We construct open sets of Ck (k ≥ 2) vector fields with singularities that have robust exponential decay of correlations with respect to the unique physical measure. In particular we prove that the geometric Lorenz attractor has exponential decay of correlations with respect to the unique physical measure.
机构:
King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi ArabiaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
Tatar, Nasser-eddine M.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,
2017,
7
(04):
: 1267
-
1274