Periodic Bouncing Solutions for Nonlinear Impact Oscillators
Keyword(s):
AbstractWe 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 Poincaré-Bohl fixed point Theorem to the associated Poincaré 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.
2021 ◽
Keyword(s):
2006 ◽
Vol 136
(3)
◽
pp. 473-483
◽
Keyword(s):
2020 ◽
Vol 55
(4)
◽
pp. 299-305
Keyword(s):
Keyword(s):
1989 ◽
Vol 49
(2)
◽
pp. 331-343
◽
Keyword(s):
2012 ◽
Vol 2012
(04)
◽
pp. P04004
◽
2015 ◽
pp. 83-127
◽