Solved Problems in Lagrangian and Hamiltonian Mechanics

• Main Authors: Gignoux, Claude (Author), Silvestre-Brac, Bernard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2009.
• Edition: 1.
• Subjects: Physics.; Mechanics.; Optics.; Electrodynamics.; Statistical physics.; Dynamical systems.; Statistical Physics, Dynamical Systems and Complexity.; Optics and Electrodynamics.

The aim of this work is to bridge the gap between the well-known Newtonian mechanics and the studies on chaos, ordinarily reserved to experts. Several topics are treated: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. The chapter devoted to chaos a...

Table of Contents:

• The Lagrangian Formulation
• Lagrangian Systems
• Hamilton’s Principle
• Hamiltonian Formalism
• Hamilton–Jacobi Formalism
• Integrable Systems
• Quasi-Integrable Systems
• From Order to Chaos.