Asymmetrical novel hyperchaotic system with two exponential functions and an application to image encryption
Али А. Шукур, Mohanad A. AlFallooji, Viet–Thanh Pham
Abstract
Abstract In this article, asymmetrical novel system with two exponential functions, which can show hyperchaotic behavior, has been proposed. Although new system possesses only one unstable equilibrium. The dynamical behaviors of such system are discovered by computing the Lyapunov exponents and bifurcation diagram. Furthermore, the synchronization of the proposed system are also presented by an adaptive synchronization approach of two identical hyperchaotic systems. An application to image encryption has been obtained.
Topics & Concepts
EncryptionLyapunov exponentExponential functionSynchronization (alternating current)Bifurcation diagramControl theory (sociology)Image (mathematics)BifurcationComputer scienceMathematicsApplied mathematicsNonlinear systemTopology (electrical circuits)Mathematical analysisChaoticArtificial intelligencePhysicsControl (management)Quantum mechanicsCombinatoricsOperating systemChaos control and synchronizationChaos-based Image/Signal EncryptionQuantum chaos and dynamical systems