Stability analysis, circuit simulation, and color image encryption of a novel four-dimensional hyperchaotic model with hidden and self-excited attractors

Abstract A new four-dimensional hyperchaotic model (4-DHM) with eight parameters is examined in this work. Depending on how two of these parameters are chosen, this model may contain equilibrium points or not. Therefore, we may choose a value that will make the corresponding attractor either hidden or self-excited. In this model, we consider the two scenarios and analyze the dynamics of the two instances. The numerical simulation of the novel 4-DHM is shown together with bifurcation diagrams, the Lyapunov exponent, and an examination of equilibrium and stability. The novel 4-DHM may be used in many science and engineering applications, such as electronic circuits and image encryption. A physical implementation is added to the electronic circuit’s MATLAB Simulink to confirm that the new 4-DHM can be built. The results of the numerical analysis and electronic circuit simulation of our model were in a good agreement. The color image’s encryption, decryption, histogram analysis, information entropy, correlation coefficient, number of pixels change rate, and unified average changing intensity are examined using the proposed model.