Abstract
In this article, a new chaotic system with hyperbolic sinusoidal function is introduced. This chaotic system provides a new category of chaotic flows which gives better perception of chaotic attractors. In the proposed chaotic flow with hyperbolic sinusoidal function, according to the changes of parameters of the system, the self-excited attractor and two forms of hidden attractors are occurred. Dynamic behavior of the offered chaotic flow is studied through eigenvalues, bifurcation diagrams, phase portraits, and spectrum of Lyapunov exponents. Moreover, the existence of double-scroll attractors in real word is considered via the Orcard-PSpice software through an electronic execution of the new chaotic flow and illustrative results between the numerical simulation and Orcard-PSpice outcomes are obtained. Lastly, random number generator (RNG) design is completed with the new chaos. Using the new RNG design, a novel voice encryption algorithm is suggested and voice encryption use and encryption analysis are performed.
Highlights
Chaotic flows are mathematical models originated from the rules of defining chaotic behaviors [1,2].In the former decades, the chaos theory has been employed in numerous fields such as digital signature [3], secure cryptography [4], pseudorandom number generation [5], secure communication [6], weak signal detection [7], DC-DC boost converter [8], image encryption [9], neurophysiology [10], secure data transmission [11], etc
In the search for chaos flows with hyperbolic sinusoidal function, we study the form of a three-dimensional chaotic structure as:
Proposed system belongs to a new category of dynamical systems with hidden chaotic flows, which
Summary
Chaotic flows are mathematical models originated from the rules of defining chaotic behaviors [1,2].In the former decades, the chaos theory has been employed in numerous fields such as digital signature [3], secure cryptography [4], pseudorandom number generation [5], secure communication [6], weak signal detection [7], DC-DC boost converter [8], image encryption [9], neurophysiology [10], secure data transmission [11], etc. It is observed that Shilnikov method [23,24] is not applicable to check chaos behavior in special dynamical systems with no equilibrium point or with stable equilibrium points. Such dynamical systems can be viewed as systems with hidden chaotic attractors in scientific computing [24,25,26]. Chaotic systems with hidden attractors can result in unexpected disastrous behavior in mechanical systems and electronic circuits
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