University of Udine, Department of Mathematics and Computer Science, via delle Scienze 206, 33100 Udine, Italy
Abstract:
Using a topological approach, we prove the existence of infinitely many periodic solutions and the presence of chaotic dynamics for the periodically forced second order ODE u″+bu+−au−=p(t). The choice of the equation is motivated by the studies about the Dancer-Fu?ik spectrum and the Lazer-McKenna suspension bridge model.