  We look at how evolution method deforms, when one considers Khovanov
polynomials instead of Jones polynomials. We do this for the figure-eight-like
knots (also known as 'double braid' knots, see arXiv:1306.3197) -- a
two-parametric family of knots which "grows" from the figure-eight knot and
contains both two-strand torus knots and twist knots. We prove that parameter
space splits into four chambers, each with its own evolution, and two isolated
points. Remarkably, the evolution in the Khovanov case features an extra
eigenvalue, which drops out in the Jones (t -> -1) limit.
