Slow Crossing of a Stochastic Layer

Henrard, Jacques;Henrard, M.
(1991) Physica D: Nonlinear Phenomena — Vol. 54, n° 1-2, p. 135-146 (1991)

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 911.01 KB
No access

Details

Authors
  • Henrard, JacquesUnamur
    Author
  • Henrard, M.
    Author
Abstract
The extension of the adiabatic invariant theory to separatrix crossing has led to a good understanding of the captures into resonance modeled by a slowly varying one degree of freedom Hamiltonian system. However, in many applications the one degree of freedom system considered is only an approximation of a system with more degrees of freedom and one must consider that the separatrix is actually a stochastic layer. A simplified model of such a situation is investigated and leads to an estimation of the probability of capture into resonance and of the time scale of such a capture. These estimates are compared with a numerical experiment on the modulated standard mapping.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Henrard, J., & Henrard, M. (1991). Slow Crossing of a Stochastic Layer. Physica D: Nonlinear Phenomena, 54(1-2), 135-146. https://doi.org/10.1016/0167-2789(91)90113-N (Original work published 1991)