  Noise play a creative role in the evolution of periodic and complex systems
which are essential for continuous performance of the system. The interaction
of noise generated within one component of a chaotic system with other
component in a linear or nonlinear interaction is crucial for system
performance and stability. These types of noise are inherent, natural and
insidious. This study investigates the effect of state-dependent noise on the
bifurcation of two chaotic systems. Circuit realization of the systems were
implemented. Numerical simulations were carried out to investigate the
influence of state dependent noise on the bifurcation structure of the Chen and
Arneodo-Coullet fractional order chaotic systems. Results obtained showed that
state dependent noise inhibit the period doubling cascade bifurcation structure
of the two systems. These results poses serious challenges to system
reliability of chaotic systems in control design, secure communication and
power systems.

Chaotic Dynamics