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.
|Titolo:||Bifurcation and chaos in non integer order cellular neural networks|
|Data di pubblicazione:||1998|
|Citazione:||Bifurcation and chaos in non integer order cellular neural networks / Arena, Paolo Pietro; Caponetto, Riccardo; Fortuna, Luigi; D., Porto. - In: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS IN APPLIED SCIENCES AND ENGINEERING. - ISSN 0218-1274. - 8:7(1998), pp. 1527-1539.|
|Appare nelle tipologie:||1.1 Articolo in rivista|