D\'ecroissance exponentielle des corr\'elations pour un syst\`eme dynamique r\'eel induit d'un syst\`eme en dimension 2

We study the discrete-time, real valued bounded process ${X_n, n\in {\mathbb N} }$definedbyasecondorderrecurrencerelation$X_{n+2} = \varphi(X_n,X_{n+1})$. We obtain the decay of correlations under analytical hypotheses on $\phi$ (regularity, bounds on derivatives …)