Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom

Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom

(AMS-208)

Kaloshin, Vadim; Zhang, Ke

Princeton University Press

11/2020

224

Mole

Inglês

9780691202525

15 a 20 dias

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Theorem; Degrees of freedom (statistics); Cohomology; Semi-continuity; Bifurcation theory; Compact space; Stable manifold; Smoothness; Heteroclinic orbit; Invariant measure; Coordinate system; Diffusion process; Equivalence relation; Homoclinic orbit; Phase space; Hamiltonian mechanics; Probability measure; Generic property; Discrete time and continuous time; Ergodic hypothesis; Perturbation theory (quantum mechanics); Integrable system; Invariant manifold; Linearization; Existential quantification; Degeneracy (mathematics); Symplectic vector space; Variational method (quantum mechanics); Homotopy; Subsequence; Barrier function; Homoclinic connection; Eigenvalues and eigenvectors; Initial condition; Tangent space; Hamiltonian system; Affine manifold; Canonical form; Euler-Lagrange equation; Codimension; Separatrix (mathematics); Subset; Limit point; Dense set; Configuration space; Open problem; Characterization (mathematics); Topological space; Lagrangian (field theory); Holonomy; Parameter; Covering space; Regime; Geodesic; Boundary value problem; Average; Submanifold; Curve; Three-body problem; Estimation; Unit circle; Analytic function; N0; Pushforward; Torus; Suggestion; Foliation; Dichotomy; Transversal (geometry); Connected component (graph theory)