title: Dressed return maps distinguish chaotic mechanisms.
abstract: Chaotic data generated by a three-dimensional dynamical system can be embedded into R(3) in a number of inequivalent ways. However, when lifted into R(5) they all become equivalent, indicating that they all belong to a single universality class sharing a common chaos-generating mechanism. We present a complete invariant determining this universality class and distinguishing attractors generated by distinct mechanisms. This invariant is easily computable from an appropriately "dressed" return map of any particular three-dimensional embedding.
authors: Physics Department, Haverford College, Haverford, Pennsylvania 19041, USA.
authors: Daniel J
authors: DJ
authors: Cross
authors: R
authors: R
authors: Gilmore
mesh_terms: D003198:Computer Simulation; D015233:Models, Statistical; D017711:Nonlinear Dynamics