The Rössler system has been exhaustively studied for parameter values (a∈[0.33,0.557],b=2,c=4). Periodic orbits have been systematically extracted from Poincaré maps and the following problems have been addressed: (i) all low order periodic orbits are extracted, (ii) encoding of periodic orbits by symbolic dynamics (from 2 letters up to 11 letters) is achieved, (iii) some rules of growth and of pruning of the periodic orbits population are obtained, and (iv) the templates of the attractors are elaborated to characterize the attractors topology.

This content is only available via PDF.
You do not currently have access to this content.