Work

Lower bounds of the topological entropy for continuous maps of the circle of degree one

Year: 1988

Type: article

Abstract: The authors give the best lower bound of the topological entropy of a continuous map of the circle of degree one, as a function of the rotation interval. Also, they obtain as a corollary the theorem of Ito (1982) which gives the best lower bound of the topological entropy depending on the set of periods.

Source: Nonlinearity

DOI: 10.1088/0951-7715/1/3/004

Authors: L Alseda, J Llibre, F Manosas, M Misiurewicz

Institution: Universitat Autònoma de Barcelona

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W1994349080

FWCI: 2.026

Cites: 16

Cited by: 25

Related to: 10