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Currently displaying 1 – 3 of 3

Order by Relevance | Title | Year of publication

Existence and asymptotics for selfdual periodic vortices of topological-type

Macrí, Marta; Nolasco, Margherita — 2007

Proceedings of Equadiff 11

Multiple homoclinic solutions for a class of autonomous singular systems in R2

Paolo Caldiroli; Margherita Nolasco — 1998

Annales de l'I.H.P. Analyse non linéaire

Multibump solutions for Hamiltonian systems with fast and slow forcing

Vittorio Coti Zelati; Margherita Nolasco — 1999

Bollettino dell'Unione Matematica Italiana

Si dimostra l'esistenza di infinite soluzioni «multi-bump» - e conseguentemente il comportamento caotico - per una classe di sistemi Hamiltoniani del secondo ordine della forma $- \ddot{q} + q = (g_{1} (ω t) + g_{2} (t / ω)) V^{'} (q)$ per $ω$ sufficientemente piccolo. Qui $q \in R^{n}$ , $g_{1}$ e $g_{2}$ sono funzioni strettamente positive e periodiche e $V$ è un potenziale superquadratico (ad esempio $V (q) = {|q|}^{4}$ ).

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