Dynamics of Double Chaos

Abstract

This paper includes studying (dynamic of double chaos) in two steps:First Step:- Applying ordinary differential equation have behaved chaotically such as (Duffing's equation) on (double pendulum) equation system to get new system of ordinary differential equations depend on it next step.Second Step:- We demonstrate existence of a dynamics of double chaos in Duffing's equation by relying on graphical result of Poincare's map from numerical simulation.Key word: Chaos, Duffing equation