We investigate the existence of cantori for a dissipative version of the sawtooth map. Making use of an explicit parametric representation of the solution, we prove that cantori exist for any irrational value of the frequency. We also perform a numerical study aimed to determine some dynamical properties of the dissipative sawtooth map.

Cantori of the dissipative sawtooth map

GUZZO, MASSIMILIANO
2009

Abstract

We investigate the existence of cantori for a dissipative version of the sawtooth map. Making use of an explicit parametric representation of the solution, we prove that cantori exist for any irrational value of the frequency. We also perform a numerical study aimed to determine some dynamical properties of the dissipative sawtooth map.
2009
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2378261
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