Adomian Decomposition Method for Detection of Chaos in the Rucklige System

where 3 2 ( , , ) , ( , ) x y z a b ∈ ∈ R R . It is a quadratic and Lorenz-like model.The integrability [9], the limit cycles [10], the chaos synchronization [11] and the feedback controller [12] et al., have been discussed very recently. Many researchers have made much effort to analytical and numerical methods for solving the chaotic systems. For example, the variational iteration method (VIM) [13] and the Adomian decomposition method (ADM) [14]