Description

This book concentrates mainly on the theorem of existence of periodic orbits for higher dimensional analogs of Twist maps. The setting is that of a discrete variational calculus and the techniques involve Conley-Zehnder-Morse Theory. They give rise to the concept of ghost tori which are of interest in the dimension 2 case (ghost circles). The debate is oriented somewhat toward the open problem of finding orbits of all (in particular, irrational) rotation vectors.

Symplectic Twist Maps: Global Variational Techniques

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Hardback by Christophe Gole

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This book concentrates mainly on the theorem of existence of periodic orbits for higher dimensional analogs of Twist maps. The... Read more

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 23/11/2001
    ISBN13: 9789810205898, 978-9810205898
    ISBN10: 9810205899

    Number of Pages: 324

    Non Fiction , Mathematics & Science , Education

    Description

    This book concentrates mainly on the theorem of existence of periodic orbits for higher dimensional analogs of Twist maps. The setting is that of a discrete variational calculus and the techniques involve Conley-Zehnder-Morse Theory. They give rise to the concept of ghost tori which are of interest in the dimension 2 case (ghost circles). The debate is oriented somewhat toward the open problem of finding orbits of all (in particular, irrational) rotation vectors.

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