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Isoenergetic Nondegeneracy

The condition for isoenergetic nondegeneracy for a Hamiltonian

H=H_0({\bf I})+\epsilon H_1({\bf I}, \boldsymbol{\theta})


{\partial^2H_0\over\partial I_i\partial ...
{\partial H_0\over\partial I_j} & 0\cr}\right\vert\not=0,

which guarantees the Existence on every energy level surface of a set of invariant tori whose complement has a small Measure.


Tabor, M. Chaos and Integrability in Nonlinear Dynamics: An Introduction. New York: Wiley, pp. 113-114, 1989.

© 1996-9 Eric W. Weisstein