Periodic bouncing solutions for nonlinear impact oscillators
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Date
2012-04
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Publisher
SISSA
Abstract
We prove the existence of a periodic solution to a nonlinear impact
oscillator, whose restoring force has an asymptotically linear behavior.
To this aim, after regularizing the problem, we use phase-plane analysis,
and apply the Poincare'–Bohl fixed point Theorem to the associated
Poincare' map, so to find a periodic solution of the regularized problem.
Passing to the limit, we eventually find the “bouncing solution” we are
looking for.