Stability of Chaotic and Hyperchaotic Finance Systems

Abstract

Abstract In this paper, a three (four) dimensional autonomous Finance chaotic (hyperchaotic) system is considered, and we obtained the stability of this systems. We show that the chaotic (three dimensional) system is asymptotically stable at the critical points when , and unstable otherways. While the hyperchaotic (four dimensional) system is asymptotically stable if the variables has the form . Finally, illustrative examples are given.

Keywords

• keywords
• stability
• routh
• hurwitz