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Constraints and symmetry in mechanics of affine motion

  • Published:2014-04 Issue: Volume:78 Page:59-79
  • ISSN:0393-0440
  • Container-title:Journal of Geometry and Physics
  • language:en
  • Short-container-title:Journal of Geometry and Physics

Author:

Gołubowska B.,Kovalchuk V.,Sławianowski J.J.

Funder

Scientific Research Support Fund

Polish Ministry of Science and Higher Education

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference46 articles.

1. Classical and quantum collective dynamics of deformable objects. Symmetry and integrability problems;Sławianowski,2004

2. Mathematical Aspects of Classical and Celestial Mechanics;Arnold,1997

3. Discrete Vakonomic Mechanics;Benito;Math. Phys.,2005

4. Geometric description of vakonomic and nonholonomic dynamics. Comparison of solutions;Cortes;SIAM J. Control Optim.,2003

5. Geometry of Nonholonomically Constrained Systems;Cushman,2010

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1. Mechanics of infinitesimal gyroscopes on Mylar balloons and their action‐angle analysis;Mathematical Methods in the Applied Sciences;2020-01-06

2. Mechanics of Infinitesimal Test Bodies on Delaunay Surfaces: Spheres and Cylinders as Limits of Unduloids and Their Action-Angle Analysis;Journal of Geometry and Symmetry in Physics;2019

3. Quantized mechanics of affinely rigid bodies;Mathematical Methods in the Applied Sciences;2017-07-19

4. Some aspects of affine motion and nonholonomic constraints. Two ways to describe homogeneously deformable bodies;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2015-10-15

5. Classical and Quantization Problems in Degenerate Affine Motion;GEOM INTEGRAB QUANTI;2015
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