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Liénard systems and potential-Hamiltonian decomposition I – methodology by Jacques Demongeot; Nicolas Glade; Loic Forest is a Mathematics article available to read on EtoBox.

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Following the Hodge decomposition of regular vector fields we can decompose the second member of any Liénard system into 2 (non-unique) polynomials, the first corresponding to potential and the second to Hamiltonian dynamics. This polynomial Hodge decomposition is called potential-Hamiltonian, denoted PH-decomposition, and we give it for any polynomial differential system of dimension 2. We will give in a future Note an algorithm expliciting the PH-decomposition in the neighborhood of particular orbits, like a limit-cycle for Liénard systems, the method being applicable for any polynomial differential system of dimension 2.

Who reads Liénard systems and potential-Hamiltonian decomposition I – methodology?

Author

Jacques Demongeot; Nicolas Glade; Loic Forest

Publisher

Elsevier Science; Elsevier ; Elsevier Masson; Elsevier BV; Cellule MathDoc/CEDRAM (ISSN 1631-073X)

Published

2007

Language

FR

Field

Mathematics (Physical Sciences)