Perturbation Results

Abstract

In this chapter we discuss some perturbation results for systems like

EquationSource$$ \ddot q + \alpha \frac{q}{{{{\left| q \right|}^{\alpha + 2}}}} + \varepsilon W'(q) = 0 $$

, corresponding to a perturbed potential of the form

EquationSource$$ V(x) = - \frac{1}{{{{\left| x \right|}^\alpha }}} + \varepsilon W(x) $$

.