Self-reproducing chaos and bursting oscillation analysis in a meminductor-based conservative system
Yuan Fang, Yuan Jin, Yuxia Li
Abstract
In this paper, a new meminductor model with sine function is presented. Based on this meminductor and a capacitor, a simple conservative chaotic system is designed. The proposed system has rich dynamic characteristics, including zero divergence, self-reproducing chaos, bursting oscillations, and symmetric Lyapunov exponent spectra. The corresponding mechanisms of these dynamic behaviors are analyzed theoretically. Furthermore, Multisim simulations and experimental circuit are performed to verify the numerical results.
Topics & Concepts
BurstingSineLyapunov exponentChaoticControl theory (sociology)Divergence (linguistics)CHAOS (operating system)Oscillation (cell signaling)Lyapunov functionComputer scienceStatistical physicsPhysicsMathematicsQuantum mechanicsArtificial intelligenceNonlinear systemGeometryControl (management)NeurosciencePhilosophyLinguisticsBiologyGeneticsComputer securityChaos control and synchronizationNonlinear Dynamics and Pattern Formationstochastic dynamics and bifurcation