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Homoclinic and Heteroclinic Orbits i...

Yu, Guowei.

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Homoclinic and Heteroclinic Orbits in Lagrangian Dynamical Systems.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Homoclinic and Heteroclinic Orbits in Lagrangian Dynamical Systems./
作者:	Yu, Guowei.
面頁冊數:	126 p.
附註:	Source: Dissertation Abstracts International, Volume: 74-11(E), Section: B.
Contained By:	Dissertation Abstracts International74-11B(E).
標題:	Mathematics. -
電子資源:	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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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.
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