DOI10.1090/memo/0775zbMath1038.70001OpenAlexW2083468772MaRDI QIDQ4807087
David Sauzin, Jean-Pierre Marco, Pierre Lochak
Publication date: 26 May 2003
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/d72abaf27e7b5d81a6d13fe8ce28c2b82cfeb8c0
Arnold diffusion in a priori chaotic symplectic maps,
Classifying triples of Lagrangians in a Hermitian vector space,
Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity. I,
Global Melnikov theory in Hamiltonian systems with general time-dependent perturbations,
Nekhoroshev's estimates for quasi-periodic time-dependent perturbations,
An inclination lemma for normally hyperbolic manifolds with an application to diffusion,
Normal forms, stability and splitting of invariant manifolds. I: Gevrey Hamiltonians,
Normal forms, stability and splitting of invariant manifolds. II: Finitely differentiable Hamiltonians,
Fast drift and diffusion in a class of isochronous systems with the windows method,
Bifurcation of solutions to Hamiltonian boundary value problems,
Effective stability for slow time-dependent near-integrable Hamiltonians and application,
Exponentially small splitting for the pendulum: A classical problem revisited,
Stationary phase methods and the splitting of separatrices,
Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method,
Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio,
Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation,
Large normally hyperbolic cylinders in a priori stable Hamiltonian systems,
Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies,
Resurgence in a Hamilton-Jacobi equation.,
Speed of Arnold diffusion for analytic Hamiltonian systems,
Analytic invariants for the \(1 : - 1\) resonance,
Measure and Capacity of Wandering Domains in Gevrey Near-integrable Exact Symplectic Systems,
Splitting of the separatrices after a Hamiltonian–Hopf bifurcation under periodic forcing,
A new method for measuring the splitting of invariant manifolds,
On the ``hidden harmonics associated to best approximants due to quasi-periodicity in splitting phenomena, Exponentially small splitting: a direct approach, Geometric properties of the scattering map of a normally hyperbolic invariant manifold, Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument, Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results, A functional analysis approach to Arnold diffusion, Lower bounds of the splitting of the invariant manifolds., Diffusion times and stability exponents for nearly integrable analytic systems, Intersections of Lagrangian submanifolds and the Mel'nikov 1-form, Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems, Oscillatory motions for the restricted planar circular three body problem, Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio, An expansion of the homoclinic splitting matrix for the rapidly, quasiperiodically, forced pendulum, Symbolic dynamics and Arnold diffusion, The steep Nekhoroshev's theorem
