Attractors in the quasi-periodically perturbed quadratic family

作者:Bjerklov Kristian*
来源:Nonlinearity, 2012, 25(5): 1537-1545.
DOI:10.1088/0951-7715/25/5/1537

摘要

We give a geometric description of an attractor arising in quasi-periodically perturbed maps %26lt;br%26gt;T x [0, 1] (sic) (theta, x) bar right arrow (theta + omega, c(theta)x(1 - x)) is an element of T x [0, 1] %26lt;br%26gt;for certain choices of smooth c : T -%26gt; [1.5, 4] and Diophantine omega. The existence of the %26apos;strange%26apos; attractor was established in Bjerklov 2009 Commun. Math. Phys. 286 137.

  • 出版日期2012-5