Some Examples of Linear and Nonlinear Physical Systems and Their Dynamical Equations
This chapter is devoted to the discussion of a few simple examples of dynamics by using elementary means. The purpose of that is twofold, on one side after the discussion of these examples we will have a catalogue of systems to test the ideas we would be introducing later on; on the other hand this collection of simple systems will help to illustrate how geometrical ideas actually are born from dynamics.
- [La16]Lagrange, J.L.: Mécanique Analytique, 1816. A. Blanchard, Paris (1965)Google Scholar
- [Ja62]Jackson, J.D.: Classical Electrodynamics. Wiley, New York (1962)Google Scholar
- [Pe90]Perelomov, A.M.: Integrable Systems of Classical Mechanics and Lie Algebras. Birkhauser, Boston (1990)Google Scholar
- [Re80]Reed, M., Simon, B.: Functional Analysis, vol. I. Academic Press, New York (1980)Google Scholar
- [Es04]Esposito, G., Marmo, G., Sudarshan, G.: From Classical to Quantum Mechanics: An Introduction to the Formalism. Cambridge University Press, Cambridge (2004)Google Scholar