Complex dynamics and spatio-temporal patterns in a network of three distributed chemical reactors with periodical feed switching (Articolo in rivista)

Type
Label
  • Complex dynamics and spatio-temporal patterns in a network of three distributed chemical reactors with periodical feed switching (Articolo in rivista) (literal)
Anno
  • 2006-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.chaos.2005.05.051 (literal)
Alternative label
  • Russo, L ; Altimari, P; Mancusi, E; Maffettone, PL; Crescitelli, S. (2006)
    Complex dynamics and spatio-temporal patterns in a network of three distributed chemical reactors with periodical feed switching
    in Chaos, solitons and fractals
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Russo, L ; Altimari, P; Mancusi, E; Maffettone, PL; Crescitelli, S. (literal)
Pagina inizio
  • 682 (literal)
Pagina fine
  • 706 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 28 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 3 (literal)
Note
  • Scopus (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Russo, L: Dipartimento di Ingegneria Chimica Alimentare Universitá di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy. Altimari, P; Crescitelli, S.: Dipartimento d'Ingegneria Chimica Università \"Federico II\" Piazzale Tecchio 80, 80125 Napoli, Italy. Mancusi, E: Facoltà di Ingegneria, Università del Sannio, Piazza Roma, 82100 Benevento, Italy. Maffettone, PL: Dipartimento di Scienza dei Materiali ed Ingegneria Chimica, Politecnico di Torino, Corso duca degli Abruzzi 24, 1-10129 Torino, Italy. (literal)
Titolo
  • Complex dynamics and spatio-temporal patterns in a network of three distributed chemical reactors with periodical feed switching (literal)
Abstract
  • In this paper the dynamics of a periodically forced network of three catalytic reactors is studied. The reactors are modeled as distributed parameter systems with a Z(3) x S(1) spatio-temporal symmetry. The symmetry property is induced by periodical forcing, and it forces the Poincare map to be the third iterate of another non-stroboscopic map. This property is used to compute the bifurcation diagram of the periodic and multiperiodic regimes of the reactor network through the continuation of the corresponding fixed points of the non-stroboscopic map. Moreover, this property is used to determine the symmetry and multiplicity of the regimes by comparing the invariant sets of the Poincare map with those of the non-stroboscopic map. As demonstrated in this paper, this is possible even for quasi-periodic and chaotic regime. For symmetry and spatially distributed nature of the system, several complex symmetric and asymmetric spatio-temporal patterns corresponding to multiperiodic, quasi-periodic and chaotic regimes are found in a wide range of the bifurcation parameter. Symmetry breaking bifurcations, catastrophic transitions from periodic to quasi-periodic regimes, and different routes to chaotic regimes (Curry-Yorke, type I and III intermittencies and torus doubling cascade) are found and discussed. (literal)
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