Amplification and displacement of chaotic attractors by means of unidirectional chaotic driving

Details Amplification and displacement of chaotic attractors by means of unidirectional chaotic driving Amplification and displacement of chaotic attractors by means of unidirectional chaotic driving

Jun 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phrve..57.7321g&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 57, Issue 6, June 1998, p

Nonlinear Sciences

Chaotic Dynamics

9

Dynamics Of Nonlinear Optical Systems, Optical Instabilities, Optical Chaos And Complexity, And Optical Spatio-Temporal Dynamics, Chaos In Fluid Dynamics, Chaotic Dynamics

Scientific paper

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 attractor. It is shown how the behavior to be obtained is implied by the symmetries involved. Two explicit examples are studied to show how these phenomena manifest themselves under perfect and imperfect coupling.

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