Adaptive targeting of chaos
Anno: 1997
Autori: Boccaletti S., Farini A., Kostelich E.J., Arecchi F.T.
Affiliazione autori: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Department of Physics, University of Firenze, 50125 Firenze, Italy;
Department of Mathematics, Arizona State University, Tempe, Arizona 85287
Abstract: We report two adaptive methods for directing chaotic trajectories to desired targets that require only a single ”probing” of the target by the unperturbed dynamics. In contrast to previous targeting algorithms, these methods do not require a priori information about the stable and unstable manifolds associated with the target point and are not restricted to invertible mappings. The methods apply small perturbations to the state variables (as opposed to parameters) and can reduce the waiting time for the system to visit the target by more than two orders of magnitude. Their robustness and lack of stringent requirements should make these methods easily implementable in experimental applications.
Giornale/Rivista: PHYSICAL REVIEW E
Volume: 55 (5) Da Pagina: R4845 A: R4848
Parole chiavi: Direct trajectories; Small perturbations; Systems; DynamicsDOI: 10.1103/PhysRevE.55.R4845Citazioni: 20dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-04-28Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui