Controlling chaos in systems of coupled oscillators

MATIAS NUNEZ, AND GERMAN MATO

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Año: 2002 vol. 307 p. 315 - 330

0378-4371

We study the dynamical behavior of a one-dimensional network of phase oscillators, displayinga variety of cluster or traveling wave solutions, either stable or unstable according to the typeof interaction function. For some range of parameters these solutions coexist with a chaoticattractor. We analyze a mechanism for controlling chaos and stabilizing the periodic solutions.We also analyze the minimal number ofcontrollers needed to stabilize the system and the relationbetween the location of the controllers and the symmetry of the reference state to be stabilized.