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Twist mappings with non-periodic angles Markus Kunze1
 

Summary: Twist mappings with non-periodic angles
Markus Kunze1
& Rafael Ortega2
1
Universit¨at Duisburg-Essen, Fakult¨at f¨ur Mathematik,
D - 45117 Essen, Germany
2
Departamento de Matem´atica Aplicada, Universidad de Granada,
E-18071 Granada, Spain
Contents
1 Introduction 1
2 Symplectic maps in the plane and in the cylinder 6
3 The twist condition and the generating function 12
4 The variational principle 14
4.1 The Frenkel-Kontorowa model . . . . . . . . . . . . . . . . . . 15
4.2 A general framework . . . . . . . . . . . . . . . . . . . . . . . 16
5 Existence of complete orbits 19
6 The action functional of a Newtonian equation 25
7 Impact problems and generating functions 28
7.1 The Dirichlet problem . . . . . . . . . . . . . . . . . . . . . . 30

  

Source: Arias, Cristina M. - Departamento de Matemática Aplicada, Universidad de Granada

 

Collections: Mathematics