Mathematics – Dynamical Systems
Scientific paper
1994-05-14
Mathematics
Dynamical Systems
Scientific paper
Consider the two-parameter family of real analytic maps $F_{a,b}:x \mapsto
x+ a+{b\over 2\pi} \sin(2\pi x)$ which are lifts of degree one endomorphisms
of the circle. The purpose of this paper is to provide a proof that for any
closed interval $I$, the set of maps $F_{a,b}$ whose rotation interval is $I$,
form a contractible set.
Epstein Adam
Keen Linda
Tresser Charles
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