Ghost Circles for Twist Maps

Authors

Christophe Golé, Smith CollegeFollow

Document Type

Article

Publication Date

1-1-1992

Publication Title

Journal of Differential Equations

Abstract

Completely ordered invariant circles are found for the gradient of the energy flow in the state space, containing the critical sets corresponding to the Birkhoff orbits of all rotation number. In particular, these ghost circles contain the Aubry-Mather sets and map-invariant circles as completely critical sets when these exist. We give a criterion for a sequence of rational ghost circles to converge to a completely critical one.

Volume

97

Issue

1

First Page

140

Last Page

173

DOI

10.1016/0022-0396(92)90088-5

ISSN

00220396

Rights

© the author

Comments

Author’s submitted manuscript.

Recommended Citation

Golé, Christophe, "Ghost Circles for Twist Maps" (1992). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/86