07-291 Mikko Stenlund
Asymptotic Expansion of the Homoclinic Splitting Matrix for the Rapidly, Quasiperiodically, Forced Pendulum (514K, PDF) Nov 22, 07
Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. e study a Hamiltonian describing a pendulum coupled with several anisochronous oscillators, devising an asymptotic expansion for the splitting (matrix) associated with a homoclinic point. This expansion consists of contributions that are manifestly exponentially small in the limit of vanishing hyperbolicity, by a shift-of-contour argument. Hence, we infer a similar upper bound on the splitting itself.

Files: 07-291.src( 07-291.comments , 07-291.keywords , homoclinic.pdf.mm )