Chaos Theory and Complex Systems
Institute of Physics, Humboldt-Universität zu Berlin, Berlin, Germany
The infrastructure, in particular power grids, of our modern society is efficient but also sensitive concerning strong perturbations, as attacks on the cybersystem or extreme climate events. Power grids are strongly ongoing a transition to distributed renewable energy sources. The desynchronization of a few of those would likely result in a substantial blackout. Thus, the dynamical stability of the wanted synchronous state has become a leading topic in power grid research, in particular for rather strong perturbations where traditional linearization-based concepts are not appropriate. To treat this problem, we discuss the concept of basin stability covering strong perturbations and identify most vulnerable motifs in power grids. Considering the vulnerability of power grids against extreme wind loads and, consequently, increasing its robustness to withstand these events is of great importance. Here, we combine adetailed model of the climatic drivers of extreme events, and a cascadable model of the transmission network to provide a holistic co-evolution model to explore wind-induced failures of transmission lines in the Texan electrical network. The proposed modelling approach could be a tool so far missing to effectively strengthen power grids against future hurricane or typhoon risks even under limited knowledge.
Jürgen Kurths studied mathematics at the University of Rostock and received his PhD. degree from the GDR Academy of Sciences. He worked as full Professor at the University of Potsdam, and since 2008 he joined the Humboldt University; at the same time, he possesses the Chair of the Research Department 4 “Complexity Science” of the Potsdam Institute for Climate Impact Research. His primary research interests include synchronization, complex networks, and time series analysis and their applications in Earth Sciences, Physiology, engineering, and others. He has made major contributions in nonlinear dynamics theory and climate networks. Prof. Kurths has published more than 600 articles that enjoying enormous citation (~120000, h-ind. 144) and has been a highly cited researcher since 2017. He is a Fellow of the American Physical Society, the Royal Society of Edinburgh and of the Network Science Society, and a member of the Academia Europaea. He received an Alexander von Humboldt Research Award in 2005 and 2021, the Richardson award from the European Geoscience Union in 2013, the Lagrange Award of Nonlinear Science and Complexity Conferences in 2022 and the SigmaPhi Price of the European Physical Society (together with Michael Kosterlitz, Nobel Price 2016) in 2023. He received eight Honorary Doctorates and Honorary Professorships. Finally, Prof. Kurths is Editor-in-chief of CHAOS – A Journal of Nonlinear Science.
President of the European Academy of Sciences and Arts, Salzburg, Austria. TUM Senior Excellence Faculty, Technische Universität München, Munich, Germany. Carl Friedrich von Weizsäcker-Center, Eberhard-Karls-Universität Tübingen, Germany
According to several prominent authors, a main part of 21st century science will be on complexity research. The intuitive idea is that global patterns and structures emerge from locally interacting elements like atoms in laser beams, molecules in chemical reactions, proteins in cells, cells in organs, neurons in brains, etc. (Mainzer 2007). Complex pattern formation has been reported from many disciplines (e.g., physics, chemistry, biology, brain research). The causes of complex pattern formation have been analyzed from various perspectives such as, e.g., Schrödinger's order from disorder (1948), Prigogine's dissipative structure (1980), Haken's synergetics (1983), Langton's edge of chaos (1990), brain research (Hodgkin/Huxley 1952), and memristive cellular networks (Mainzer/Chua 2013).
Recently, these results of complexity research have become important for machine learning of AI systems. Instead of complex pattern formation in nature, complex pattern recognition of artificial neural networks (ANN) is considered which is modeled in statistical learning theory. But ANN-systems are only simulated on digital computers with von-Neumann architectures which run into severe problems of energy consumption (von-Neumann bottleneck) in the future - in contrast to the highly energetically efficient biological brains. Therefore, neuromorphic systems with more brain-orientated computing such as memristive and photonic networks should be considered also for hardware realization. The research target is not only sustainable computing and AI with respect to energy and environment, but also to overcome mathematical limits of digital computing (Mainzer 2024).
References: K. Mainzer, Thinking in Complexity, Springer: Berlin 5th edition 2007; K. Mainzer/L. Chua, Local Activity Principle. The Cause of Complexity, World Scientific Singapore 2013; K. Mainzer, Artificial Intelligence. When do Machines take over? Springer: Berlin 2nd edition 2019; K. Mainzer, Artificial Intelligence of Neuromorphic Systems. From Digital, Analogue, Quantum, and Brain-Orientated Computing to Hybrid AI, World Scientific Singapore 2024.
Klaus Mainzer works as a philosopher of science on the foundations and future perspectives of science and technology. His focus is on the mathematization and computer modeling of science and technology. He became known as a complexity researcher who primarily investigates complex systems in nature, technology, business and society, the foundations of artificial intelligence and big data. Starting with constructive and algorithmically based mathematical methods, which were the subject of his doctorate, he dealt with their applications in geometry and physics in his habilitation. This resulted in the first books on the foundations and history of geometry, the concept of number (with H. Hermes, F. Hirzebruch, R. Remmert and others), the concept of symmetry and time, the theory of relativity, quantum mechanics and cosmology (with J. Audretsch) between 1980 and 1990. Since the beginning of the 1990s, computer-aided modeling of complex systems and their nonlinear dynamics has taken center stage. Numerous publications have been published on complex systems (with H. Haken), cellular automata and neural networks (with L. Chua). The starting point of Klaus Mainzer's research since his dissertation has been the question of the computability of the world. We live in a data-driven age of increasing complexity, the development of which is accelerated by exponential growth laws of data volumes, computer and storage capacities in global networks. The aim of his research is therefore constructively based solution and proof procedures in mathematics (with H. Schwichtenberg et al.) with which the algorithmization and digitization of technology and society remain controllable. He also devotes himself to this social goal in numerous publications, public lectures and contributions to the media. He is member of various academies all over the world. He currently serves as President of the European Academy of Sciences and Arts.
