Levinson–Smith Dissipative Equations and Geometry of GENERIC Formalism and Contact Hamiltonian Mechanics

Cariñena, José F. (Universidad de Zaragoza) ; Choudhury, A. Ghose ; Guha, Partha

Resumen: We apply Jacobi’s Last Multiplier theory to construct the non-standard Lagrangian and Hamiltonian structures for the Levinson–Smith equations satisfying the Chiellini integrability condition. Then after a brief exposition of the contact geometry, we explore its connection with the non-standard Hamiltonian structures. We present the formulation of the Levinson–Smith equation in terms of General Equation for the Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) method and also study the gradient-type flow. We give a geometric formulation of GENERIC and apply this to general Levinson–Smith equations.

Idioma: Inglés

DOI: 10.1007/s00332-024-10090-y

Año: 2024

Publicado en: JOURNAL OF NONLINEAR SCIENCE 34, 6 (2024), 108 [35 pp.]
ISSN: 0938-8974

Factor impacto JCR: 2.6 (2024)

Categ. JCR: MATHEMATICS, APPLIED rank: 35 / 344 = 0.102 (2024) - Q1 - T1
Categ. JCR: PHYSICS, MATHEMATICAL rank: 10 / 61 = 0.164 (2024) - Q1 - T1
Categ. JCR: MECHANICS rank: 71 / 171 = 0.415 (2024) - Q2 - T2

Factor impacto CITESCORE: 4.2 - Applied Mathematics (Q1) - Modeling and Simulation (Q2) - Engineering (all) (Q2)

Factor impacto SCIMAGO: 1.272 - Applied Mathematics (Q1) - Modeling and Simulation (Q1) - Engineering (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2021-125515NB-C22

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)