Mapping of one-dimensional Josephson junction arrays onto cellular neural networks and their dynamics

Author

Finger, Lutz ; Tavsanoglu, Vedat

Author_Institution

Sch. of Electr., Electron., & Inf. Eng., South Bank Polytech., London, UK

Volume

44

Issue

5

fYear

1997

fDate

5/1/1997 12:00:00 AM

Firstpage

438

Lastpage

445

Abstract

It is shown that one-dimensional Josephson junction arrays can be mapped onto sworks under some restrictions. Analytic expressions to the stability of equilibria of these arrays are derived and applied to the behavior of vortex solutions. Relations between these static solutions and a particular solution of a partial differential equation are shown. By means of the theory of Hamiltonian systems, a qualitative theory for Josephson junction arrays is derived and applied in numerical simulations

Keywords

cellular neural nets; partial differential equations; stability; superconducting junction devices; Hamiltonian systems; cellular neural networks; dynamics; one-dimensional Josephson junction arrays; partial differential equation; stability of equilibria; vortex solutions; Cellular neural networks; Costs; Delay effects; Fault tolerance; Hardware; High level synthesis; Josephson junctions; Microarchitecture; Processor scheduling; Very large scale integration;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.572340

Filename

572340