Two Modified Chaotic Maps Based on Discrete Memristor Model
Guodong Li, Huiyan Zhong, Wenxia Xu, Xiangliang Xu
Abstract
The discrete memristor has aroused increasing interest. In this paper, two discrete memristors with cosine with amplitude memristance are designed based on the discrete memristor model. The Simulink models of the two discrete memristors are built to verify that they meet the definition of the memristor. To improve the dynamic of a classic chaotic map, the discrete memristors are introduced into two chaotic maps: a Logistic map and a Hénon Map. Through the trajectory analysis, Lyapunov exponent, bifurcation diagram, and complexity analysis, it is shown that discrete memristors can indeed make the dynamical behaviors of chaotic maps richer and more complex.
Topics & Concepts
MemristorChaoticLyapunov exponentBifurcation diagramComputer scienceLogistic mapDiscrete time and continuous timeBifurcationTrajectoryControl theory (sociology)MathematicsTopology (electrical circuits)Nonlinear systemArtificial intelligencePhysicsCombinatoricsAstronomyStatisticsControl (management)Quantum mechanicsAdvanced Memory and Neural Computingstochastic dynamics and bifurcationNeural Networks Stability and Synchronization