Integral Sliding Mode Controller Design for the Global Chaos Synchronization of a New Finance Chaotic System with Three Balance Points and Multi-Stability

Abstract

Abstract This paper conveys new results of a new finance chaotic system with three unstable balance points of which one balance point is a hyperbolic saddle while the other balance points are saddle-foci. The new finance chaotic system involves three nonlinearities of which one is quadratic, the other is quartic and the third is absolute function nonlinearity. As an application of the new finance chaotic system, integral sliding mode control is invoked to achieve synchronization of master-slave finance chaotic systems. MATLAB simulations are carried out to explain the main results of this research report.