Isoenergetic Nondegeneracy

The condition for isoenergetic nondegeneracy for a Hamiltonian

is

|(partial^2H_0)/(partialI_ipartialI_j) (partialH_0)/(partialI_i); (partialH_0)/(partialI_j) 0|!=0,

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

Explore with Wolfram|Alpha

More things to try:

References

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

Referenced on Wolfram|Alpha

Isoenergetic Nondegeneracy

Cite this as:

Weisstein, Eric W. "Isoenergetic Nondegeneracy." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IsoenergeticNondegeneracy.html

Subject classifications