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math.DS2026
Non-autonomous KAM theory for lower dimensional invariant tori (II): Normally parabolic case
Donato Scarcella, Frank Trujillo
Dynamical systems subject to non-autonomous perturbations decaying in time arise naturally in many physical contexts, including laser-molecule interactions, epidemiological models,…
math.DS2026
Non-autonomous KAM theory for lower dimensional invariant tori (I): Normally elliptic and hyperbolic cases
Donato Scarcella, Frank Trujillo
Many physical phenomena are naturally modeled by dynamical systems subject to non-autonomous perturbations that decay in time, including the interaction of a laser pulse with a mol…
math.DS2026
Degenerate fixed points of maps in Banach spaces and lattices with decay and their invariant manifolds
Inmaculada Baldomá, Pau Martín, Donato Scarcella
Degenerate fixed points of maps appear in many interesting problems in Celestial Mechanics, Economics and Chemistry. Lattice systems, that is, dynamical systems consisting in an in…