AMPLIFICATION AND DISPLACEMENT OF CHAOTIC ATTRACTORS BY MEANS OF UNIDIRECTIONAL CHAOTIC DRIVING

Chaotic systems, when used to drive copies of themselves (or parts of themselves) may induce interesting behaviors in the driven system. In case the later exhibits invariance under amplification or translation, they may show amplification (reduction), or displacement of the attra ctor. It is shown how the behavior to be obtained is implied by the sy mmetries involved. Two explicit examples are studied to show how these phenomena manifest themselves under perfect and imperfect coupling.