Maximal degree variational principles and Liouville dynamics

DOI10.1016/j.difgeo.2003.12.003zbMath1052.58021OpenAlexW2073754616WikidataQ115358084 ScholiaQ115358084MaRDI QIDQ1877586

Paola Morando, Giuseppe Gaeta

Publication date: 19 August 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2003.12.003

zbMATH Keywords

variational principlesexterior differential systemvolume-preserving dynamics

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Geometric methods in ordinary differential equations (34A26) Variational principles in infinite-dimensional spaces (58E30) Dynamics induced by flows and semiflows (37C10) Exterior differential systems (Cartan theory) (58A15)

Related Items (4)

Symmetry and quaternionic integrable systems ⋮ SYMMETRY REDUCTION IN THE VARIATIONAL APPROACH TO LIOUVILLE DYNAMICS ⋮ Last multipliers on Lie algebroids ⋮ Quaternionic Integrability

Cites Work

• Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose
• Exterior differential systems and the calculus of variations
• Differential geometry and the calculus of variations
• Liouville dynamics and Poisson brackets
• Liouville condition, Nambu mechanics, and differential forms
• Hyper-Hamiltonian dynamics
• Generalized Hamiltonian Dynamics
• Hyper-Hamiltonian Dynamics and Quaternionic Regularity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Maximal degree variational principles and Liouville dynamics