Abstract

An innovative pragmatic approach is described using a symbiosis of modern signal processing techniques coming from nonlinear science and multiscale global analysis usually considered for the characterization of nanoscale systems with complex mesoscopic properties. The basis of this systemic approach comes from ultrasound imaging of the complexity with examples coming from the non-destructive testing (NDT) industry and from the medical harmonic imaging research. Modeling uses basic tools derived from the analysis of nonlinear dynamics, such as spectrum representations coming from harmonic analysis and multiscale analysis, in association with advanced signal processing such as similarity and invariance analysis based on group theory. Experimentation is based on multimodal imaging using time reversal (TR) based nonlinear elastic wave spectroscopy (NEWS). Practical implementation in the aeronautic industry and the biomedical imaging field is taken as a demonstration of feasibility of such advanced engineering TR-NEWS methods for imaging complex systems with an advanced ground truth approach including round robin tests. This new class of multiscale materials is studied with phenomenological approaches like the Preisach–Mayergoyz space (PM space), where some physical properties like hysteresis, end-point memory, and odd harmonic generations are extracted from the noise. As a consequence, this approach is proposed for including phenomenological tools to any organizations’ strategies in order to monitor the vulnerability in a societal emergency management context. These results could be applied for the organizational side of innovation, cognition, and practices for novelty and disruption in political organizations, social monitoring, and any system which will involve big data or artificial intelligence.

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