1. Additionally and independently of the chaos-analysis, we state publications, which specifically analyse the S&P 500 index as well as present an impact viewpoint of nonlinear dynamics from an economical viewpoint. Finally, we state the tension field around the Hurst exponent, long memory, multifractality, scaling and market efficiency;Racine Maasoumi;Empirical results in the academic literature specifically about chaotic or non-chaotic financial behaviour of asset dynamics,1951