This paper analyzes the computational power of dynamical systems robust to infinitesimal perturbations. Previous work on the subject has delved on very specific types of systems. Here we obtain results for broader classes of dynamical systems (including those systems defined by Lipschitz/analytic functions). In particular we show that systems robust to infinitesimal perturbations only recognize...

Keywords--Pala is-Smale condition, Critical point theory, Hamiltonian systems, Perturbation from symmetry, Multiple periodic solutions. 1. I N T R O D U C T I O N In this paper, in the spirit of [1], we want to investigate the effect of perturbing the S l symmet ry of a general class of Hamiltonian systems. Studied around 1980 by Bahri and Berestycki in [2], the problem of finding multiple peri...