Семинар НУЛ МУСС: "Isochronous Nonlinear Oscillators associated with Certain Classes of Lienard type equations"
Приглашаем Вас на очередной онлайн семинар лаборатории НУЛ МУСС 22 сентября, в пятницу, в 13:00.
Ссылка на Zoom.
Title: Isochronous Nonlinear Oscillators associated with Certain Classes of Lienard type equations
Speaker: Dr. A. Durga Devi, Assistant Professor, Department of Physics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam, Tamilnadu, India
In this talk, I am going to present a study of Isochronous properties associated with certain classes of Lienard type of equations including linear, quadratic, mixed quadratic linear Lienard type equation and their higher order generalizations which exhibiting Isochronous properties. Then I show a systematic procedure to identify a collective coordinate, which is conjugate to a given Hamiltonian in order to generate isochronous systems. By generalising this procedure for N-coupled systems in terms of omega, I modified Hamiltonians and identified suitable canonically conjugate coordinates such that the resultant form is non-singular and the corresponding Newton's equation of motion is constraint free. Further, a class of N-coupled mixed quadratic linear Lienard type equations can also be identified with the specific class of transformations that possess isochronous properties an studied their integrability properties.