CMSA Special Seminar: Geometry of Generalized Lienard Equations, Contact Geometry and Metriplectic Structure

We start with a self-contained brief review of the construction of non-standard Lagrangian and Hamiltonian structures using the Jacobi Last Multiplier for the (generalized) reduced Lienard equations satisfying Chiellini integrability condition, we then explore its connection with the contact Hamiltonian mechanics. We also explore Lienard equations, of reaction-diffusion class and conformal (or contact) Hamiltonian Structures. Finally, we present the geometric formulation of the generalized Lienard equations in terms of metriplectic structure.

Joint work with Jose Carinena and Anindya Ghose Choudhury

Zoom link: https://harvard.zoom.us/j/7855806609