Abstract
The main purpose of this book is to acquaint students with some physical systems describable by linear mathematics and to introduce them to the elegant and systematic mathematical methods available for understanding such systems. This is an important purpose, because some of the systems studied by physicists are linear, or approximately so, and because a thorough knowledge of linear systems can improve one’s insight into nonlinear systems. There has been much work on nonlinear problems in recent years, work that physicists should study, because many of the systems that they wish to understand are either slightly or seriously nonlinear. Therefore we devote this chapter and one other to introductory discussion of a few simple nonlinear systems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Notes
Kryloff, N., and N. Bogoliuboff. Introduction to Nonlinear Mechanics. Princeton, NJ: Princeton University Press, 1943.
Butenin, N. N. Elements of the Theory of Nonlinear Oscillations. New York: Blaisdell, 1965
Meirovitch, L. Elements of Vibration Analysis. New York: McGraw Hill, 1975.
Mickens, R. E., An Introduction to Nonlinear Oscillations. New York: Cambridge University Press, 1981.
Lefschetz, S. Differential Equations: Geometric Theory. New York: Dover, 1977.
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Bloch, I. (1997). Nonlinear Oscillations. In: The Physics of Oscillations and Waves. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0050-0_8
Download citation
DOI: https://doi.org/10.1007/978-1-4899-0050-0_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0052-4
Online ISBN: 978-1-4899-0050-0
eBook Packages: Springer Book Archive