tThis paper considers an ensemble of Chua oscillators bidirectionally coupled in a ring geometry wherelocally coupled circuits form a closed loop of signal transmission. The spontaneous dynamics of this sys-tem is studied numerically for different coupling strength. A transition from periodic to chaotic regimesis observed when the coupling decreases. In the former situation, characterized by high coupling, all thecircuits oscillate with pseudo-sinusoidal dynamics on periodic attractors; in the latter they evolve on thesame-type of chaotic attractor with a progression of the dynamics from the Chua’s spiral to the doublescroll as the coupling decreases. The emerging global dynamics is markedly different in the two casesand a phase transition between highly ordered and highly disordered global dynamics is observed. Syn-chronization and traveling waves moving along the ring are identified in the non-chaotic regime, whilespatio-temporal chaos results for very low coupling. Complex patterns formation appears at the “edgeof chaos”, for a small couplings interval after the transition between these two regimes.

Complexity and emergence of wave dynamics in a chain ofsequentially interconnected Chua circuits

BILOTTA, Eleonora;PANTANO, Pietro Salvatore
2015

Abstract

tThis paper considers an ensemble of Chua oscillators bidirectionally coupled in a ring geometry wherelocally coupled circuits form a closed loop of signal transmission. The spontaneous dynamics of this sys-tem is studied numerically for different coupling strength. A transition from periodic to chaotic regimesis observed when the coupling decreases. In the former situation, characterized by high coupling, all thecircuits oscillate with pseudo-sinusoidal dynamics on periodic attractors; in the latter they evolve on thesame-type of chaotic attractor with a progression of the dynamics from the Chua’s spiral to the doublescroll as the coupling decreases. The emerging global dynamics is markedly different in the two casesand a phase transition between highly ordered and highly disordered global dynamics is observed. Syn-chronization and traveling waves moving along the ring are identified in the non-chaotic regime, whilespatio-temporal chaos results for very low coupling. Complex patterns formation appears at the “edgeof chaos”, for a small couplings interval after the transition between these two regimes.
wave dynamics; Chua circuits; Complexity
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/143212
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