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A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems
second order expansion separatrix map for trigonometric perturbations priori unstable systems
2015/9/25
In this paper we study a so-called separatrix map introduced by Zaslavskii-Filonenko [ZF68] and studied by Treschev and Piftankin [Tre98, Tre02,Pif06, PT07]. We derive a second order expansion of this...
A slight modification of the definition of the Thompson-Higman groups Gk,1 and Fk,1 leads to
inverse monoids that map onto Gk,1 (respectively Fk,1), and that have interesting properties: they are fin...