Artifacts in approximate solutions of nonlinear dynamical systems

非线性过程的研究是自然科学和工程中的一个重要问题，尤其是在机械系统中。振动中有许多现象只能用非线性模型来解释。有许多像谐波平衡这样的分析方法可以解决这类问题。然而，这些方法可能会产生人工产物解决方案。基于申请人先前的工作，应为若干非线性系统识别解析近似解中的这些伪影。

The investigation of nonlinear processes is a key issue in natural sciences and engineering especially in mechanical systems. There are numerous phenomena in vibrations that can only be explained by a nonlinear modeling.A number of analytical procedures like Harmonic Balance exist for the solution of such problems. However, these methods may produce artifact solutions. Based on prior work of the applicants these artifacts in analytical approximate solutions shall be identified for a number of nonlinear systems.