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Global Bifurcation of Periodic Solut...

Burnett, Joseph Vade.

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Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays./
Author:	Burnett, Joseph Vade.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2020,
Description:	91 p.
Notes:	Source: Dissertations Abstracts International, Volume: 82-08, Section: B.
Contained By:	Dissertations Abstracts International82-08B.
Subject:	Mathematics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28390911
ISBN:	9798569989188

Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays.
Burnett, Joseph Vade.

Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays. - Ann Arbor : ProQuest Dissertations & Theses, 2020 - 91 p.

Source: Dissertations Abstracts International, Volume: 82-08, Section: B.

Thesis (Ph.D.)--The University of Texas at Dallas, 2020.

This item must not be sold to any third party vendors.

Global bifurcation and spatio-temporal patterns of periodic solutions (with prescribed period) to second order reversible equivariant autonomous systems with commensurate delays is studied using the Brouwer O(2)xΓxZ2-equivariant degree theory. Here, O(2) is related to the reversal symmetry combined with the autonomous form of the system, Z2 is related to the oddness of the right-hand-side. Γreflects other spatial symmetries of the system (in particular it may be related to the symmetric character of the coupling in the corresponding network). Global bifurcation results were obtained for a general reversible second order autonomous system with multiple delays which were illustrated via concrete example with Γ = D6- the dihedral group of order 12.

ISBN: 9798569989188Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Second order systems

Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays.
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245 1 0 $a Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2020
300 $a 91 p.
500 $a Source: Dissertations Abstracts International, Volume: 82-08, Section: B.
500 $a Advisor: Krawcewicz, Wieslaw;Balanov, Zalman I.
502 $a Thesis (Ph.D.)--The University of Texas at Dallas, 2020.
506 $a This item must not be sold to any third party vendors.
520 $a Global bifurcation and spatio-temporal patterns of periodic solutions (with prescribed period) to second order reversible equivariant autonomous systems with commensurate delays is studied using the Brouwer O(2)xΓxZ2-equivariant degree theory. Here, O(2) is related to the reversal symmetry combined with the autonomous form of the system, Z2 is related to the oddness of the right-hand-side. Γreflects other spatial symmetries of the system (in particular it may be related to the symmetric character of the coupling in the corresponding network). Global bifurcation results were obtained for a general reversible second order autonomous system with multiple delays which were illustrated via concrete example with Γ = D6- the dihedral group of order 12.
590 $a School code: 0382.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
650 4 $a Applied mathematics. $3 2122814
653 $a Second order systems
653 $a Delay-differential equations
653 $a Periodic solutions
653 $a Brouwer equivariant degree
653 $a Reversible systems
653 $a Global bifurcation
690 $a 0405
690 $a 0642
690 $a 0364
710 2 $a The University of Texas at Dallas. $b Mathematics. $3 3558984
773 0 $t Dissertations Abstracts International $g 82-08B.
790 $a 0382
791 $a Ph.D.
792 $a 2020
793 $a English
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28390911