The Effect of Weak dissipation in Two Dimensional Mapping
The influence of weak dissipation and its consequences in a two dimensional mapping are studied. The mapping is parametrized by an exponent g in one of the dynamical variables and by a parameter d which denotes the amount of the dissipation. It is shown that for different values of g the structure of the phase space of the nondissipative model is replaced by a large number of attractors. The approach to the attracting fixed point is characterized both analytically and numerically. The attracting fixed point exhibits a very complicated basin of attraction.
Int. J. Bifurc. Chaos