Geometric degree of non conservativeness - Archive ouverte HAL Access content directly
Conference Papers Year : 2017

Geometric degree of non conservativeness


Symplectic structure is powerful especially when it is applied to Hamiltonian systems. We show here how this symplectic structure may define and evaluate an integer index that measures the defect for the system to be Hamiltonian. This defect is called the Geometric Degree of Non Conservativeness of the system. Darboux theorem on differential forms is the key result. Linear and non linear frameworks are investigated.
Fichier principal
Vignette du fichier
Lerbet2017.pdf (113.38 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-01658202 , version 1 (11-11-2019)



Jean Lerbet, Noël Challamel, François Nicot, Félix Darve. Geometric degree of non conservativeness. 3rd International Conference on Geometric Science of Information (GSI 2017), Nov 2017, Paris, France. pp.355--358, ⟨10.1007/978-3-319-68445-1_41⟩. ⟨hal-01658202⟩
271 View
95 Download



Gmail Mastodon Facebook X LinkedIn More