This paper discusses the Karhunen-Loeve Transform as a methode to investigate the behavior of highly nonlinear dynamical systems. First, the mathematical concept of the Karhunen-Loeve Transform is introduced in brief. Then, the results of the joint research project "Monitoring of Railway Vehicles" are discussed. Finally, recent analyzes of the dynamics of railway wheelset by means of Karhunen-Loeve Transform are presented.
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