2 papers
math.DS2025
The Fundamental Theorem of Dynamical Systems: all at once and all in the same place
Andrew D. Lewis
The so-called Fundamental Theorem of Dynamical Systems -- which(1) relates attractors and repellers to the chain recurrent set and (2) gives the existence of a complete Lyapunov fu…
math.DG2025
Invariance of subbundles and nonholonomic trajectories
Andrew D. Lewis, Ahmed Gamal Shaltut
In the comparison of nonholonomic mechanics and constrained variational mechanics, invariant affine subbundles arise in the determination of the initial conditions where the two me…