Topics in Nonlinear Dynamics

Topics in Nonlinear Dynamics

COURSE OUTLINE: This is a basic course in classical mechanics at the senior undergraduate/ master's level. It covers the standard topics in this subject, including the Lagrangian and Hamiltonian formalisms. It also places the subject in the broader context of classical dynamical systems. The phase space description of such systems is highlighted, and the distinction between integrable and chaotic Hamiltonian systems is brought out. The role of symmetries is elucidated, and the connection between symmetry, invariance and conservation principles is explained. Special relativity is also covered, with an emphasis on the invariance and symmetry aspects as applied to classical mechanics.