Characteristic exponents and invariant manifolds in Hilbert space

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1977-1990/P_80_11/P_80_11.pdf

Ruelle, David

RUELLE

03/1980

Abstract : The multiplicative ergodic theorem and the construction almost everywhere of stable and unstable manifolds (Pesin theory) are extended to differentiable dynamical systems on Hilbert manifolds under some compactness assumptions. The results apply to partial differential equations of evolution and also to non-invertible maps of compact manifolds.

THEORIE ERGODIQUE

P/80/11

©IHES

Citer ce document

RUELLE, “Characteristic exponents and invariant manifolds in Hilbert space,” Archives de l'IHES, consulté le 20 mai 2024, https://omeka.ihes.fr/document/P_80_11.pdf.