Abstract:
We use a Monte Carlo approach to study the universal properties associated with the breakdown of two-torus attractors for arbitrary winding numbers. We demonstrate that the renormalization equations have a universal strange attractor, compute its critical exponents, and discuss its structure. The fractal dimension of this attractor is 1.8 _+0.1.
Citation:
Farmer, J.D., Satija, I.I. & Umberger, D.K. (1986). 'A Universal Strange Attractor Underlying the Quasiperiodic Transition to Chaos'. Physics Letters, 114A(7), pp.341-345.