On the 60th birthday of V.I.Arnold

Invariant tori of intermediate dimensions in Hamiltonian systems

M. B. Sevryuk

117829, Russia, Moscow, V-334, GSP-1, Leninsky Prospect, 38, building. 2, Institute for Energy Problems of Chemical Physics RAS

Abstract: In the present paper, we survey recent results on the existence and the structure of Cantor families of invariant tori of dimensions $p>n$ in a neighborhood of families of invariant $n$-tori in Hamiltonian systems with $d \geqslant p$ degrees of freedom.

Received: 15.07.1997

DOI: 10.1070/RD1997v002n03ABEH000045

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