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Bifurcation and Chaos in Noninteger Order Cellular Neural Networks

Arena, P ; Caponetto, R ; Fortuna, L ; Porto, D

International journal of bifurcation and chaos in applied sciences and engineering, 1998-07, Vol.8 (7), p.1527-1539 [Periódico revisado por pares]

World Scientific Publishing Company

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  • Título:
    Bifurcation and Chaos in Noninteger Order Cellular Neural Networks
  • Autor: Arena, P ; Caponetto, R ; Fortuna, L ; Porto, D
  • É parte de: International journal of bifurcation and chaos in applied sciences and engineering, 1998-07, Vol.8 (7), p.1527-1539
  • Descrição: In this paper a new class of Cellular Neural Networks (CNNs) is introduced. The peculiarity of the new CNN model consists in replacing the traditional first order cell with a noninteger order one. The introduction of fractional order cells, with a suitable choice of the coupling parameters, leads to the onset of chaos in a two-cell system of a total order of less than three. A theoretical approach, based on the interaction between equilibrium points and limit cycles, is used to discover chaotic motions in fractional CNNs.
  • Editor: World Scientific Publishing Company
  • Idioma: Inglês

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