Mathematicians from HSE Campus in Nizhny Novgorod Prove Existence of Robust Chaos in Complex Systems
Researchers from the International Laboratory of Dynamical Systems and Applications at the HSE Campus in Nizhny Novgorod have developed a theory that enables a mathematical proof of robust chaotic dynamics in networks of interacting elements. This research opens up new possibilities for exploring complex dynamical processes in neuroscience, biology, medicine, chemistry, optics, and other fields. The study findings have been accepted for publication in Physical Review Letters, a leading international journal. The findings are available on arXiv.org.
In scientific terms, chaos does not imply disorder but rather refers to dynamics that are extremely sensitive to even the slightest changes. Under these conditions, the system exhibits unpredictable behaviour, which can be useful in certain contexts. For example, in neuroscience, sustained chaotic activity helps prevent excessive synchronisation of neurons, thereby reducing the risk of epileptic seizures. Chaotic modes in artificial intelligence algorithms can contribute to more efficient training.
Chaotic dynamics are also used to describe behavioural and economic cycles, helping improve the accuracy of short-term forecasts. However, until recently, a key question remained: how can we determine whether the observed dynamics are truly chaotic, or merely a temporary phenomenon that eventually leads to system stabilisation?
Prof. Alexey Kazakov and doctoral students Efrosiniia Karatetskaia and Klim Safonov at the HSE Campus in Nizhny Novgorod, in collaboration with Dmitry Turaev, Professor at Imperial College London, were able to answer this question by applying the concept of pseudohyperbolicity.
Professor Turaev contributed to the development of this concept alongside Nizhny Novgorod mathematician Leonid Shilnikov. This property of the system prevents its transition to a stable state and ensures the robustness of chaotic behaviour, even in the presence of minor external disturbances. By testing the conditions of pseudohyperbolicity, the researchers demonstrated that networks of four or more identical interacting oscillators can exhibit robust chaos, given certain functions governing connections between the elements.
Furthermore, the authors constructed numerical maps outlining the regions of stable and unstable chaos and described various types of chaotic attractors, including two-winged and four-winged analogues of the classical Lorenz attractor.
The study was carried out within the framework of the HSE Centres of Excellence project and the HSE University Basic Research Programme intercampus project.
See also:
Banking Crises Drive Biodiversity Loss
Economists from HSE University, MGIMO University, and Bocconi University have found that financial crises have a significant negative impact on biodiversity and the environment. This relationship appears to be bi-directional: as global biodiversity declines, the likelihood of new crises increases. The study examines the status of populations encompassing thousands of species worldwide over the past 50 years. The article has been published in Economics Letters, an international journal.
Scientists Discover That the Brain Responds to Others’ Actions as if They Were Its Own
When we watch someone move their finger, our brain doesn’t remain passive. Research conducted by scientists from HSE University and Lausanne University Hospital shows that observing movement activates the motor cortex as if we were performing the action ourselves—while simultaneously ‘silencing’ unnecessary muscles. The findings were published in Scientific Reports.
Russian Scientists Investigate Age-Related Differences in Brain Damage Volume Following Childhood Stroke
A team of Russian scientists and clinicians, including Sofya Kulikova from HSE University in Perm, compared the extent and characteristics of brain damage in children who experienced a stroke either within the first four weeks of life or before the age of two. The researchers found that the younger the child, the more extensive the brain damage—particularly in the frontal and parietal lobes, which are responsible for movement, language, and thinking. The study, published in Neuroscience and Behavioral Physiology, provides insights into how age can influence the nature and extent of brain lesions and lays the groundwork for developing personalised rehabilitation programmes for children who experience a stroke early in life.
Scientists Test Asymmetry Between Matter and Antimatter
An international team, including scientists from HSE University, has collected and analysed data from dozens of experiments on charm mixing—the process in which an unstable charm meson oscillates between its particle and antiparticle states. These oscillations were observed only four times per thousand decays, fully consistent with the predictions of the Standard Model. This indicates that no signs of new physics have yet been detected in these processes, and if unknown particles do exist, they are likely too heavy to be observed with current equipment. The paper has been published in Physical Review D.
HSE Scientists Reveal What Drives Public Trust in Science
Researchers at HSE ISSEK have analysed the level of trust in scientific knowledge in Russian society and the factors shaping attitudes and perceptions. It was found that trust in science depends more on everyday experience, social expectations, and the perceived promises of science than on objective knowledge. The article has been published in Universe of Russia.
Scientists Uncover Why Consumers Are Reluctant to Pay for Sugar-Free Products
Researchers at the HSE Institute for Cognitive Neuroscience have investigated how 'sugar-free' labelling affects consumers’ willingness to pay for such products. It was found that the label has little impact on the products’ appeal due to a trade-off between sweetness and healthiness: on the one hand, the label can deter consumers by implying an inferior taste, while on the other, it signals potential health benefits. The study findings have been published in Frontiers in Nutrition.
IDLab: Fascinating Research, Tough Deadlines, and Academic Drive
The International Laboratory of Intangible-driven Economy (IDLab) was established at the HSE campus in Perm 11 years ago. Its expertise in data processing and analysis allows researchers to combine fundamental studies with applied projects, including the development of risk and cybersecurity models for Sber. The head of the laboratory, Professor Petr Parshakov, and Senior Research Fellow Professor Mariya Molodchik spoke to the HSE News Service about IDLab’s work.
HSE Psycholinguists Launch Digital Tool to Spot Dyslexia in Children
Specialists from HSE University's Centre for Language and Brain have introduced LexiMetr, a new digital tool for diagnosing dyslexia in primary school students. This is the first standardised application in Russia that enables fast and reliable assessment of children’s reading skills to identify dyslexia or the risk of developing it. The application is available on the RuStore platform and runs on Android tablets.
Physicists Propose New Mechanism to Enhance Superconductivity with 'Quantum Glue'
A team of researchers, including scientists from HSE MIEM, has demonstrated that defects in a material can enhance, rather than hinder, superconductivity. This occurs through interaction between defective and cleaner regions, which creates a 'quantum glue'—a uniform component that binds distinct superconducting regions into a single network. Calculations confirm that this mechanism could aid in developing superconductors that operate at higher temperatures. The study has been published in Communications Physics.
Neural Network Trained to Predict Crises in Russian Stock Market
Economists from HSE University have developed a neural network model that can predict the onset of a short-term stock market crisis with over 83% accuracy, one day in advance. The model performs well even on complex, imbalanced data and incorporates not only economic indicators but also investor sentiment. The paper by Tamara Teplova, Maksim Fayzulin, and Aleksei Kurkin from the Centre for Financial Research and Data Analytics at the HSE Faculty of Economic Sciences has been published in Socio-Economic Planning Sciences.