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Numerical analysis and applications ...

University of New Orleans.

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Numerical analysis and applications of the process of nonlinear supratransmission in mechanical systems of coupled oscillators with damping./
作者:	Macias Diaz, Jorge Eduardo.
面頁冊數:	144 p.
附註:	Source: Dissertation Abstracts International, Volume: 68-05, Section: B, page: 3130.
Contained By:	Dissertation Abstracts International68-05B.
標題:	Mathematics. -
電子資源:	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.
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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.
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