Abstract
In physics and engineering, the most readily visualized examples are usually those in classical mechanics. The starting point at the elementary level is New-ton’s second law, while at the more advanced level one can form the Lagrangian L = T -V where T is the kinetic energy andV the potential energy. We shall apply both approaches to nonlinear mechanics where the force is a nonlinear function of the displacement and, perhaps, the velocity.
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© 2004 Springer Science+Business Media New York
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Enns, R.H., McGuire, G.C. (2004). Nonlinear Systems. Part I. In: Nonlinear Physics with Mathematica for Scientists and Engineers. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0211-0_2
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DOI: https://doi.org/10.1007/978-1-4612-0211-0_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6664-8
Online ISBN: 978-1-4612-0211-0
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