A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design

A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design

Blog Article

This paper reports about a novel three-dimensional chaotic system with three nonlinearities.The system has one stable equilibrium, two stable equilibria and one saddle node, two saddle foci and one saddle node for different parameters.One salient feature of this novel system is its multiple attractors caused by different initial values.

With here the change of parameters, the system experiences mono-stability, bi-stability, mono-periodicity, bi-periodicity, one strange attractor, and two coexisting strange attractors.The complex dynamic behaviors synovex one grass of the system are revealed by analyzing the corresponding equilibria and using the numerical simulation method.In addition, an electronic circuit is given for implementing the chaotic attractors of the system.

Using the new chaotic system, an S-Box is developed for cryptographic operations.Moreover, we test the performance of this produced S-Box and compare it to the existing S-Box studies.