PERIOD-DOUBLING OF A TORUS IN A CHAIN OF OSCILLATORS

Citation
Jm. Flesselles et al., PERIOD-DOUBLING OF A TORUS IN A CHAIN OF OSCILLATORS, Physical review letters, 72(18), 1994, pp. 2871-2874
Citations number
21
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
72
Issue
18
Year of publication
1994
Pages
2871 - 2874
Database
ISI
SICI code
0031-9007(1994)72:18<2871:POATIA>2.0.ZU;2-I
Abstract
We have experimentally studied the transition to chaos in a quasi-one- dimensional chain of nonlinear coupled oscillators, with periodic boun dary conditions. We show that as long as the dynamics are not chaotic, this transition follows an unusual scenario: the period doubling of a T2 torus. During this scenario all oscillators remain in phase. When the chain of oscillators bifurcates to chaos, it loses its spatial hom ogeneity and localized wave holes randomly propagate along the chain.