Cube collect: a new strategy to make efficient the classical cell-to-cell algorithm

摘要

Cell-to-cell mapping is a very attractive methodology for the analysis of nonlinear dynamical systems, however classical implementation of this procedure makes it not suitable for practical applications due to the huge amount of memory requested. In this paper a new and highly efficient algorithm, named Cube Collect, is presented. It allows one to accurately analyze the behavior of high dimensional systems, in large regions of the state space, by using only a small amount of memory. Some results are reported in order to show the widespread suitability of the new procedure implemented.