Geometry, Mechanics, and Dynamics The Legacy of Jerry Marsden
Abstract In this paper we study the Jacobiator (the cyclic sum that vanishes when the Jacobi identity holds) of the almost Poisson brackets describing nonholonomic systems. We revisit the local formula for the Jacobiator established by Koon and Marsden (Rep Math Phys 42:101–134, 1998) using suita...
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oai:scholar.dlu.edu.vn:DLU123456789-572662023-11-11T05:42:04Z Geometry, Mechanics, and Dynamics The Legacy of Jerry Marsden Chang, Dong Eui Holm, Darryl D Patrick, George Ratiu, Tudor Legacy Geometry Abstract In this paper we study the Jacobiator (the cyclic sum that vanishes when the Jacobi identity holds) of the almost Poisson brackets describing nonholonomic systems. We revisit the local formula for the Jacobiator established by Koon and Marsden (Rep Math Phys 42:101–134, 1998) using suitable local coordinates and explain how it is related to the global formula obtained in Balseiro (Arch. Ration. Mech. Anal. 214(2):453-501, 2014), based on the choice of a complement to the constraint distribution. We use an example to illustrate the benefits of the coordinate free viewpoint... 2015-08-07T07:34:39Z 2015-08-07T07:34:39Z 2015 Book /978-1-4939-2441-7 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57266 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Legacy Geometry |
| spellingShingle |
Legacy Geometry Chang, Dong Eui Holm, Darryl D Patrick, George Ratiu, Tudor Geometry, Mechanics, and Dynamics The Legacy of Jerry Marsden |
| description |
Abstract In this paper we study the Jacobiator (the cyclic sum that vanishes when
the Jacobi identity holds) of the almost Poisson brackets describing nonholonomic
systems. We revisit the local formula for the Jacobiator established by Koon and
Marsden (Rep Math Phys 42:101–134, 1998) using suitable local coordinates and
explain how it is related to the global formula obtained in Balseiro (Arch. Ration.
Mech. Anal. 214(2):453-501, 2014), based on the choice of a complement to the
constraint distribution. We use an example to illustrate the benefits of the coordinate
free viewpoint... |
| format |
Book |
| author |
Chang, Dong Eui Holm, Darryl D Patrick, George Ratiu, Tudor |
| author_facet |
Chang, Dong Eui Holm, Darryl D Patrick, George Ratiu, Tudor |
| author_sort |
Chang, Dong Eui |
| title |
Geometry, Mechanics,
and Dynamics
The Legacy of Jerry Marsden |
| title_short |
Geometry, Mechanics,
and Dynamics
The Legacy of Jerry Marsden |
| title_full |
Geometry, Mechanics,
and Dynamics
The Legacy of Jerry Marsden |
| title_fullStr |
Geometry, Mechanics,
and Dynamics
The Legacy of Jerry Marsden |
| title_full_unstemmed |
Geometry, Mechanics,
and Dynamics
The Legacy of Jerry Marsden |
| title_sort |
geometry, mechanics,
and dynamics
the legacy of jerry marsden |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57266 |
| _version_ |
1782541930671898624 |