Chaos in a New Kind of Stochastic Brain Waves Model

An enzymatic substrate reaction with ferroelectric behavior in brain waves model is considered in this article. A random parameter is used to characterize the random factors of ferroelectric behavior. For this kind of stochastic brain waves model we firstly applied orthogonal polynomial approximation to reduce it to its equivalent deterministic one, and then obtain the response of equivalent one by available numerical method. Lastly the dynamical behavior in stochastic brain waves model has been paid more attention, especially the chaos behavior which depends on the random parameter. The numerical simulations show that the random parameter can not only lead to provide us some insight into the complex yet fascinating stochastic chaos phenomena, but also lead to new chaotic attractor sin brain waves model.