Developments in Advanced Complexity Theory

Academic Paper from the year 2019 in the subject Computer Science - Software, grade: A, ( Atlantic International University ), language: English, abstract: This essay describes or analyses the content, style and merit of the developments in Advanced Complexity Theory. Complex, self-organising, adaptive systems possess a kind of dynamism that makes them qualitatively different from static objects such as computer chips. Complex systems are more spontaneous, more disorderly, more alive than that. In the past three decades, chaos theory has shaken science to its foundations with the realisation that very simple dynamical systems can give rise to extraordinarily intricate behaviour. The edge of chaos is the constantly shifting battle zone between stagnation and anarchy, the one place where a complex system can be spontaneous, adaptive, and alive. Chaos theory is the qualitative study of unstable, aperiodic behaviour in deterministic, non-linear, dynamical systems. It is a specialised application of dynamical systems theory. Chaotic systems require impossible accuracy for useful prediction tasks. Chaos theory often seeks to understand the behaviour of a complex system by reconstructing its attractor, and knowing this attractor gives us qualitative understanding. Chaos theory includes theoretical hypotheses that assert relationships of qualitative (or topological) similarity between its abstract models and the actual systems it studies. Dynamics is used more as a source of qualitative insight than for making quantitative predictions. Its great value is its adaptability for constructing models of natural systems, which models can then be varied and analysed comparatively easily. Chaos theory is the quantitative study of dynamic non-linear system. Non-linear systems change with time and can demonstrate complex relationships between inputs and outputs due to reiterative feedback loops within the system. These systems are predictable but their behaviour is exquisitely sensitive to their starting point. Chaos is a sub-discipline of complexity. Complexity theory is the qualitative aspect drawing upon insights and metaphors that are derived from chaos theory.

Professor Gabriel Kabanda is an exceptional strategist, seasoned academician, data scientist, expert evaluator, shrewd business consultant and leader talented with competences for dealing with business and with people. He is a Full Professor of Computer Science and Information Systems; a Professor of Applied Business Informatics (MIS/BIS) at the University of Zimbabwe Business School since January, 2000; an Adjunct Professor of Cybersecurity in USA at both California State University - Chico (Cybersecurity for Executives Program Faculty, Regional and Continuing Education) [https://rce.csuchico.edu/cybersecurity-for-executives/faculty] and Ithaca College (New York; and the former Pro Vice Chancellor (Research, Innovation and Enterprise Development) of Zimbabwe Open University. He holds a Post-Doctorate of Science - D.Sc. (Atlantic International University, USA), Ph.D.(California, PWU), M.Sc. (Swansea University, UK) degrees in Computer Science, and a B.Sc. in Mathematics and Physics (University of Zimbabwe). Gabriel is a Fellow and the Secretary General of the Zimbabwe Academy of Sciences, Secretary General of the Africa-Asia-Dialogue Network [https://www.theaadn.org/aadn-executive-committee/], a Fellow of the African Scientific Institute (USA), and a member of the African Science, Research and Innovation Council (ASRIC) of the African Union. His international awards include Who's Who of Professionals (1997), the Golden Academic Excellence and Professional Achievement award (2013), the South African Department of Science and Technology's most accomplished African scientist and outstanding researcher (2017), and UNESCO's 'Most Notable and Top Distinguished Professor of the 21st Century' (May, 2021). He is currently the Qualified Country Co-Investigator (CCI) for Zambia and Zimbabwe of the international Global Leadership and Organizational Behavior Effectiveness (GLOBE) 2020 Project, which is a unique large-scale study of cultural practices, leadership ideals, and generalized and interpersonal trust in more than 160 countries in collaboration with more than 500 researchers [https://globeproject.com/about]. Gabriel has published 100 research publications and has supervised 11 Ph.D theses and 100 Masters Dissertations.