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Homoclinic and Heteroclinic Orbits i...

Yu, Guowei.

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Homoclinic and Heteroclinic Orbits in Lagrangian Dynamical Systems.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Homoclinic and Heteroclinic Orbits in Lagrangian Dynamical Systems./
Author:	Yu, Guowei.
Description:	126 p.
Notes:	Source: Dissertation Abstracts International, Volume: 74-11(E), Section: B.
Contained By:	Dissertation Abstracts International74-11B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3589223
ISBN:	9781303277108

Homoclinic and Heteroclinic Orbits in Lagrangian Dynamical Systems.
Yu, Guowei.

Homoclinic and Heteroclinic Orbits in Lagrangian Dynamical Systems. - 126 p.

Source: Dissertation Abstracts International, Volume: 74-11(E), Section: B.

Thesis (Ph.D.)--University of Minnesota, 2013.

In this thesis, variational methods are used to study the existence of homoclinic and heteroclinic orbits in various contexts of Lagrangian dynamical systems: 1. Monotone twist maps, which can be presented as time-one maps of certain positive definite time-periodic Lagrangian systems whose configuration spaces are 1-dim tori. 2. Time-periodic Tonelli Lagrangian systems whose configuration spaces are finite dimensional closed (i.e., compact, boundaryless) and connected smooth Riemannian manifolds. 3. Time-independent Tonelli Lagrangian systems whose configuration spaces are a 2-dim tori.

ISBN: 9781303277108Subjects--Topical Terms:

515831
Mathematics.

Homoclinic and Heteroclinic Orbits in Lagrangian Dynamical Systems.
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005 20140701144859.5
008 150210s2013 ||||||||||||||||| ||eng d
020 $a 9781303277108
035 $a (MiAaPQ)AAI3589223
035 $a AAI3589223
040 $a MiAaPQ $c MiAaPQ
100 1 $a Yu, Guowei. $3 2096794
245 1 0 $a Homoclinic and Heteroclinic Orbits in Lagrangian Dynamical Systems.
300 $a 126 p.
500 $a Source: Dissertation Abstracts International, Volume: 74-11(E), Section: B.
500 $a Adviser: Richard Moeckel.
502 $a Thesis (Ph.D.)--University of Minnesota, 2013.
520 $a In this thesis, variational methods are used to study the existence of homoclinic and heteroclinic orbits in various contexts of Lagrangian dynamical systems: 1. Monotone twist maps, which can be presented as time-one maps of certain positive definite time-periodic Lagrangian systems whose configuration spaces are 1-dim tori. 2. Time-periodic Tonelli Lagrangian systems whose configuration spaces are finite dimensional closed (i.e., compact, boundaryless) and connected smooth Riemannian manifolds. 3. Time-independent Tonelli Lagrangian systems whose configuration spaces are a 2-dim tori.
590 $a School code: 0130.
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mathematics. $3 1669109
690 $a 0405
690 $a 0364
710 2 $a University of Minnesota. $b Mathematics. $3 1675975
773 0 $t Dissertation Abstracts International $g 74-11B(E).
790 $a 0130
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3589223