Nonstandard Hamiltonian structures of the Lienard equation and contact geometry

被引：40

作者：

Carinena, Jose F. ^{[1
]}

Guha, Partha ^{[2
,3
]}

机构：

[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain

[2] SN Bose Natl Ctr Basic Sci, JD Block,Sect 3, Kolkata 700106, India

[3] Univ Sao Paulo, IFSC, BR-13560970 Sao Carlos, SP, Brazil

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2019年 / 16卷

关键词：

Reeb vector field; nonstandard Hamiltonian; contact structure; deformed Lagrangian; INTEGRABILITY; DEFORMATION; LAGRANGIANS;

D O I：

10.1142/S0219887819400012

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The construction of nonstandard Lagrangians and Hamiltonian structures for Lienard equations satisfying Chiellini condition is presented and their connection to time-dependent Hamiltonian formalism is shown. We also show that such nonstandard Lagrangians are deformations of simpler standard Lagrangians. We also exhibit their connection with contact Hamiltonian mechanics.

引用

页数：13

共 37 条

[1]

[Anonymous], 1928, REV GENERALE LELECTR, DOI DOI 10.1016/J.JWEIA.2013.09.002

[2]

[Anonymous], 1942, Duke Math. J, DOI [10.1215/S0012-7094-42-00928-1, DOI 10.1215/S0012-7094-42-00928-1]

[3]

[Anonymous], 1987, FDN MECH

[4]

[Anonymous], 1844, J REINE ANGEW MATH

[5]

Arnold V. I., 2013, Mathematical methods of classical mechanics, V60

[6] On quantized Lienard oscillator and momentum dependent mass [J].

Bagchi, B. ;

Choudhury, A. Ghose ;

Guha, Partha .

JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (01)

[7]

Banyaga A., 2016, NANKAI TRACTS MATH, V15

[8] New exact general solutions of Abel equation of the second kind [J].

Bougoffa, Lazhar .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (02) :689-691

[9] Contact Hamiltonian mechanics [J].

Bravetti, Alessandro ;

Cruz, Hans ;

Tapias, Diego .

ANNALS OF PHYSICS, 2017, 376 :17-39

[10]

Caldirola P, 1941, Nuovo Cim., V18, P393, DOI [DOI 10.1007/BF02960144, 10.1007/bf02960144]

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