On the Periodic Solutions in One Dimensional Cellular Nonlinear Networks Based on Josephson Junctions (JJ´s)

Author

Mladenov, Valeri ; Slavova, Angela

Author_Institution

Dept. Theor. Electr. Eng., Tech. Univ. of Sofia

fYear

2006

fDate

28-30 Aug. 2006

Firstpage

1

Lastpage

6

Abstract

In this paper we consider an autonomous one dimensional cellular nonlinear network (CNN) that consists of chain of N simple cells based on Josephson Junctions (JJ´s) coupled by linear inductors. In fact the subject is the well known Josephson Transmission Line (JTL) that is used in many applications in superconductor electronics and more especially in Rapid Single Flux Quantum (RSFQ) technique. When the last cell is connected with the first one a ring of Josephson Junctions is formed. Using the framework of the cellular nonlinear network we consider the JTL under the umbrella of the system theory. Based on describing functions method we rigorously prove the existence and stability of periodic solutions in the cellular nonlinear network model considered. The results are confirmed by simulations

Keywords

cellular neural nets; system theory; 1D cellular nonlinear networks; Josephson Junctions; Josephson Transmission Line; Rapid Single Flux Quantum technique; describing functions; linear inductors; periodic solutions; superconductor electronics; system theory; Capacitance; Cellular networks; Cellular neural networks; Critical current; Electronic mail; Josephson junctions; Magnetic analysis; Mathematical model; Stability; Superconducting transmission lines; Cellular nonlinear networks; Describing functions; Josephson junctions; Periodic solutions;

fLanguage

English

Publisher

ieee

Conference_Titel

Cellular Neural Networks and Their Applications, 2006. CNNA '06. 10th International Workshop on

Conference_Location

Istanbul

Print_ISBN

1-4244-0639-0

Electronic_ISBN

1-4244-0640-4

Type

conf

DOI

10.1109/CNNA.2006.341637

Filename

4145877