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Complex Dynamics and Synchronization Phenomena in Arrays of Memristor Oscillators

  • Fernando Corinto
  • Mauro Forti
  • Leon O. Chua
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Abstract

A great deal of efforts have been traditionally devoted in circuit theory to analyze nonstationary steady-state behaviors in networks obtained by locally coupled arrays of simple dynamic circuits (also named cells, oscillators, units, etc.). These arrays can be thought of as a bio-inspired circuit model of complex nonlinear phenomena observable in nature with potential applications in signal processing and computing systems. In fact, on one hand, they are a mean for reproducing, analyzing, and understanding spatiotemporal nonlinear phenomena displayed by spatially extended networks found in such diverse fields as electrical engineering, computer science, biology, and physics. On the other hand, complex spatiotemporal dynamics including chaos are potentially useful for developing future analogue computing systems. Recent studies have shown for instance that chaos can play a crucial role in searching for the global solution of combinatorial optimization problems and chaotic relaxation oscillators with memristors have been used to boot efficiency and accuracy of Hopfield-like computing networks.

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© Springer Nature Switzerland AG 2021

Authors and Affiliations

  • Fernando Corinto
    • 1
  • Mauro Forti
    • 2
  • Leon O. Chua
    • 3
  1. 1.Department of Electronics & TelecommunicationsPolitecnico di TorinoTorinoItaly
  2. 2.Department of Information Engineering and MathematicsUniversity of SienaSienaItaly
  3. 3.University of CaliforniaBerkeleyUSA

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