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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.

Keywords

Phase Plane Nonlinear Oscillation Circular Orbit Periodic Motion Negative Resistance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Notes

  1. Kryloff, N., and N. Bogoliuboff. Introduction to Nonlinear Mechanics. Princeton, NJ: Princeton University Press, 1943.Google Scholar
  2. Butenin, N. N. Elements of the Theory of Nonlinear Oscillations. New York: Blaisdell, 1965Google Scholar
  3. Meirovitch, L. Elements of Vibration Analysis. New York: McGraw Hill, 1975.Google Scholar
  4. Mickens, R. E., An Introduction to Nonlinear Oscillations. New York: Cambridge University Press, 1981.Google Scholar
  5. Lefschetz, S. Differential Equations: Geometric Theory. New York: Dover, 1977.Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Ingram Bloch

There are no affiliations available

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