Real dynamics for damped Newton’s method applied to cubic polynomials

In this paper we study the real dynamics of the damped Newton’s methods applied to cubic polynomials, but instead of taking a value of the damping factor λ∈(0,1)λ∈(0,1), we consider all values of λ∈Rλ∈R. The method for unusual values of λλ presents different behaviors such as convergence to nn-cycles or even chaos.