Unified Lagrangian-Hamiltonian formalism for contact systems

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.

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This is the peer reviewed version of the following article: De León, M. [et al.]. Unified Lagrangian-Hamiltonian formalism for contact systems. "Fortschritte der physik. Progress of physics", 23 Juny 2020, vol. 68, núm. 8, p. 2000045-1-2000045-12., which has been published in final form at 10.1002/prop.202000045. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions

CitationDe León, M. [et al.]. Unified Lagrangian-Hamiltonian formalism for contact systems. "Fortschritte der physik. Progress of physics", 23 Juny 2020, vol. 68, núm. 8, p. 2000045-1-2000045-12.

URIhttp://hdl.handle.net/2117/343824

DOI10.1002/prop.202000045

ISSN0015-8208

Publisher versionhttps://onlinelibrary.wiley.com/doi/abs/10.1002/prop.202000045

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