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Unified Lagrangian‐Hamiltonian Formalism for Contact Systems.
- Source :
-
Fortschritte der Physik / Progress of Physics . Aug2020, Vol. 68 Issue 8, p1-12. 12p. - Publication Year :
- 2020
-
Abstract
- We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the approach of the pioneering work of R. Skinner and R. Rusk. This framework permits to skip the second order differential equation problem, which is obtained as a part of the constraint algorithm (for singular or regular Lagrangians), and is especially useful to describe singular Lagrangian systems. Some examples are also discussed to illustrate the method. A unified geometric framework is presented for describing both the Lagrangian and Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the approach of the pioneering work of R. Skinner and R. Rusk. This framework permits to skip the second order differential equation problem, which is obtained as a part of the constraint algorithm (for singular or regular Lagrangians), and is especially useful to describe singular Lagrangian systems. Some examples are also discussed to illustrate the method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00158208
- Volume :
- 68
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Fortschritte der Physik / Progress of Physics
- Publication Type :
- Academic Journal
- Accession number :
- 144949670
- Full Text :
- https://doi.org/10.1002/prop.202000045