| Description: | ======================================================================== Title: Hamiltonian Formalism for Lienard Systems Speaker : Rohitashwa Chattopadhyay Roll No.: 14109271 Date : Friday, 24 June 2016 Time : 03:30 P.M. Venue : FB382 ======================================================================== Abstract: Hamiltonian formulation is one of the most fundamental formalisms in physics. It is widely used as a starting point in the analyses of systems in classical, quantum, relativistic, and statistical mechanics. Hamiltonian for a conservative system is usually given by the sum of the kinetic energy and the potential energy. For a dissipative system, there is no unique way (if there is one at all) of writing a Hamiltonian, and a corresponding satisfactory Hamiltonian formalism is yet to be formulated. Lienard system is a general class of nonlinear systems that encompass a plethora of nonlinear dissipative oscillators (for e.g. van der Pol oscillator, Duffing oscillator etc.). In this talk, we shall discuss the various methods that are employed to formulate Hamiltonians for such nonlinear dissipative systems. We shall then discuss an oxymoronic implementation of canonical perturbation theory to find frequency and amplitude perturbatively for the van der Pol oscillator. Thus, we shall overcome the limitation of canonical perturbation theory that it can only be applied to conservative systems. We shall conclude this talk by touching upon the methods and the implications of quantizing nonlinear dissipative systems. ======================================================================== |
| Confirmation status: | Confirmed |
| Room: | Room Booking - FB 382 |
| Start time: | 03:30:00PM - Friday 24 June 2016 |
| Duration: | 1 hours |
| End time: | 04:30:00PM - Friday 24 June 2016 |
| Type: | type. |
| Created by: | phyfac |
| Modified by: | |
| Last updated: | 03:22:56PM - Friday 02 September 2016 |
| Repeat type: | None |