Indipendent dynamics in extended nonlinear networks

  • Authors:

  • Luigi Fortuna;Manuela La Rosa;Donata Nicolosi;Giovanni Sicurella

  • Affiliations:

  • Dipartimento di Ingegneria Elettrica Elettronica e dei Sistemi, Università degli Studi di Catania, Catania, Italy;FTM - Adv. R&D NV Memories & Derivatives, Post Silicon Technologies Group, STMicroelectronics, Catania, Italy;FTM - Adv. R&D NV Memories & Derivatives, Post Silicon Technologies Group, STMicroelectronics, Catania, Italy;FTM - Adv. R&D NV Memories & Derivatives, Post Silicon Technologies Group, STMicroelectronics, Catania, Italy

  • Venue:
  • NOLASC'05 Proceedings of the 4th WSEAS International Conference on Non-linear Analysis, Non-linear Systems and Chaos
  • Year:
  • 2005

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Abstract

A new strategy to identify the independent dynamics of spatially extended nonlinear networks is proposed. Starting from spatial modes theory an index has been defined as the number of relevant spatial modes and therefore identifies the system degree of freedom. The proposed methodology is validated by quantifying self-synchronization in three pattern-oriented systems: bidimensional Chua's circuit arrays, Hindmarsh-Rose neurons networks and fuzzy oscillators' lattices.