• Journals
  • Discipline
  • Indexed
  • Institutions
  • About
JavaScript is disabled for your browser. Some features of this site may not work without it.
View Item 
  •   Home
  • Universidad de la Frontera
  • Cubo: A Mathematical Journal
  • View Item
  •   Home
  • Universidad de la Frontera
  • Cubo: A Mathematical Journal
  • View Item

The ergodic measures related with nonautonomous hamiltonian systems and their homology structure. Part 1

Author
Blackmore, Denis L.

Prykarpatsky, Yarema A.

Samoilenko, Anatoliy M.

Prykarpatsky, Anatoliy K.

Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1535
Abstract
There is developed an approach to studying ergodic properties of time-dependent periodic Hamiltonian flows on symplectic metric manifolds having applications in mechanics and mathematical physics. Based both on J. Mather’s [9] results about homology of probability invariant measures minimizing some Lagrangian functionals and on the symplectic field theory devised by A. Floer and others [3-8,12,15] for investigating symplectic actions and Lagrangian submanifold intersections, an analog of Mather’s 𝛽-function is constructed subject to a Hamiltonian flow reduced invariantly upon some compact neighborhood of a Lagrangian submanifold. Some results on stable and unstable manifolds to hyperbolic periodic orbits having applications in the theory of adiabatic invariants of slowly perturbed integrable Hamiltonian systems are stated within the Gromov-Salamon-Zehnder [3,5,12] elliptic techniques in symplectic geometry.
Metadata
Show full item record
Discipline
Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
Institutions
Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

LoginRegister
Dirección de Servicios de Información y Bibliotecas (SISIB) - Universidad de Chile
© 2019 Dspace - Modificado por SISIB