Fractal properties of robust strange nonchaotic attractors in maps of two or more dimensions.
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.
Kim
Jong-Won
JW
Institute for Research in Electronics and Applied Physics, and Department of Physics, University of Maryland, College Park 20742, USA.
Kim
Sang-Yoon
SY
Hunt
Brian
B
Ott
Edward
E