Fast Arnold diffusion in systems with three time scales

Massimiliano Berti; Philippe Bolle

doi:10.3934/dcds.2002.8.795

Article Contents

2002, Volume 8, Issue 3: 795-811. Doi: 10.3934/dcds.2002.8.795

This issue Previous Article A degenerate evolution system modeling bean's critical-state type-II superconductors Next Article

Fast Arnold diffusion in systems with three time scales

Massimiliano Berti^1, and
Philippe Bolle^2,

1.
S.I.S.S.A., Via Beirut 2-4, 34014 Trieste
2.
Département de mathématiques, Université d'Avignon, 33, rue Louis Pasteur, 84000 Avignon

Received: March 31, 2001

Revised: July 31, 2001

Published: June 2002

Abstract Related Papers Cited by

Abstract

We consider the problem of Arnold Diffusion for nearly integrable partially isochronous Hamiltonian systems with three time scales. By means of a careful shadowing analysis, based on a variational technique, we prove that, along special directions, Arnold diffusion takes place with fast (polynomial) speed, even though the "splitting determinant" is exponentially small.

Keywords:

Mathematics Subject Classification: 37J40 , 37J45.

Citation:

Article Metrics

HTML views() PDF downloads(58) Cited by(0)

Fast Arnold diffusion in systems with three time scales

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Fast Arnold diffusion in systems with three time scales

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content