title: Maintenance of transient chaos using a neural-network-assisted feedback control.
abstract: A stable period-3 orbit in the parametric vicinity of a chaotic attractor is destabilized using two distinct feedback strategies. This results in the inception and subsequent maintenance of the otherwise short-lived chaotic transients. Both the techniques employed are based on the exclusion of trajectories from the near vicinity of the open loop stable period-3 attractor; the first relies on the traditional proportional feedback method while the second one includes a predictive term enabling delimitation of exclusion zones for the system dynamics. The implementation of these strategies involves construction of appropriate reference models in the form of an artificial-neural-network approximator.
authors.affiliation: Departamento de Ingeniería Química, Instituto Tecnológico de Celaya, Avenida. Tecnológico y A. García Cubas s/n, 38010, Celaya, Guanajuato, Mexico.
authors.forename: J F
authors.initials: JF
authors.lastname: Louvier-Hernández
authors.forename: R
authors.initials: R
authors.lastname: Rico-Martínez
authors.forename: P
authors.initials: P
authors.lastname: Parmananda