FM 06-11; arXiv:1106.1476

Authors : Giovanni Gallavotti, Guido Gentile, Alessandro Giuliani

Title: Resonances within Chaos

Abstract: A chaotic system under periodic forcing can develop a periodically visited strange attractor. We discuss simple models in which the phenomenon, quite easy to see in numerical simulations, can be completely studied analytically.

Keywords: Strange attractor, dissipative chaotic systems, phase-locking, syncronization, invariant manifold

Giovanni Gallavotti
Dipartimento di Fisica,
Università di Roma Sapienza, 00185 Roma, Italy
giovanni.gallavotti@roma1.infn.it

Guido Gentile and Alessandro Giuliani,
Dipartimento di Matematica,
Università di Roma Tre, 00146 Roma, Italy
gentile@mat.uniroma3.it and giuliani@mat.uniroma3.it