Abstract
In this paper, Matlab-Simulink and LabView models are constructed for a
new nonlinear dynamic system of equations in an eight-dimensional (8D)
phase space. For fixed parameters of the 8D dynamical system, the
spectrum of Lyapunov exponents and the Kaplan-York dimension are
calculated. The presence of two positive Lyapunov exponents demonstrates
the hyperchaotic behavior of the 8D dynamical system. The fractional
Kaplan-York dimension indicates the fractal structure of strange
attractors. We have shown that an adaptive controller is used to
stabilize the novel 8D chaotic system with unknown system parameters. An
active control method is derived to achieve global chaotic
synchronization of two identical novel 8D chaotic systems with unknown
system parameters. Based on the results obtained in Matlab-Simulink and
LabView models, a chaotic signal generator for the 8D chaotic system is
implemented in the Multisim environment. The results of chaotic behavior
simulation in the Multisim environment show similar behavior when
comparing simulation results in Matlab-Simulink and LabView models.