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 ...

Of fundamental importance to the qualitative understanding of dynamical systems are invariant manifolds. In this presentation we will explore a recent paper of MacKay on a condition which guarantees ...

Billiards systems have long served as a celebrated model in dynamical systems, revealing deep connections between geometry, chaos and integrability. The study of such systems—ranging from the ...

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 ...