Novel four dimensional hyperchaotic system: analysis, adaptive control, analog and digital circuit design

In this paper, a new four-dimensional hyperchaotic system (HCS), with quadratic nonlinearities, has been proposed. The chaotic dynamical behaviors of the proposed system and its dynamic properties such as Lyapunov exponents, Kaplan Yorke dimension and dissipativity have been examined. To explore the proposed systems’ applications in communication world, adaptive self-synchronization scheme has also been put forward. The electronic realizability of the proposed system is examined in both analog and digital domains. The analog realization is based on Current Feedback Operational Amplifier (CFOA) while the Field Programmable Gate Array (FPGA) is used for digital one. The proposed HCS has some important features namely simple model, simple circuitry, minimum component count and sensitive with passive components that signifies the advantages for the signal processing circuit and its applications.