On the Statistical Distribution of First-Return Times of Balls and Cylinders in Chaotic Systems

We study returns in dynamical systems: when a set of points, initially populating a prescribed region, swarms around phase space according to a deterministic rule of motion, we say that the return of the set occurs at the earliest moment when one of these points comes back to the original region. We describe the statistical distribution of these "first

• Type: Journal
• Year: 2010
• Where: IJBC
• Authors: G. Mantica, S. Vaienti
• Keywords: Deterministic Rule, IJBC 2010, Lyapunov Exponents, Phase Space