Partially chaotic orbits are alive and well

J. C. MUZZIO

San Martino al Cimino (Viterbo)

Congreso; CELMEC VII; 2017

Comités Organizadores Científico y Local

pre.cjk { font-family: "Nimbus Mono L",monospace; }p { margin-bottom: 0.25cm; line-height: 120%; } In principle, autonomous Hamiltonian systems with three degrees offreedom support three types of orbits: regular (they obey two additionalintegrals besides energy), partially chaotic (they obey one additionalintegral only) and fully chaotic (they just obey the energy integral).Nevertheless, the existence of partially chaotic orbits, althoughtheoretically possible, has been denied by different authors. The mainarguments are that there is a sudden transition from the regular to thefully chaotic regimen and that, if the integration of partially chaoticorbits were pursued for a long enough time, their fully chaotic naturewould be revealed. Here we show that partially chaotic orbits, althoughrare, actually exist, we provide examples of such orbits and we describetheir nature.