Dissipativity theory provides a unifying framework for analysing the stability and performance of nonlinear dynamical systems by quantifying the exchange of stored and supplied energy. At its core is ...

Dynamical systems encompass mathematical frameworks for describing how points in a given space evolve over time under deterministic or stochastic rules. They arise in contexts as varied as celestial ...

NUS mathematicians have developed a new theoretical framework based on dynamical systems to understand when and how a deep neural network can learn arbitrary relationships. Despite achieving ...

A new study in Nature Communications has established a link between the Riemann Hypothesis and dynamical phase transitions in ...

Living organisms, ecosystems and the planet Earth are, from a physics point of view, examples of extraordinarily large and complex systems that are not in thermal equilibrium. To physically describe ...

Society for Industrial and Applied Mathematics. Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a ...

As with so much in mathematics, the proof started with coffee. In September 2019, Kathryn Mann of Cornell University visited Kingston, Ontario, to give a guest lecture at Queen’s University. Afterward ...