Title :
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
fDate :
5/1/1997 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
