Marsden, Jerrold E. (1992) Lectures on Mechanics. London Mathematical Society lecture note series, 174 . Cambridge University Press , Cambridge, England. ISBN 9780521428446 http://resolver.caltech.edu/CaltechAUTHORS:20110103-125952366
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Publisher's description: The use of geometric methods in classical mechanics has proven fruitful, with wide applications in physics and engineering. In this book, Professor Marsden concentrates on these geometric aspects, especially on symmetry techniques. The main points he covers are: the stability of relative equilibria, which is analyzed using the block diagonalization technique; geometric phases, studied using the reduction and reconstruction technique; and bifurcation of relative equilibria and chaos in mechanical systems. A unifying theme for these points is provided by reduction theory, the associated mechanical connection and techniques from dynamical systems. These methods can be applied to many control and stabilization situations, and this is illustrated using rigid bodies with internal rotors, and the use of geometric phases in mechanical systems. To illustrate the above ideas and the power of geometric arguments, the author studies a variety of specific systems, including the double spherical pendulum and the classical rotating water molecule.
|Additional Information:||Updated October 2009. c1992 by Cambridge University Press.|
|Subject Keywords:||Analytic Mechanics|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Shirley Johnson|
|Deposited On:||03 Jan 2011 21:15|
|Last Modified:||26 Dec 2012 12:48|
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