Dynamical systems and number theory have increasingly converged to address deep questions at the interface of temporal evolution and arithmetic structure. Dynamical systems offer a formal framework ...

Dynamical systems and ergodic theory constitute a vibrant area of mathematical research that encompasses the study of systems evolving over time, whether these systems originate from physical ...

Researchers from Osaka University have developed an artificial intelligence algorithm that discovers the underlying conservation laws of real-world dynamical systems, not just the superficial dynamics ...

We often encounter nonlinear dynamical systems that behave unpredictably, such as the earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct the ...

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 ...

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern ...

Essentials for constructing a wide-dynamic-range system, including the application of switching or adaptive systems. Comparing multichannel vs. linear receivers. Analysis of how models react with ...

In 1885, King Oscar II of Sweden announced a public challenge consisting of four mathematical problems. The French polymath Henri Poincaré focused on one related to the motion of celestial bodies, the ...