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arxiv: math-ph/0207001 · v2 · submitted 2002-06-29 · 🧮 math-ph · math.DG· math.DS· math.MP

The Poincare'-Nekhoroshev map

classification 🧮 math-ph math.DGmath.DSmath.MP
keywords invariantnekhoroshevpersistencetoriapplicationsapplybifurcationdiscuss
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We study a generalization of the familiar Poincar\'e map, first implicitely introduced by N.N. Nekhoroshev in his study of persistence of invariant tori in hamiltonian systems, and discuss some of its properties and applications. In particular, we apply it to study persistence and bifurcation of invariant tori.

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