Evolvement feature of nonlinear dynamical system and application in seismic inversion
【摘要】：正 Chaos is a kind of prevalent phenomenon in nonlinear dynamic system. Aiming at the chaotic feature of seismic inversion dynamic system, a novel inversion algorithm is proposed through adaptive Lyapunov exponent control and it can make system evolving to fixed point rapidly. We discussed evolvement feature by analyzing the relations among controlling parameter, Lyapunov exponent and system evolvement in logistic equation. Nonlinear inversion equation is established for seismic signal based on controlling chaos approach. Numerical experiment shows that this method can control effectively chaotic phenomenon of nonlinear inversion system. Adding noise, it also shows reliable inversion results.