Global Bifurcation Analysis of the Lorenz System


Valery A. Gaiko - United Institute of Informatics Problems, National Academy of Sciences of Belarus, Surganov Str. 6, Minsk 220012, Belarus.


We carry out the global bifurcation analysis of the classical Lorenz system. For many years, this system has been the subject of study by numerous authors. However, until now the structure of the Lorenz attractor is not clear completely yet, and the most important question at present is to understand the bifurcation scenario of chaos transition in this system. Using some numerical results and our bifurcational geometric approach, we present a new scenario of chaos transition in the Lorenz system.