Analysis of a Generalized Lorenz–Stenflo Equation

Abstract EN

Although the globally attractive sets of a hyperchaotic system have important applications in the fields of engineering, science, and technology, it is often a difficult task for the researchers to obtain the globally attractive set of the hyperchaotic systems due to the complexity of the hyperchaotic systems.

Therefore, we will study the globally attractive set of a generalized hyperchaotic Lorenz–Stenflo system describing the evolution of finite amplitude acoustic gravity waves in a rotating atmosphere in this paper.

Based on Lyapunov-like functional approach combining some simple inequalities, we derive the globally attractive set of this system with its parameters.

The effectiveness of the proposed methods is illustrated via numerical examples.