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- Title
Noether theorem and its inverse for nonstandard generalized Chaplygin systems.
- Authors
Jin, S. X.; Li, Y. M.; Chen, X. W.
- Abstract
In this paper, the Noether theorems and their inverse theorems for generalized Chaplygin systems with two types of nonstandard Lagrangians, related to exponential and power-law Lagrangian, are explored and presented. The variational principles for the Chaplygin systems with nonstandard Lagrangian are derived, and the generalized Chaplygin equations for the corresponding systems are established, the Noether transformations are considered, from which the corresponding conserved quantities are deduced. And their inverse theorems for nonstandard generalized Chaplygin systems are given. Two examples show the validity of the results.
- Subjects
NOETHER'S theorem; CONSERVATION laws (Mathematics); CONSERVED quantity; VARIATIONAL principles
- Publication
Acta Mechanica, 2024, Vol 235, Issue 2, p1361
- ISSN
0001-5970
- Publication type
Article
- DOI
10.1007/s00707-023-03812-y