Institute for Cross-Disciplinary Physics and Complex Systems-IFISC, Universitat de les Illes Balears, Palma de Mallorca, Spain
The exploration of complex systems frequently yields surprising findings. This arises from the inherent nature of these systems: their dynamics are shaped not solely by individual elements within the system, but predominantly by the interactions among these elements. These interactions can give rise to emergent phenomena that may manifest in systems initially perceived as disparate. In this presentation, I will deepen into the dynamic behavior of delay-coupled semiconductor laser systems and show how the gained insights can be extended to the examination of neural circuits within the brain, particularly shedding light on the feature binding problem.
Going back from neurons to photonics, I will explore how the fundamental properties of neurons with dendritic compartments can inspire innovative approaches to pattern recognition tasks. By using simple optical components, we can design systems that mimic neural computation, opening the door to more efficient and scalable solutions in areas such as machine learning, signal processing, and artificial intelligence. These insights exemplify the bidirectional exchange between neuroscience and photonics, highlighting their potential to mutually advance each other.
Claudio R. Mirasso is Full Professor at the Physics Department of the Universitat de les Illes Balears and researcher of the Institute for Cross-Disciplinary Physics and Complex Systems (IFISC, UIB-CSIC). He received the M.Sc. and Ph.D. degrees in physics from the Universidad Nacional de La Plata, Buenos Aires, Argentina, in 1984 and 1989, respectively. He has authored or co-authored more than 190 publications receiving about 9000 citations. Prof. Mirasso was coordinator and principal investigator of the OCCULT project (IST-2000-29683) (2001-2004) and PHOCUS project (ICT-2009-240763) (2010-2012) and principal investigator in the PICASSO project (IST-2006-034551) (2006-2009) and GABA Project (FP6-2005-NEST-Path) (2006-2009), all of them funded by the European Commission. He was also principal investigator in national and autonomic projects as well as projects with companies. His research interests include the theoretical studies of information processing in the brain, the dynamics of neuronal circuits, biomedical time series analysis, neuro-inspired photonics devices, etc.
Demetzos Lab, Department of Pharmaceutics, University of Athens, Athens Greece. Ordinary Member of the European Academy of Sciences and Arts, Salzburg, Austria
Pharmaceutics involves the science of designing and developing drug formulations used to treat patient diseases. It includes the processes of drug absorption, distribution, metabolism, and excretion, collectively known as the ADME profile. Nanotechnology, which works at the atomic and molecular scale, plays a key role in developing nanocarriers defined as advanced excipients used to deliver drugs to target tissues. These nanocarriers are complex systems, and their behavior must be studied carefully, especially during batch-to-batch production of nanotherapeutics. The complexity of nanocarriers, due to their self-assembly and dynamic processes, creates challenges for both the pharmaceutical industry and academia.A sustainable regulatory system is needed to manage this complexity and support the approval process of innovative nanomedicines. Scientific efforts must address the non-linear and chaotic behaviors that arise during development, requiring advanced methods for accurate characterization. Additionally, principles of information and entropy are essential for understanding and controlling these complex systems. Artificial Intelligence (AI) can play a significant role in expanding the scientific and regulatory processes to evaluate the unique properties of nanoparticles, overcoming existing barriers in the approval process of nanomedicines.
Costas Demetzos is Professor of Pharmaceutical Nanotechnology in the National and Kapodistrian University of Athens. He serves as Director of the Laboratory of Pharmaceutical Technology and since 2008 he serves as President of the Hellenic Pharmaceutical Society (HPS). His research interests are primarily on Pharmaceutical Nanotechnology, Physical Pharmacy, Nanomedicine, Thermodynamics and Biophysics of nanoplatforms. He has been awarded national and international patents, while ha gained awards and honors for his contribution to the science of biomaterials and of pharmaceutical nanotechnology. Prof. Demetzos has published more than 300 research papers [h index 57), i10-index 194 (google scholar)], six monographs, co-authored one book and edited eight books. He participates as a member of Scientific Organizing Committees and as a President of International and European scientific Conferences, while being an evaluator in many National and International committees. He was an elected member of the ExCo of EUFEPS (Network Coordinator) (2013-2016). Currently, he is a member of the International Advisory Committee for Alzheimer\"s disease (2019 - present), and of the Hellenic Initiative Against Alzheimer\"s Disease (HIAAD) (2019- present). Since 2023 he acts as Associate Editor of the prestigious International Journal on nanotechnology, Journal of Liposome Research (JLR). He is also a member of the editorial board of scientific journals serving as an expert in the field of pharmaceutical nanotechnology. In 2018 he was honored with an award by the Order of Sciences of the Academy of Athens for his scientific achievements in Pharmaceutical Nanotechnology. In 2021, he has been elected as an Ordinary member in Class IV-Natural Sciences of the European Academy of Sciences and Arts (Academia Scientiarium et Artium Europaea). In 2024, he was awarded by the National and Kapodistrian University of Athens with the excellence of the outstanding University teaching of the Faculty of Health Sciences as a distinguished professor.