The Geometry Of Ordinary Variational Equations - Olga Krupkova

The Geometry Of Ordinary Variational Equations - Olga Krupkova

Table of Contents

1.- INTRODUCTION
2.- BASIC GEOMETRIC TOOLS
3.- LAGRANGEAN DYNAMICS ON FIBERED MANIFOLDS
4.- VARIATIONAL EQUATIONS
5.- HAMILTONIAN SYSTEMS
6.- REGULAR LAGRANGEAN SYSTEMS
7.- SINGULAR LAGRANGEAN SYSTEMS
8.- SYMMETRIES OF LAGRANGEAN SYSTEMS
9.- GEOMETRIC INTEGRATION METHODS
10.- LAGRANGEAN SYSTEMS ON (Pi: R x M ---> R)

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