Symbolic dynamics and Arnold diffusion

DOI10.1016/S0022-0396(02)00053-0zbMath1018.37038MaRDI QIDQ1864656

Jacky Cresson

Publication date: 18 March 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemssymbolic dynamichyperbolic toriBirkhoff-Smale theorem

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Symbolic dynamics (37B10)

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Arnold diffusion in a priori chaotic symplectic maps, Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems, Bianchi IX dynamics in bouncing cosmologies: homoclinic chaos and the BKL conjecture, Fast drift and diffusion in a class of isochronous systems with the windows method, Topologically crossing heteroclinic connections to invariant tori., Arnold diffusion for a complete family of perturbations, Hyperbolicity versus partial-hyperbolicity and the transversality-torsion phenomenon, Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems, Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders, Perturbations of geodesic flows by recurrent dynamics, On symplectic dynamics near a homoclinic orbit to 1-elliptic fixed point, A \(\lambda\)-lemma for normally hyperbolic invariant manifolds

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