Recurrence and ergodicity breaking in a Hamiltonian toy model
Damián H. Zanette · Journal of Physics A Mathematical and General · 1997
The properties of recurrence and ergodicity breaking in a discrete model that simulates the generic Hamiltonian motion are studied. These properties are respectively characterized by the distribution of orbit periods and the division in sectors of phase space. Despite its simplicity, the model can exhibit an intricate structure and, in fact, is able to mimic both regular and chaotic evolution. This complexity is also revealed in the appearance of power-law decays in the period distribution.