POINCARE-LIKE CELL MAPPING METHOD AND ITS APPLICATION

A Poincare-like Cell Mapping method fit for both autonomous and periodic nonautonomous nonlinear dynamic systems is presented in this paper. Compared with the traditional Cell Mapping method, the new one has apparent advantages in practice due to introduction of Poincare section, and can be widely used in high dimension nonlinear dynamic systems. Using this new method, the global characteristic of balanced and unbalanced bearing rotor nonlinear dynamic systems are analyzed in this paper. The periodic solut...