SOLVABLE SUBMANIFOLDS OF TANGENT BUNDLE AND J. MATHER GENERIC LINEAR EQUATIONS

被引：0

作者：

Fukuda, Takuo ^{[1
]}

Janeczko, Stanislaw ^{[2
,3
]}

机构：

[1] Nihon Univ, Dept Math, Coll Human & Sci, Setagaya Ku, Sakurajousui 3-25-40, Tokyo 1568550, Japan

[2] Inst Matemat PAN, Ul Sniadeckich 8, PL-00656 Warsaw, Poland

[3] Warsaw Univ Sci & Technol, Wydzial Matemat & Nauk Informacyjnych, Ul Koszykowa 75, PL-00662 Warsaw, Poland

来源：

METHODS AND APPLICATIONS OF ANALYSIS | 2018年 / 25卷 / 03期

关键词：

Symplectic manifold; singularities; Hamiltonian systems; Poisson-Lie algebras;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using J. Mather results on solutions of generic linear equations the smooth solvability of implicit differential systems is investigated. Implicit Hamiltonian systems are considered and algebraic version of J. Mather theorem was applied in this case. For the generalized Hamiltonian systems defined by P.A.M. Dirac on smooth constraints we find the corresponding Poisson-Lie algebras as a basic symplectic invariants of submanifolds in the symplectic space.

引用

页码：233 / 255

页数：23

共 4 条

[1] On the Consequences of A Theorem by J. Liouville Regarding the Possibility and the Impossibility to Actually Find Specific Solutions of the Riccati and Second Order Linear Equations
Kapcia, Andrzej
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2008, 83 (97): : 87 - 97
[2] Closure to Discussion of ‘Approximate Decoupling of the Equations of Motion of Linear Underdamped Systems’ (1989, ASME J. Appl. Mech., 56, p. 731)
Felszeghy, Stephen F., 1600, American Society of Mechanical Engineers (ASME) (56):
[3] Closure to "Discussion of 'Analysis of a system of linear delay differential equations' " (2007, ASME J. Dyn. Syst., Meas., Control, 129, pp. 121-122)
Asl, Farshid Maghami
Ulsoy, A. Galip
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2007, 129 (01): : 123 - 123
[4] Discussion: "Analysis of a system of linear delay differential equations" ( Asl, F. M., and Ulsoy, A. G. 2003, ASME J. Dyn. Syst., Meas., Control, 125, pp. 215-223)
Zafer, Naci
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2007, 129 (01): : 121 - 122

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