Qualitative behavior of the Lorenz-like chaotic system describing the flow between two concentric rotating spheres

摘要

In this article, the bounds of the Lorenz-like chaotic system describing the flow between two concentric rotating spheres have been studied. Based on Lagrange multiplier method, the function extremum theory and the generalized positive definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive the ultimate bound and the globally exponentially attractive set for this system. The results that obtained in this article provides theory basis for chaotic synchronization, chaotic control, Hausdorff dimension and the Lyapunov dimension of chaotic attractors. (c) 2016 Wiley Periodicals, Inc. Complexity 21: 67-72, 2016