Algebraic structure, dynamics and electronic circuit realization of a novel reducible hyperchaotic system

In this paper, a novel reducible 4-D hyperchaotic system Is proposed, and the algebraic structure, associated dynamics and the autonomous electronic circuit realization of the hyperchaotic system are presented. The system consists of 12 terms with 11 tunable parameters and can be called a purpose-specific system. Each parameter is accountable, without redundancy, as appropriate tunings can result to evolvement of different chaotic attractors. Another unique feature of the novel system is the ability to modulate the spectral density and other dynamics via parametric tuning. This is unlike other systems in which the spectral density relies more on the number of iterations. Also, the novel system has large parameter space, with each space having distinct control or bifurcation parameters, with each parameter having influence on the global evolution of its dynamics. Thus, some parameters have influence on the Lyapunov exponent spectra while others have influence on the spectral density of the time series evolution of the system. The simulated results of the mathematical model in the MATLAB environment matched its electronic circuit realization using Multisim software.