Characteristic Analysis of Fractional-Order Memristor-Based Hypogenetic Jerk System and Its DSP Implementation
Chuan Qin, Kehui Sun, Shaobo He
Abstract
In this paper, a fractional-order memristive model with infinite coexisting attractors is investigated. The numerical solution of the system is derived based on the Adomian decomposition method (ADM), and its dynamic behaviors are analyzed by means of phase diagrams, bifurcation diagrams, Lyapunov exponent spectrum (LEs), dynamic map based on SE complexity and maximum Lyapunov exponent (MLE). Simulation results show that it has rich dynamic characteristics, including asymmetric coexisting attractors with different structures and offset boosting. Finally, the digital signal processor (DSP) implementation verifies the correctness of the solution algorithm and the physical feasibility of the system.
Topics & Concepts
Lyapunov exponentJerkAttractorMemristorDigital signal processingBifurcation diagramControl theory (sociology)Offset (computer science)MathematicsComputer scienceBifurcationApplied mathematicsNonlinear systemElectronic engineeringMathematical analysisChaoticEngineeringPhysicsArtificial intelligenceAccelerationControl (management)Computer hardwareClassical mechanicsProgramming languageQuantum mechanicsAdvanced Memory and Neural Computingstochastic dynamics and bifurcationNeural Networks Stability and Synchronization