Title: A new chaotic jerk system with two quadratic nonlinearities and its applications to electronic circuit implementation and image encryption
Authors: Sundarapandian Vaidyanathan; Akif Akgul; Sezgin Kacar
Addresses: Research and Development Centre, Vel Tech University, Avadi, Chennai 600062, Tamil Nadu, India ' Department of Electrical and Electronics Engineering, Sakarya University, Esentepe Campus 54187 Serdivan, Sakarya, Turkey ' Department of Electrical and Electronics Engineering, Sakarya University, Esentepe Campus 54187 Serdivan, Sakarya, Turkey
Abstract: This work presents a new chaotic jerk system having two quadratic nonlinearities. Dynamical properties of the new jerk system are discovered through dissipativity, equilibrium point analysis, eigenvalues of the Jacobian matrices, bifurcation diagram, and Lyapunov exponents. The results also show that the new jerk system has interesting complex dynamics characteristics. Furthermore, random number generator (RNG), its NIST-800-22 tests, an image encryption application and its security analyses are realised with the new jerk system. The new chaotic jerk system can be useful in scientific fields such as physics, control, true and pseudo random number generator (TRNG, PRNG), artificial neural network, genetic algorithm etc.
Keywords: chaos; jerk systems; chaotic systems; random number generator; chaos based encryption; circuit implementation.
International Journal of Computer Applications in Technology, 2018 Vol.58 No.2, pp.89 - 101
Received: 03 Jul 2017
Accepted: 17 Jul 2017
Published online: 07 Sep 2018 *