Complexity Economics Engineering Medicine Society

Complexity-based Classification of Dynamical System

The fundamental equation of the QCT shows how complexity itself is a variable with its own dynamics. As the interplay between structure (by structure we intend the map representing the flow of information within the system, i.e. the Complexity Map) and entropy cannot be expressed in the form of a function, this equation cannot be solved in closed form. However, setting the derivative of complexity to zero allows us to distinuish between the two types of above mentioned systems, i.e. isoentropic (entropy is constant) and isomorphic (the structure of the underlying complexity map remains unchanged). In the most general case, a system can find itself functioning as an isoentropic or an isomorphic system or in a situation in which both structure and entropy drive the evolution of complexity.

Established originally in 2005 in the USA, Ontonix is a technology company headquartered in Como, Italy. The unusual technology and solutions developed by Ontonix focus on countering what most threatens safety, advanced products, critical infrastructures, or IT network security - the rapid growth of complexity. In 2007 the company received recognition by being selected as Gartner's Cool Vendor. What makes Ontonix different from all those companies and research centers who claim to manage complexity is that we have a complexity metric. This means that we MEASURE complexity. We detect anomalies in complex defense systems without using Machine Learning for one very good reason: our clients don’t have the luxury of multiple examples of failures necessary to teach software to recognize them. We identify anomalies without having seen them before. Sometimes, you must get it right the first and only time!

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