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Synchronization and phase dynamics o...

Heath, Ted Hoyt.

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Synchronization and phase dynamics of coupled oscillators.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Synchronization and phase dynamics of coupled oscillators./
Author:	Heath, Ted Hoyt.
Description:	362 p.
Notes:	Source: Dissertation Abstracts International, Volume: 61-04, Section: B, page: 1988.
Contained By:	Dissertation Abstracts International61-04B.
Subject:	Physics, General. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9966956
ISBN:	059971607X

Synchronization and phase dynamics of coupled oscillators.
Heath, Ted Hoyt.

Synchronization and phase dynamics of coupled oscillators. - 362 p.

Source: Dissertation Abstracts International, Volume: 61-04, Section: B, page: 1988.

Thesis (Ph.D.)--Georgia Institute of Technology, 1999.

The synchronization of coupled oscillators is studied in the context of two distinct systems: a one-dimensional array of Josephson junctions shunted by an RLC load and one- and two-dimensional arrays of coupled phase model oscillators. First, hysteresis in Josephson junction arrays is investigated. A long-standing discrepancy between the dynamics of the full equations and the corresponding averaged equations is resolved. By introducing a self-consistency condition into the averaging method, hysteresis is recovered. Comparisons between the numerics of the full equations and those of the self-consistent averaging are quite good. Next, an analog circuit is developed to simulate the dynamics of a one-dimensional array of Josephson junctions shunted by an RLC load. Although the design is readily extendable to N junctions, only two coupled junctions are explicitly considered. The circuit behavior is compared with analytic results obtained via the averaged equations. Finally, the static and dynamic beam steering of one- and two-dimensional arrays of coupled oscillators is studied. It is found that by manipulating the natural frequencies of the army elements, the position of the far-field intensity pattern can be controlled. Explicit solutions to the dynamical equations are obtained. In addition, complete analytic stability analysis results are derived.

ISBN: 059971607XSubjects--Topical Terms:

1018488
Physics, General.

Synchronization and phase dynamics of coupled oscillators.
LDR:02245nmm 2200277 4500 001 1857405
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020 $a 059971607X
035 $a (UnM)AAI9966956
035 $a AAI9966956
040 $a UnM $c UnM
100 1 $a Heath, Ted Hoyt. $3 1945124
245 1 0 $a Synchronization and phase dynamics of coupled oscillators.
300 $a 362 p.
500 $a Source: Dissertation Abstracts International, Volume: 61-04, Section: B, page: 1988.
500 $a Director: Kurt Wiesenfeld.
502 $a Thesis (Ph.D.)--Georgia Institute of Technology, 1999.
520 $a The synchronization of coupled oscillators is studied in the context of two distinct systems: a one-dimensional array of Josephson junctions shunted by an RLC load and one- and two-dimensional arrays of coupled phase model oscillators. First, hysteresis in Josephson junction arrays is investigated. A long-standing discrepancy between the dynamics of the full equations and the corresponding averaged equations is resolved. By introducing a self-consistency condition into the averaging method, hysteresis is recovered. Comparisons between the numerics of the full equations and those of the self-consistent averaging are quite good. Next, an analog circuit is developed to simulate the dynamics of a one-dimensional array of Josephson junctions shunted by an RLC load. Although the design is readily extendable to N junctions, only two coupled junctions are explicitly considered. The circuit behavior is compared with analytic results obtained via the averaged equations. Finally, the static and dynamic beam steering of one- and two-dimensional arrays of coupled oscillators is studied. It is found that by manipulating the natural frequencies of the army elements, the position of the far-field intensity pattern can be controlled. Explicit solutions to the dynamical equations are obtained. In addition, complete analytic stability analysis results are derived.
590 $a School code: 0078.
650 4 $a Physics, General. $3 1018488
650 4 $a Physics, Electricity and Magnetism. $3 1019535
690 $a 0605
690 $a 0607
710 2 0 $a Georgia Institute of Technology. $3 696730
773 0 $t Dissertation Abstracts International $g 61-04B.
790 1 0 $a Wiesenfeld, Kurt, $e advisor
790 $a 0078
791 $a Ph.D.
792 $a 1999
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9966956