On the periodic solutions in one dimensional cellular nonlinear networks based on Josephson Junctions (JJ's)

V.M. Mladenov, A. Slavova

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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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.
Original languageEnglish
Title of host publicationProc. 2006 10th IEEE International Workshop on Cellular Neural Networks and their Applications, CNNA 2006, 28 August 2006 through 30 August 2006, Istanbul
EditorsV. Tavsanoglu, S. Arik
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages235-240
ISBN (Print)1-4244-0640-4
DOIs
Publication statusPublished - 2006
Eventconference; CNNA 2006, Istanbul, Turkey, 28-30 Augustus 2006 -
Duration: 1 Jan 2006 → …

Conference

Conferenceconference; CNNA 2006, Istanbul, Turkey, 28-30 Augustus 2006
Period1/01/06 → …
OtherCNNA 2006, Istanbul, Turkey, 28-30 Augustus 2006

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  • Cite this

    Mladenov, V. M., & Slavova, A. (2006). On the periodic solutions in one dimensional cellular nonlinear networks based on Josephson Junctions (JJ's). In V. Tavsanoglu, & S. Arik (Eds.), Proc. 2006 10th IEEE International Workshop on Cellular Neural Networks and their Applications, CNNA 2006, 28 August 2006 through 30 August 2006, Istanbul (pp. 235-240). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CNNA.2006.341637