Control of chaos in discrete josephson transmission lines

I. L. Atkin, E. Abraham

Research output: Contribution to journalArticle

Abstract

We have simulated the control of chaos by chaos in discrete Josephson transmission lines to obtain periodic outputs of selected frequency. Our system consists of an underdamped 1-D parallel array of 11 small Josephson junctions in the presence of an externally applied magnetic field. Control of chaos is achieved by a delayed feedback mechanism which selects one of the unstable periodic orbits embedded within the associated strange attractor. Although the dimensionality of our system is relatively large (22) control was achieved by applying the delayed feedback to a single boundary junction resulting in the above stable oscillatory output. The essence of our work shows that unwanted chaotic signals could be turned into useful applications such as microwave oscillators of variable frequency without modifying the original system. © 1997 IEEE.

Original languageEnglish
Pages (from-to)2894-2896
Number of pages3
JournalIEEE Transactions on Applied Superconductivity
Volume7
Issue number2 PART 3
Publication statusPublished - 1997

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transmission lines
chaos
microwave oscillators
strange attractors
output
Josephson junctions
orbits
magnetic fields

Cite this

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title = "Control of chaos in discrete josephson transmission lines",
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Control of chaos in discrete josephson transmission lines. / Atkin, I. L.; Abraham, E.

In: IEEE Transactions on Applied Superconductivity, Vol. 7, No. 2 PART 3, 1997, p. 2894-2896.

Research output: Contribution to journalArticle

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AU - Abraham, E.

PY - 1997

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AB - We have simulated the control of chaos by chaos in discrete Josephson transmission lines to obtain periodic outputs of selected frequency. Our system consists of an underdamped 1-D parallel array of 11 small Josephson junctions in the presence of an externally applied magnetic field. Control of chaos is achieved by a delayed feedback mechanism which selects one of the unstable periodic orbits embedded within the associated strange attractor. Although the dimensionality of our system is relatively large (22) control was achieved by applying the delayed feedback to a single boundary junction resulting in the above stable oscillatory output. The essence of our work shows that unwanted chaotic signals could be turned into useful applications such as microwave oscillators of variable frequency without modifying the original system. © 1997 IEEE.

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