A fat fractal crisis in a quasi-dissipative system

A crisis, induced by a sudden change of a fat strange set to a transit, is observed in a system, which is a two-dimensional discontinuous and noninvertible map and displays a dissipation sowing linear time dependence. It is shown analytically and numerically that, in this crisis, the characteristic scaling exponent takes a large value of 1.72; this is in agreement with the observed superlong transients.