Action-minimizing Methods in Hamiltonian Dynamics (MN-50) : An Introduction to Aubry-Mather Theory /

John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach-known as Aubry-Mather theory-singles out the existence of special orb...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sorrentino, Alfonso (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2015]
Edición:Pilot project,eBook available to selected US libraries only
Colección:Mathematical Notes ; 50
Temas:
Hamiltonian systems.
Mechanics.
MATHEMATICS / Applied.
Albert Fathi.
Aubry set.
AubryЍather theory.
Hamiltonian dynamics.
Hamiltonians.
HamiltonЊacobi equation.
John Mather.
KAM theory.
KAM tori.
Lagrangian dynamics.
MAK tori.
Ma set.
Ma's critical value.
Ma's potential.
Maher sets.
Peierls' barrier.
Tonelli Lagrangians.
action-minimizing measure.
action-minimizing orbits.
chaos.
classical mechanics.
compact manifold.
differentiability.
invariant Lagrangian graphs.
invariant probability measures.
invariant sets.
orbits.
pendulum.
stable motion.
strict convexity.
unstable motion.
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