IWCFTA2012 Keynote Speech II - Mathematical Theory for Complex Systems Modelling and its Applications in Science and Technology

Summary form only given. This talk will review our recent study on mathematical theory of complex systems modelling and its wide-ranging transdisciplinary applications in science and technology from the viewpoint of mathematical engineering and chaos engineering. We aim not only to systematize methodology for mathematically modelling complex systems on the basis of complex networks theory, control theory of complex systems, and nonlinear time series analysis, but also to provide solutions for complex societal problems with high importance and urgency, such as mathematics-based personalized treatment for prostate cancer and novel nonlinear electronic technology like chaos chips and AD converters based on β encoders.