The nonlinear chaotic model reconstruction for the experimental data obtained from different dynamic system (Q1970105)

This paper is devoted to the characteristic of nonlinear chaotic model, more precisely, the authors show: 1) suitable parametric adaptive control for this model can describe the nonlinear vibration phenomenon of limit circle, periodic orbit, quasiperiodic torus or strange attractor, 2) suitable parametric adaptive control for this model can describe the nonlinear vibration phenomenon of resonance and leap, 3) suitable parametric adaptive control for this model can describe the nonlinear vibration phenomenon of amplitude and frequency dependent upon each other, 4) suitable parametric adaptive control for this model can describe the nonlinear vibration phenomenon of bifurcation and chaos.