ABSTRACT
Chaos Lemma and Henon·like Difference Equations 199
Switching the role of the variables and applying Lemma 3.6, we get the next
result.
there is a solution (Zi):!-oo such that for each j E Z, ~i+l = /(~i,~J-1) and
200 J. A. Kennedy and J. A. Yor/ce
Analogous proo& yield from Lemmas 3.7, 3.8, and 3.9, the following results:
partials such that lg{z, y, z)l < E for each (z, y, z) in Q, and each F: Q-R3 the