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1980

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/132772

Notas sobre la difusión de Arnold

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https://doi.org/10.5565/PUBLMAT_22180_04

Abstract

KAM theorem doesn't ensure stability for dynamical systems close to integrable Hamiltonian systems when the dimension of the phase space is more than four . In this case, irregular unstable orbits may occur, arbitrarily close to stable invariant tori . This is the Arnold diffusion . We study here some suf£icient conditions which guarantee the existence of this diffusion .

Subject

Sistemes hamiltonians

Subject (English)

Hamiltonian systems

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

DELSHAMS, Amadeu. Notas sobre la difusión de Arnold. Publicacions Matemàtiques. 1980. Vol. 22, num. 27-30. ISSN 0214-1493. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/132772

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