Abstract
We prove the existence of an open and dense subset of maps fεDiffω∞(S2) which have positive topological entropy. It follows that these maps have infinitely many hyperbolic periodic points and an exponential growth rate of hyperbolic periodic points. The proof is an application of Pixton's theorem
Original language | English (US) |
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Pages (from-to) | 481-485 |
Number of pages | 5 |
Journal | Journal of Statistical Physics |
Volume | 80 |
Issue number | 1-2 |
DOIs | |
State | Published - Jul 1995 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics