scientific article; zbMATH DE number 2194169
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Publication:5465717
zbMath1156.37313MaRDI QIDQ5465717
Enrico Valdinoci, Vadim Yu. Kaloshin, John N. Mather
Publication date: 12 August 2005
Full work available at URL: http://smf4.emath.fr/en/Publications/Asterisque/2004/297/html/smf_ast_297_79-116.html
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variational methodsArnold diffusionMather theoryminimal measuresLyapunov stability of periodic orbits
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Arnold diffusion in a priori chaotic symplectic maps ⋮ Lyapunov unstable elliptic equilibria ⋮ A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems ⋮ Stability of periodic orbits in no-slip billiards ⋮ Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation ⋮ Dynamics of the dominant Hamiltonian ⋮ Generic super-exponential stability of elliptic equilibrium positions for symplectic vector fields ⋮ An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension ⋮ A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation ⋮ Super-exponential stability for generic real-analytic elliptic equilibrium points ⋮ Birkhoff's theorem and viscosity solutions of Hamilton-Jacobi equations
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