ABSTRACT

We propose a new approach for the identification of the resonances appearing in symplectic maps. In the proposed methodology, we make use of Evolutionary Algorithms which are population based search strategies used for global optimization. We have applied the proposed methodology to the 2 - dimensional (2D) Hénon map and obtained promising results which can be generalized to symplectic maps of higher (2m) dimensions. As is well-known, such maps are representative of Hamiltonian systems and occur in many physical applications.