Dynamical systems theory provides a rigorous framework to analyse how points evolve with time according to deterministic rules. At its heart lies the study of chaotic behaviour, hyperbolicity and the ...

Dynamical systems theory underpins our modern understanding of complex behaviours that arise in both natural and engineered systems. At its core, this field addresses the evolution of systems over ...

Intrinsic neural attractors and extrinsic environmental inputs jointly steer the dynamic trajectories of brain activity ...

A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, "Time-lagged recurrence: A data-driven method to estimate the predictability of ...

Researchers constantly seek innovative approaches to tackle cancer. One concept gaining traction is antifragility, a property where systems not only withstand stress but improve because of it. In ...

Quantum chaos describes chaotic classical dynamical systems in terms of quantum theory, but simulations of these systems are limited by computational resources. However, one team seems to have found a ...

The course will survey methods for characterizing time-series data by reading primary literature and implementing and testing methods on synthetic data. Students will simulate time-series from a ...

2025 marked a historic year in mathematics. Researchers solved a major case of Hilbert’s ambitious sixth problem, proved a sweeping new theorem about hyperbolic surfaces, and settled the longstanding ...

The Nonlinear Systems and Control group is seeking a talented and ambitious Postdoctoral Researcher to develop machine learning-enabled approaches for predictive modelling and state estimation for ...

Use individual and team exercises to build skills for a dynamic systems approach. Engineered systems increasingly must exploit complex interactions between multiple domains—mechanical, electrical, ...

Newton’s third law tells us that for every action, there’s an equal reaction going the opposite way. It’s been reassuring us for 400 years, explaining why we don’t fall through the floor (the floor ...

Expand Your Career Options With an Online Control Systems Certificate from One of the Nation’s Top Engineering Schools. Control systems engineers are responsible for designing, developing, and ...