Eur. Phys. J. B 6, 411-418 (1998)
https://doi.org/10.1007/s100510050568

Using continuous control for amplification and displacement of chaotic signals

Departamento de Física Fundamental, Universidad de Barcelona, avenida Diagonal 647, 08028 Barcelona, Spain

Corresponding author: ^a jgm@hermes.ffn.ub.es

Received: 11 March 1998
Revised: 9 July 1998
Accepted: 13 July 1998
Published online: 15 December 1998

Abstract

Continuous control, used on chaotic systems that bear some special symmetries, gives rise to interesting generalized synchronization behaviors which include modification of signal amplitudes, and trajectories of the system being controlled that reproduce the controller attractor in a region of phase space out of the region where it is stable. Theoretical reasoning and computer simulations show how continuous control methods can be used to obtain these generalized synchronization behaviors, and to tune the desired degree of amplification or displacement. Moreover it is shown that these behaviors can be asymptotically stable, and very robust against external noise and mismatches in the controlling arrangement.