Applications of a New 6D Hyperchaotic System with Hidden Attractors in Secure Communication and Wheeled Mobile Robot Navigation

Abstract

This paper introduces a novel six-dimensional (6D) chaotic dynamic system characterized by the absence of equilibrium points and the presence of hidden attractors. The study investigates the properties of this innovative system, including the computation of Lyapunov exponents and the Lyapunov dimension. Through comprehensive computer modeling in Matlab-Simulink, phase portraits of numerous hidden attractors are obtained, providing insight into the system’s complex dynamics. To validate the theoretical findings, electronic circuits for the 6D chaotic system were designed and implemented using Multisim software. The circuit simulations exhibit behavior consistent with the Matlab-Simulink models, confirming the reliability of the proposed system’s dynamics. The paper further explores the synchronization of two identical 6D hyperchaotic systems using active control techniques. Numerical analyses compare the systems behavior before and after control implementation, demonstrating the effectiveness of the active control method in achieving synchronization. Additionally, the active control approach is applied to chaotic masking and decoding of various signals, highlighting its potential in secure communication applications. We presented a novel application of the proposed 6D system as a source of control input signals for independent navigation of multiple mobile robots, and the paths of robots become unpredictable. We investigated the influence of some external factors on the navigation of a chaotic wheeled mobile robot.

Keywords

• Hyperchaotic behavior
• Hidden attractors
• Computer simulation
• Circuit implementation
• Active control synchronization
• Mobile wheel robot

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