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Analytic models of pseudo-Anosov maps

1986; Cambridge University Press; Volume: 6; Issue: 3 Linguagem: Inglês

10.1017/s0143385700003564

1469-4417

Jorge Lewowicz, Eduardo Lima De Sá,

Chaos control and synchronization

Abstract We give a new proof of the existence of analytic models of pseudo-Anosov maps. The persistence properties of Thurston's maps ensure that any C o -perturbation of them presents all their dynamical features. Using Lyapunov functions of two variables we are able to choose certain analytic perturbations which do not add any new dynamical behaviour to the original pseudo-Anosov map.