There are few examples in dynamical systems theory which lend themselves to exact computations of macroscopic variables of interest. One such variable is the Lyapunov exponent which measures the average attraction of an invariant set. This article presents .a family of noninvertible transformations of the plane for which such computations are possible. This model sheds additional insight into the notion of what it can mean for an attracting invariant set to have a riddled basin of attraction.
MSU Digital Commons Citation
Billings, Lora; Curry, James H.; and Phipps, Eric, "Lyapunov exponents, singularities, and a riddling bifurcation" (1997). Department of Mathematical Sciences Faculty Scholarship and Creative Works. 22.
Billings, L., Curry, J. H., & Phipps, E. (1997). Lyapunov exponents, singularities, and a riddling bifurcation. Physical Review Letters, 79(6), 1018.