Hyperchaos in a second‐order discrete memristor‐based map model
Bocheng Bao, Houzhen Li, Huagan Wu, Xi Zhang, Mo Chen
Abstract
This Letter presents a new second‐order discrete map model, which is derived from a simple sampling switch‐based memristor‐capacitor circuit. The memristor‐based map model has infinite unstable and critical stable fixed points, and exhibits chaotic and hyperchaotic behaviours via a period‐doubling bifurcation scenario. These complex dynamical behaviours are confirmed by the phase portraits, iterative sequences and basins of attraction.
Topics & Concepts
MemristorOrder (exchange)MathematicsComputer scienceApplied mathematicsTopology (electrical circuits)AlgorithmControl theory (sociology)Electronic engineeringArtificial intelligenceEngineeringCombinatoricsEconomicsControl (management)FinanceAdvanced Memory and Neural ComputingChaos control and synchronizationNeural dynamics and brain function