Coherent regimes of mutually coupled Chua's circuits

I. Gomes da Silva (1) , Silvia de Monte (2) , Francesco d'Ovidio (3) , R. Toral (1) , C. R. Mirasso (4)

1 IMEDEA - Institut Mediterrani d'Estudis Avancats
2 Laboratoire Ecologie et évolution
3 LMD - Laboratoire de Météorologie Dynamique (UMR 8539)
4 Departament de Fısica [Palma de Mallorca]

We study the dynamical regimes that emerge from the strong coupling between two Chua's circuits with parameters mismatch. For the region around the perfect synchronous state we show how to combine parameter diversity and coupling in order to robustly and precisely target a desired regime. This target process allows us to obtain regimes that may lie outside parameter ranges accessible for any isolated circuit. The results are obtained by following a recently developed theoretical technique, the order parameter expansion, and are verified both by numerical simulations and on electronic circuits. The theoretical results indicate that the same predictable change in the collective dynamics can be obtained for large populations of strongly coupled circuits with parameter mismatches.

Mots clés: Control of chaos; applications of chaos; Circuits and circuit components

Domaines: Géophysique [physics.geo-ph]; Géophysique [physics.geo-ph]; Milieux et Changements globaux

I. Gomes da Silva, Silvia de Monte, Francesco d'Ovidio, R. Toral, C. R. Mirasso. Coherent regimes of mutually coupled Chua's circuits. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2006, 73, pp.36203. ⟨10.1103/PHYSREVE.73.036203⟩. ⟨hal-00770736⟩