title: Fractal properties of robust strange nonchaotic attractors in maps of two or more dimensions.
abstract: We consider the existence of robust strange nonchaotic attractors in a simple class of quasiperiodically forced systems. Rigorous results are presented demonstrating that the resulting attractors are strange in the sense that their box-counting dimension D0 is larger than their information dimension D1 by 1 (i.e., D(0)=D(1)+1). We also show how this property is manifested in numerical experiments.
authors.affiliation: Institute for Research in Electronics and Applied Physics, and Department of Physics, University of Maryland, College Park 20742, USA.
authors.forename: Jong-Won
authors.initials: JW
authors.lastname: Kim
authors.forename: Sang-Yoon
authors.initials: SY
authors.lastname: Kim
authors.forename: Brian
authors.initials: B
authors.lastname: Hunt
authors.forename: Edward
authors.initials: E
authors.lastname: Ott