Dynamics, circuit implementation and control of new caputo fractional order chaotic 5-dimensions hyperjerk model

Abstract

The major purpose of this research is to construct a new 5-dimensions hyperjerk chaotic model with fractional order (FO) derivatives. Caputo fractional order derivative is utilized to construct the new model. The proposed model has a single nonlinearity which simplifies its implementation in real applications. The 4.5-fractional order electronic circuit that implements the proposed model is designed with fractional order 0.9. The complexity of the proposed novel paradigm is computed in context of the graph theory concepts. Furthermore, two control strategies are discussed for the proposed chaotic model. Active control and a new reference controller are designed to control the proposed paradigm.

Keywords

• Fractional-order chaotic models
• Directed graphs
• Electronic circuit implementation
• Caputo fractional derivative stability