Equilibrium point

Quantum mechanics

Computer hardware

Algorithm

Control (management)

Chaotic

Bifurcation

Statistics

Realization (probability)

Embedded system

Encryption

Operating system

Computer science

Physics

Nonlinear system

Mathematics

Image (mathematics)

Cipher

Attractor

Mathematical analysis

Artificial intelligence

Combinatorics

Cryptography

Topology (electrical circuits)

Bifurcation diagram

Field-programmable gate array

Control theory (sociology)

IEEE Access

A new 3-D chaotic dynamical system with a peanut-shaped closed curve of equilibrium points is introduced in this work. Since the new chaotic system has infinite number of rest points, the new chaotic model exhibits hidden attractors. A detailed dynamic analysis of the new chaotic model using bifurcation diagrams and entropy analysis is described. The new nonlinear plant shows multi-stability and coexisting convergent attractors. A circuit model using MultiSim of the new 3-D chaotic model is designed for engineering applications. The new multi-stable chaotic system is simulated on a field-programmable gate array (FPGA) by applying two numerical methods, showing results in good agreement with numerical simulations. Consequently, we utilize the properties of our chaotic system in designing a new cipher colour image mechanism. Experimental results demonstrate the efficiency of the presented encryption mechanism, whose outcomes suggest promising applications for our chaotic system in various cryptographic applications.

A 3-D Multi-Stable System With a Peanut-Shaped Equilibrium Curve: Circuit Design, FPGA Realization, and an Application to Image Encryption