Embeddings of a strange attractor into R3.
The algorithm for determining a global Poincaré section is applied to a previously studied dynamical system on R2 x S1 and a one-parameter family of embeddings of the strange attractor it generates into R3. We find that the topological properties of the attractor are embedding dependent to a limited extent. These embeddings rigidly preserve mechanism, which is a simple stretch and fold. The embeddings studied show three discrete topological degrees of freedom: parity, global torsion, and braid type of the genus-one torus bounding the embedded attractor.
Tsankov
Tsvetelin D
TD
Physics Department, Drexel University, Philadelphia, Pennsylvania 19104, USA.
Nishtala
Arunasri
A
Gilmore
Robert
R