Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-03-04
Nonlinear Sciences
Chaotic Dynamics
Scientific paper
10.1023/B:JOSS.0000019817.71073.
The essential decorrelation rate of a hyperbolic dynamical system is the decay rate of time-correlations one expects to see stably for typical observables once resonances are projected out. We define and illustrate these notions and study the conjecture that for observables in $C^1$, the essential decorrelation rate is never faster than what is dictated by the {\em smallest} unstable Liapunov multiplier.
Collet Pierre
Eckmann Jean-Pierre
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