Invariant tori lie at the heart of the modern theory of Hamiltonian dynamics, providing a geometric framework for understanding long-term evolution in conservative mechanical systems. In an integrable ...
Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”. The paper is just 13 pages long and its ...
Invariant manifolds are geometric structures in the phase space of a dynamical system that constrain trajectories and guide long‐term behaviour. They arise as stable, unstable or centre manifolds ...
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