Dynamics Behaviours of a Discrete Memristor Map with Fractional Order
Amina–Aicha Khennaoui, Adel Ouannas
Abstract
In this paper; a simple fractional discrete memristor is designed using discrete fractional calculus, based on this model a fractional order discrete memristor based chaotic map is contructed. Dynamical behaviour of the proposed fractional model is investigated numerically. The impact of fractional order and system parameters on the newly model are illustrated using bifurcation diagrams and phase attractors. It is verified that the newly model has chaos behaviour.
Topics & Concepts
MemristorAttractorFractional calculusBifurcationChaoticMathematicsOrder (exchange)Simple (philosophy)Statistical physicsApplied mathematicsMathematical analysisComputer sciencePhysicsNonlinear systemArtificial intelligencePhilosophyQuantum mechanicsEconomicsEpistemologyFinanceNeural Networks Stability and SynchronizationChaos control and synchronizationstochastic dynamics and bifurcation