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The Geometry of Ordinary Variational Equations Book

The Geometry of Ordinary Variational Equations
The Geometry of Ordinary Variational Equations, , The Geometry of Ordinary Variational Equations has a rating of 3 stars
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  • The Geometry of Ordinary Variational Equations
  • Written by author Olga Krupkova
  • Published by Springer-Verlag New York, LLC, January 2008
  • The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global anal
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Book Categories

Authors

Ch. 1Introduction1
Ch. 2Basic Geometric Tools20
Ch. 3Lagrangean Dynamics on Fibered Manifolds41
Ch. 4Variational Equations52
Ch. 5Hamiltonian Systems80
Ch. 6Regular Lagrangean Systems97
Ch. 7Singular Lagrangean Systems129
Ch. 8Symmetries of Lagrangean Systems149
Ch. 9Geometric Integration Methods174
Ch. 10Lagrangean Systems on [actual symbol not reproducible]208
Bibliography229
Index246


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