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 language | English |
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Pages (from-to) | 2894-2896 |
Number of pages | 3 |
Journal | IEEE Transactions on Applied Superconductivity |
Volume | 7 |
Issue number | 2 PART 3 |
Publication status | Published - 1997 |
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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 journal › Article
TY - JOUR
T1 - Control of chaos in discrete josephson transmission lines
AU - Atkin, I. L.
AU - Abraham, E.
PY - 1997
Y1 - 1997
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0031166799&partnerID=8YFLogxK
M3 - Article
VL - 7
SP - 2894
EP - 2896
JO - IEEE Transactions on Applied Superconductivity
JF - IEEE Transactions on Applied Superconductivity
SN - 1051-8223
IS - 2 PART 3
ER -