Study on the Topology Structure and Evolvement Analysis of Nonlinear Model under Superharmonic Resonance
Based on the work of domestic and foreign scholars and the application of complex systems theory, we study the first-order approximate solution of a category nonlinear model, and the intrinsic complex relationship among oscillation amplitude, phase, the system inherent damping parameters, driven amplitudeand driving frequency of approximate solution under the circumstances of system quality resonance that incentive frequency of nonlinear model which is far away from system inherent frequency when . We also study the evolution process of system complexity with different combination of factors , and have got some useful research findings.
J. H. Ma and Q. Zhang, "Study on the Topology Structure and Evolvement Analysis of Nonlinear Model under Superharmonic Resonance", Applied Mechanics and Materials, Vols. 58-60, pp. 73-78, 2011