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We consider the persistence of smooth families of invariant tori in thereversible context 2 of KAM theory under various weak nondegeneracy conditionsvia Herman's method. The reversible KAM context 2 refers to the situation wherethe dimension of the fixed point manifold of the reversing involution is lessthan half the codimension of the invariant torus in question. The nondegeneracyconditions we employ ensure the preservation of any prescribed subsets of thefrequencies of the unperturbed tori and of their Floquet exponents (theeigenvalues of the coefficient matrix of the variational equation along thetorus).

Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2