東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Numerical analysis and applications ...

University of New Orleans.

Linked to FindBook

Google Book

Amazon

博客來

Numerical analysis and applications of the process of nonlinear supratransmission in mechanical systems of coupled oscillators with damping.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Numerical analysis and applications of the process of nonlinear supratransmission in mechanical systems of coupled oscillators with damping./
Author:	Macias Diaz, Jorge Eduardo.
Description:	144 p.
Notes:	Source: Dissertation Abstracts International, Volume: 68-05, Section: B, page: 3130.
Contained By:	Dissertation Abstracts International68-05B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3261603
ISBN:	9780549003878

Numerical analysis and applications of the process of nonlinear supratransmission in mechanical systems of coupled oscillators with damping.
Macias Diaz, Jorge Eduardo.

Numerical analysis and applications of the process of nonlinear supratransmission in mechanical systems of coupled oscillators with damping. - 144 p.

Source: Dissertation Abstracts International, Volume: 68-05, Section: B, page: 3130.

Thesis (Ph.D.)--University of New Orleans, 2007.

In this paper we develop a finite-difference scheme to approximate radially symmetric solutions and (1 + 1)-dimensional solutions of the initial-value problem with smooth initial conditions 62w6t2 -12w-b 66t1 2w+g6w 6t+m2w+G' w=0, subjectto: wx&d1;,0 =fx&d1; ,x&d1;∈D, 6w6t x&d1;,0+y x&d1;, x&d1;∈D, in an open sphere D around the origin, where the internal and external damping coefficients beta and gamma, respectively, are constant. The functions &phis; and psi are radially symmetric in D, they are small at infinity, and r&phis;( r) and rpsi(r) are also assumed to be small at infinity. We prove that our scheme is consistent order O (Deltat2) + O (Deltar2) for G ' identically equal to zero, and provide a necessary condition for it to be stable order n. A cornerstone of our investigation will be the study of potential applications of our model to discrete versions involving nonlinear systems of coupled oscillators. More concretely, we make use of the process of nonlinear supratransmission of energy in these chain systems and our numerical techniques in order to transmit binary information. Our simulations show that, under suitable parametric conditions, the transmission of binary signals can be achieved successfully.

ISBN: 9780549003878Subjects--Topical Terms:

515831
Mathematics.

Numerical analysis and applications of the process of nonlinear supratransmission in mechanical systems of coupled oscillators with damping.
LDR:02135nam 2200265 a 45 001 942109
005 20110519
008 110519s2007 ||||||||||||||||| ||eng d
020 $a 9780549003878
035 $a (UMI)AAI3261603
035 $a AAI3261603
040 $a UMI $c UMI
100 1 $a Macias Diaz, Jorge Eduardo. $3 1266206
245 1 0 $a Numerical analysis and applications of the process of nonlinear supratransmission in mechanical systems of coupled oscillators with damping.
300 $a 144 p.
500 $a Source: Dissertation Abstracts International, Volume: 68-05, Section: B, page: 3130.
502 $a Thesis (Ph.D.)--University of New Orleans, 2007.
520 $a In this paper we develop a finite-difference scheme to approximate radially symmetric solutions and (1 + 1)-dimensional solutions of the initial-value problem with smooth initial conditions 62w6t2 -12w-b 66t1 2w+g6w 6t+m2w+G' w=0, subjectto: wx&d1;,0 =fx&d1; ,x&d1;∈D, 6w6t x&d1;,0+y x&d1;, x&d1;∈D, in an open sphere D around the origin, where the internal and external damping coefficients beta and gamma, respectively, are constant. The functions &phis; and psi are radially symmetric in D, they are small at infinity, and r&phis;( r) and rpsi(r) are also assumed to be small at infinity. We prove that our scheme is consistent order O (Deltat2) + O (Deltar2) for G ' identically equal to zero, and provide a necessary condition for it to be stable order n. A cornerstone of our investigation will be the study of potential applications of our model to discrete versions involving nonlinear systems of coupled oscillators. More concretely, we make use of the process of nonlinear supratransmission of energy in these chain systems and our numerical techniques in order to transmit binary information. Our simulations show that, under suitable parametric conditions, the transmission of binary signals can be achieved successfully.
590 $a School code: 0108.
650 4 $a Mathematics. $3 515831
650 4 $a Physics, Radiation. $3 1019212
650 4 $a Physics, Theory. $3 1019422
690 $a 0405
690 $a 0753
690 $a 0756
710 2 $a University of New Orleans. $3 1019084
773 0 $t Dissertation Abstracts International $g 68-05B.
790 $a 0108
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3261603