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We investigate the existence and multiplicity of nontrivial periodic bouncing solutions for linear and asymptotically linear impact oscillators by applying a generalized version of the Poincaré–Birkhoff theorem to an adequate Poincaré section called the successor map. The main theorem includes a generalization of a related result by Bonheure and Fabry and(More)
of Talks In the multiple authors case, the name with * is the speaker. Abstract: (Preliminary report) We examine the asymptotic states of symmetric solutions to ∆u − grad W (u) = 0, u : R n → R n constructed by Alikakos and Fusco. Here W is equivariant under a finite reflection group and has n + 1 nondegenerate minima. Passing to the limit as x → ∞ in(More)
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