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COMPLEX DYNAMICS AND CHAOS IN A HYBRID SYSTEM MODELING A CONTROLLED REVERSE FLOW REACTOR

Dipartimento d'Ingegneria Chimica e Alimentare, Universitá di Salerno, via Ponte don Melillo, 84084, Fisciano (SA), Italy

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E. MANCUSI

Facoltá d'Ingegneria, Universitá del Sannio, Piazza Roma, 82100, Benevento, Italy

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L. RUSSO

Istituto di Ricerche sulla Combustione IRC, CNR, Piazzale V. Tecchio 80, 80125 Napoli, Italy

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, and

S. CRESCITELLI

Dipartimento d'Ingegneria Chimica, Universitá di Napoli "Federico II", Piazzale V. Tecchio 80, 80125 Napoli, Italy

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https://doi.org/10.1142/S0218127410026940Cited by:0

Abstract

In this work some complex behaviors of a controlled reverse flow reactor is presented. The control system introduces discrete events making the model an infinite dimensional hybrid system. The study is conducted through continuation techniques and brute force numerical simulations. Together with standard bifurcations like pitchfork, saddle-node and Neimark–Sacker, varying the set-point parameter of the controller, several novel aspects are singled out: an unusual sequence of period-adding bifurcation phenomena, a new route to chaos and the coexistence of Zeno states with quasi-periodic and chaotic regimes. The period-adding phenomena dictate the transition between symmetric and asymmetric multiperiodic regimes and a simple rule for the occurrence of symmetry breaking and recovery is found. The new route to chaos is a transition from a quasi-periodic regime to chaos due to the presence of Zeno phenomena, typical of hybrid systems. The chaos is characterized by Zeno-like oscillations.

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Vol. 20, No. 07

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Received 26 May 2009

Revised 3 November 2009

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COMPLEX DYNAMICS AND CHAOS IN A HYBRID SYSTEM MODELING A CONTROLLED REVERSE FLOW REACTOR

Abstract

References

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