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k-Symplectic Lie systems: theory and applications

  • Published:2015-03 Issue:6 Volume:258 Page:2221-2255
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

de Lucas J.,Vilariño S.ORCID

Funder

Ministerio de Ciencia e Innovación

Polish National Science Centre grant HARMONIA

Gobierno de Aragón

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference59 articles.

1. Foundations of Mechanics;Abraham,1987

2. CRC Handbook of Lie Group Analysis of Differential Equations. Vol. 1. Symmetries, Exact Solutions and Conservation Laws;Anderson,1994

3. Group theoretical approach to superposition rules for systems of Riccati equations;Anderson;Lett. Math. Phys.,1981

4. Integrability in t-dependent systems with one degree of freedom;Angelo;J. Phys. A, Math. Theor.,2012

5. Mathematical Methods of Classical Mechanics;Arnold,1989

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1. Contact Lie systems: theory and applications;Journal of Physics A: Mathematical and Theoretical;2023-07-28

2. Stratified Lie systems: theory and applications;Journal of Physics A: Mathematical and Theoretical;2022-09-02

3. Reduction and reconstruction of multisymplectic Lie systems;Journal of Physics A: Mathematical and Theoretical;2022-07-04

4. An Infinite Family of Compact, Complete, and Locally Affine k-Symplectic Manifolds of Dimension Three;Symmetry;2021-11-11

5. Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi–Lie systems;Theoretical and Mathematical Physics;2020-11
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