PERIOD-DOUBLING OF A TORUS IN A CHAIN OF OSCILLATORS
Publication Type:
Journal ArticleSource:
PHYSICAL REVIEW LETTERS, AMERICAN PHYSICAL SOC, Volume 72, Number 18, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA, p.2871-2874 (1994)Keywords:
BIFURCATIONS; CHAOS; GINZBURG-LANDAU EQUATION; SYSTEMSAbstract:
We have experimentally studied the transition to chaos in a quasi-one-dimensional chain of nonlinear coupled oscillators, with periodic boundary 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 homogeneity and localized wave holes randomly propagate along the chain.