Y1 - 2014/5/1

N2 - Necessary and sufficient conditions for the symbolic dynamics of a Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an application of this result, we describe a new algorithm for calculating the topological entropy of a Lorenz map.

AB - Necessary and sufficient conditions for the symbolic dynamics of a Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an application of this result, we describe a new algorithm for calculating the topological entropy of a Lorenz map.

KW - kneading theory

KW - interval map

KW - Entropy

UR - https://arxiv.org/abs/1205.1197

U2 - 10.1017/S0305004114000061

DO - 10.1017/S0305004114000061

M3 - Article

SN - 0305-0041

VL - 156

SP - 505

EP - 519

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

IS - 3

ER -

Embedding the symbolic dynamics of Lorenz maps

Abstract

Keywords

Access to Document

Fingerprint

Cite this