165 citations
- Centre de Physique ThéoriqueFR25 papers
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Showing 2002 · math.DSShow all
3 papers · 2 filters
math.DS2002
Integrability, hyperbolic flows and the Birkhoff normal form
M. Rouleux
We prove that a Hamiltonian is locally integrable near a non-degenerate critical point of the energy, provided that the fundamental matrix at $ρ…
math.DS2002
Central symmetries of periodic billiard orbits in right triangles
S. Troubetzkoy
This paper had a serious error. In fixing the error the emphasis of the paper has changed completely, thus meriting a new name: ``Periodic orbits in right triangles''. I have made…
math.DS2002★ 1 cited
Recurrence and lyapunov exponents
B. Saussol, S. Troubetzkoy, S. Vaienti
We prove two inequalities between the Lyapunov exponents of a diffeomorphism and its local recurrence properties. We give examples showing that each of the inequalities is optimal.