Energy Method of Topological Structure Analysis For Nonlinear Nonautonomous System
Bao Wenbo(1,2),Wen Bangchun(2)
(1 Shenyang University of Technology 110023) (2 Northeastern University 110004)

Abstract: Based on energy principle, an energy method of qualitative analysis (EMQA) for topological structure of nonlinearly nonautonomous system is developed, where the energy parameters are regarded as state ones of system. The system mo tion varies with energy parameters, the state thus depends on. The analysis indi cates that energy parameters uniquely govern the system condition and reveal plenty information of the dynamical behaviors. The energy phase diagram, energy time history, energy Poincaré mapping and energy bifurcation diagram in forced non   linar Duffing oscillator are investigated with EMQA to show the advatages over the existing approaches under a certain condition.
Keywords: nonlinear dynamics, nonautonomous system, topological structure, energy method.