Hamiltonian systems lie at the heart of classical mechanics, governing the evolution of purely conservative systems where energy is rigorously maintained. Yet, even within these structured frameworks, ...

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 ...

A new study has unveiled a significant advancement in chaos theory, introducing a flux-based statistical theory that predicts chaotic outcomes in non-hierarchical three-body systems. This breakthrough ...

A new study under the direction of Professor Barak Kol of the Hebrew University's Racah Institute of Physics establishes a novel method for comprehending the dynamics of non-hierarchical three-body ...

LMU researchers have found indications that it is possible to describe chaotic many-body systems of the quantum realm using a theory called fluctuating hydrodynamics. It is suspected that chaotic ...

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 ...