Fractal properties of robust strange nonchaotic attractors in maps of two or more dimensions

초록

The existence of robust strange nonchaotic attractors was addressed. In particular, the information dimension of the attractor for these maps was shown to be D<inf>0</inf>=N+1, while the box-counting dimension was D<inf>0</inf>=N+1. In addition, a rational approximation technique was used to investigate the dynamical origin of SNA', as well as to gain additional understanding on why, D<inf>1</inf>=1 and D<inf>0</inf>=2.