Abrupt Change Detection Method Based on Features of Lorenz Trajectories

This paper presents a definition of bifurcation-type abrupt changes based on the bifurcation features Lorenz trajectories. These are result transition behavior dynamical system trajectories among different equilibrium regions. We demonstrate that these jumps can better reflect nature change. In analyzing equation trajectories, method for detecting is presented. A numerical solution adopted, using curve integral or vector product to construct time series positive and negative values. Changes in sign this accurately determine whether trajectory right left region, points at which equal zero times between regions, is, occurrence changes. completely dependent characteristics system. theoretical approach climate atmospheric model described. Compared with original identifying changes, has dynamic significance detect multi-dimensional series. Although be applied theoretically, applications real data first require smoothed.