Numerical estimate of infinite invariant densities: application to Pesin-type identity
Numerical estimate of infinite invariant densities: application to Pesin-type identity
Weakly chaotic maps with unstable fixed points are investigated in the regime where the invariant density is non-normalizable. We propose that the infinite invariant density of these maps can be estimated using , in agreement with earlier work of Thaler. Here ρ(x,t) is the normalized density of particles. This definition …