Adaptive feedback control of periodic orbits in chaotic systems (Contributo in volume (capitolo o saggio))

Type
Label
  • Adaptive feedback control of periodic orbits in chaotic systems (Contributo in volume (capitolo o saggio)) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1142/9789814291705_fmatter (literal)
Alternative label
  • Hiroyasu Ando (3,4); Stefano Boccaletti (1,2); Kazuyuki Aihara (3,4) (2010)
    Adaptive feedback control of periodic orbits in chaotic systems
    World Scientific Publ. Co., Singapore (Singapore) in Recent progress in controlling chaos, 2010
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Hiroyasu Ando (3,4); Stefano Boccaletti (1,2); Kazuyuki Aihara (3,4) (literal)
Pagina inizio
  • 45 (literal)
Pagina fine
  • 71 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#citta
  • [s.l.] (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.worldscientific.com/worldscibooks/10.1142/7563 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#titoloVolume
  • Recent progress in controlling chaos (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#volumeInCollana
  • 16, Chapter 3 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • In: Recent progress in controlling chaos. vol. 16, Chapter 3 pp. 45 - 71. Miguel AF Sanjuan, Celso Grebogi (eds.). (Series on Stability, Vibration and Control Systems, vol. Series B). [s.l.]: World Scientific, 2010. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#descrizioneSinteticaDelProdotto
  • We describe an adaptive feedback control technique that is able to properly force the evolution of a chaotic system toward a desired periodic motion. First, we present a method enabling chaotic systems to change their dynamics to a stable periodic orbit, based on an adaptive feedback adjustment of an additional parameter of the system, and we discuss its reliability by applying it to several discrete-time systems, mainly focusing on one-dimensional unimodal maps. Then, we propose a strategy for controlling periodic orbits of desired periods in a chaotic dynamics and tracking them toward the set of unstable periodic orbits embedded within the original chaotic attractor. The proposed strategy does not require information on the system to be controlled nor on any reference states for the targets. Assessments on the method's effectiveness and robustness are given by means of the application of the technique for the stabilization of unstable periodic orbits in both discrete- and continuous- (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (1) CNR-ISC, Firenze, Sesto Fiorentino (2) Embassy of Italy in Tel Aviv, Israel (3) Institute of Industrial Science, University of Tokyo (4) Aihara Complexity Modelling Project, ERATO, JST, Tokyo, Japan (literal)
Titolo
  • Adaptive feedback control of periodic orbits in chaotic systems (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#inCollana
  • Recent progress in controlling chaos (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#isbn
  • 978-981-4291-69-9 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#curatoriVolume
  • Miguel AF Sanjuan, Celso Grebogi (Eds.) (literal)
Abstract
  • We describe an adaptive feedback control technique that is able to properly force the evolution of a chaotic system toward a desired periodic motion. First, we present a method enabling chaotic systems to change their dynamics to a stable periodic orbit, based on an adaptive feedback adjustment of an additional parameter of the system, and we discuss its reliability by applying it to several discrete-time systems, mainly focusing on one-dimensional unimodal maps. Then, we propose a strategy for controlling periodic orbits of desired periods in a chaotic dynamics and tracking them toward the set of unstable periodic orbits embedded within the original chaotic attractor. The proposed strategy does not require information on the system to be controlled nor on any reference states for the targets. Assessments on the method's effectiveness and robustness are given by means of the application of the technique for the stabilization of unstable periodic orbits in both discrete- and continuous-time systems. Additionally, we show how this procedure can be exploited to visualize the bifurcation structures of a chaotic dynamical system. (literal)
Editore
Prodotto di
Autore CNR

Incoming links:


Autore CNR di
Prodotto
Editore di
data.CNR.it