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Synchronization and Waves in a Ring of Diffusively Coupled Memristor-Based Chua’s Circuits

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Abstract

In the present paper we report numerical observations of the spontaneous dynamics of N identical memristor-based Chua’s circuits bidirectionally coupled in a ring geometry. Two different initial configurations are studied by varying N and the coupling strength: in the first configuration we consider only one circuit with non-zero initial conditions, in the second one all circuits have uniform random initial conditions. We observed both chaotic and non-chaotic synchronization. In the chaotic synchronized regime we identified emerging chaotic steady waves, characterized by an almost constant frequency and chaotic amplitude. Depending on the initial conditions, in the pseudo-sinusoidal oscillations regime both macroscopic quasi-periodic steady and traveling waves were observed.

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Acknowledgements

This work was co-funded by the European Commission, FSE and Regione Calabria (Italy).

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  1. Department of Physics, University of Calabria, Via P. Bucci, 87036, Arcavacata di Rende, (CS), Italy

    Eleonora Bilotta, Francesco Chiaravalloti & Pietro Pantano

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  1. Eleonora Bilotta
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  2. Francesco Chiaravalloti
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Correspondence to Francesco Chiaravalloti.

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Bilotta, E., Chiaravalloti, F. & Pantano, P. Synchronization and Waves in a Ring of Diffusively Coupled Memristor-Based Chua’s Circuits. Acta Appl Math 132, 83–94 (2014). https://doi.org/10.1007/s10440-014-9919-7

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