  Generic slow-fast systems with only one (time-scaling) parameter on the
two-torus have attracting canard cycles for arbitrary small values of this
parameter. This is in drastic contrast with the planar case, where canards
usually occur in two-parametric families. In present work, general case of
nonconvex slow curve with several fold points is considered. The number of
canard cycles in such systems can be effectively computed and is no more than
the number of fold points. This estimate is sharp for every system from some
explicitly constructed open set.
