Discrete Memristance and Nonlinear Term for Designing Memristive Maps
R. Janarthanan, Othman Abdullah Almatroud, Shaher Momani, Viet–Thanh Pham, Vo Phu Thoai
Abstract
Chaotic maps have simple structures but can display complex behavior. In this paper, we apply discrete memristance and a nonlinear term in order to design new memristive maps. A general model for constructing memristive maps has been presented, in which a memristor is connected in serial with a nonlinear term. By using this general model, different memristive maps have been built. Such memristive maps process special fixed points (infinite and without fixed point). A typical memristive map has been studied as an example via fixed points, bifurcation diagram, symmetry, and coexisting iterative plots.
Topics & Concepts
MemristorNonlinear systemFixed pointChaoticTerm (time)Simple (philosophy)Computer scienceBifurcationBifurcation diagramPoint (geometry)AlgorithmTopology (electrical circuits)MathematicsArtificial intelligenceMathematical analysisGeometryPhysicsCombinatoricsEpistemologyQuantum mechanicsPhilosophyNeural dynamics and brain functionChaos control and synchronizationstochastic dynamics and bifurcation