MAPPING OF ONE-DIMENSIONAL JOSEPHSON-JUNCTION ARRAYS ONTO CELLULAR NEURAL NETWORKS AND THEIR DYNAMICS

Authors
FINGER L TAVSANOGLU V
Citation
L. Finger et V. Tavsanoglu, MAPPING OF ONE-DIMENSIONAL JOSEPHSON-JUNCTION ARRAYS ONTO CELLULAR NEURAL NETWORKS AND THEIR DYNAMICS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 44(5), 1997, pp. 438-445
Citations number
23
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
IEEE transactions on circuits and systems. 1, Fundamental theory andapplications → ACNP
ISSN journal
10577122
Volume
44
Issue
5
Year of publication
1997
Pages
438 - 445
Database
ISI
SICI code
1057-7122(1997)44:5<438:MOOJAO>2.0.ZU;2-L
Abstract
In this brief, it is shown that one-dimensional Josephson junction arr ays can be mapped onto sworks under some restrictions. Analytic expres sions to the stability of equilibria of these arrays are derived and a pplied to the behavior of vortex solutions. Relations between these st atic solutions and a particular solution of a partial differential equ ation are shown. By means of the theory of Hamiltonian systems a quali tative theory for Josephson junction arrays is derived and applied in numerical simulations.