A Chaotic System with Infinite Equilibria and Its S-Box Constructing Application

Abstract

Systems with many equilibrium points have attracted considerable interest recently. A chaotic system with a line equilibrium has been studied in this work. The system has infinite equilibria and exhibits coexisting chaotic attractors. The system with an infinite number of equilibria has been realized by an electronic circuit, which confirms the feasibility of the system. Based on such a system, we have developed a new S-Box generation algorithm. With the developed algorithm, two new S-Boxes are produced. Performance tests of S-Boxes are performed. The tests have shown that proposed S-Boxes have good performance results.

Keywords

• chaos
• equilibrium
• Lyapunov exponent
• bifurcation diagram
• circuit
• S-Box