The local structure of a chaotic attractor in four dimensions (Q1073421)

Simple systems of ordinary differential equations exhibiting chaotic behavior are introduced. These systems are a model of forced dissipative fluid convection. The purpose of this study is to examine the nature of attractor for a system of more than three equations which possesses an aperiodic general solution. The local structure of attractor, Lyapunov exponents and fractal dimension are described. The system of four ordinary differential equations is studied by a numerical integration. Thus the attractor appears to be locally the product of three continua and one Cantor set. The Lyapunov exponents are approximately 3.34, 0.00, -1.79, -5.55.