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 ...

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 ...

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 ...

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

In 2009, a pair of astronomers at the Paris Observatory announced a startling discovery. After building a detailed computational model of our solar system, they ran thousands of numerical simulations, ...

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 ...