ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 62,   2   (1993)
pp.   237-248

DIVISION FOR STAR MAPS WITH THE BRANCHING POINT FIXED
Ll. ALSED\`A and X. YE


Abstract.  We extend the notion of division given for interval maps (see Ref. 10) to the $n$-star and study the set of periods of star maps such that all their periodic orbits with period larger than one have a division. As a consequence of this result we get some conditions characterizing the star maps with zero topological entropy.

AMS subject classification
Keywords

Download:     Adobe PDF     Compressed Postscript      

Acta Mathematica Universitatis Comenianae
Institute of Applied Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovak Republic  

Telephone: + 421-2-60295111 Fax: + 421-2-65425882  
e-Mail: amuc@fmph.uniba.sk   Internet: www.iam.fmph.uniba.sk/amuc

© Copyright 2001, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE