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chao-dynApr 30, 1998
14
citations (OpenAlex)
authors
  • G. Gallavotti
  • G. Gentile
  • V. Mastropietro
institutions
  • Roma Tre University
  • University of Rome Tor Vergata
arXiv abstractPDF
paper

Melnikov's approximation dominance. Some examples

arXiv:chao-dyn/9804043 · doi:10.1142/S0129055X99000167

Abstract

We continue a previous paper to show that Mel'nikov's first order formula for part of the separatrix splitting of a pendulum under fast quasi periodic forcing holds, in special examples, as an asymptotic formula in the forcing rapidity.

46 Kb; 9 pages, plain TeX

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  • Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies
  • Asymptotic Expansion of the Homoclinic Splitting Matrix for the Rapidly, Quasiperiodically, Forced Pendulum
  • Fast drift and diffusion in an example of isochronous system through Windows Method
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