Anti-synchronized quad-compound combination among parallel systems of fractional chaotic system with application
Emad E. Mahmoud, Lone Seth Jahanzaib, Pushali Trikha, Monagi H. Alkinani
Abstract
The paper introduces a novel 3-D chaotic fractional system. A thorough analytical study of the new system is done using Lyapunov spectrum, bifurcation analysis, equilibrium point analysis, existence & uniqueness of solution, etc. The system is synchronized using a novel technique ’Quad-compound combination anti-synchronization’ with its parallel systems using non linear and adaptive sliding mode control method. A comparative study of the obtained results has been done and illustration of achieved synchronization in secure communication is also provided.
Topics & Concepts
UniquenessSynchronization (alternating current)Equilibrium pointControl theory (sociology)ChaoticLyapunov functionChaotic systemsMathematicsComputer scienceMode (computer interface)Topology (electrical circuits)Control (management)Nonlinear systemMathematical analysisPhysicsQuantum mechanicsOperating systemCombinatoricsDifferential equationArtificial intelligenceChaos control and synchronizationChaos-based Image/Signal EncryptionNonlinear Dynamics and Pattern Formation