A new three-dimensional chaotic system, its dynamical analysis and electronic circuit applications

Abstract In this paper, a new three-dimensional chaotic system is introduced, which contains the quadratic, cubic and quartic nonlinearities. Basic dynamical characteristics of this new system are studied such as equilibria, eigenvalue structures, Lyapunov exponent spectrum, fractal dimension and chaotic behaviors. Moreover, this paper investigates bifurcation analysis of the proposed chaotic system by means of a selected parameter. The chaotic system has been investigated by detailed numerical as well as theoretical analysis. Amplitude values are important in chaotic systems for real environment applications because of electronic components and materials limitations. Thus, the new chaotic system is rescaled and executed an electronic circuit implementation for real environment application. The obtained results show that this system has complex dynamics with some interesting characteristics and deserves a further detailed investigation. The new chaotic system can be useful in many engineering and scientific applications such as physics, control, cryptology and random number generator (RNG).

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