Scaling of the diffusion coefficient on the normal form remainder in doubly resonant domains

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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To appear in the proceedings of the international workshop on the dynamics of celestial bodies, Litohoro, Greece, July 2008 (i

Scientific paper

An outline of theoretical estimates is given regarding the dependence of the
value of the diffusion coefficient $D$ on the size $R$ of the remainder of the
normal form in doubly or simply resonant domains of the action space of 3dof
Hamiltonian systems.

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