An algorithm to compute the topological entropy of a unimodal map

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 9, Issue 9, 1999, Pages 1881-1882

  Bruin, Henk ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040038384     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812749900136X     Document Type: Article

References (7)

1. Bruin, H. [1995] "Combinatorics of the kneading map," Int. J. Bifurcation and Chaos 5, 1339-1349.
2. Collet, P. & Eckmann, J.-P. [1980] Iterated Maps of the Interval as Dynamical Systems (Birkhäuser, Boston).
3. de Melo, W. & van Strien, S. [1993] One-Dimensional Dynamics (Springer-Verlag, Berlin, Heidelberg).
4. Hofbauer, F. [1980] "The topological entropy of the transformation x → ax(1 - x)," Monatsh. Math. 90, 117-141.
5. Hofbauer, F. & Keller, G. [1990] "Quadratic maps without asymptotic measure," Commun. Math. Phys. 127, 319-337.
6. Sands, D. [1994] Topological Conditions for Positive Lyapunov Exponent in Unimodal Maps, Thesis (St. Johns College, Cambridge).
7. Thunberg, H. [1996] "On approach-rate conditions in unimodal dynamics," Some Problems in Unimodal Dynamics, Thesis (KTH, Stockholm).