Mathematical Model and FPGA Realization of a Multi-Stable Chaotic Dynamical System with a Closed Butterfly-Like Curve of Equilibrium Points
Aceng Sambas, Sundarapandian Vaıdyanathan, Talal Bonny, Sen Zhang, Sukono Sukono, Yuyun Hidayat, Gugun Gundara, Mustafa Mamat
Abstract
This paper starts with a review of three-dimensional chaotic dynamical systems equipped with special curves of balance points. We also propose the mathematical model of a new three-dimensional chaotic system equipped with a closed butterfly-like curve of balance points. By performing a bifurcation study of the new system, we analyze intrinsic properties such as chaoticity, multi-stability, and transient chaos. Finally, we carry out a realization of the new multi-stable chaotic model using Field-Programmable Gate Array (FPGA).
Topics & Concepts
ChaoticButterfly effectRealization (probability)Field-programmable gate arrayComputer scienceBifurcationStability (learning theory)Equilibrium pointControl theory (sociology)Applied mathematicsMathematicsPhysicsMathematical analysisArtificial intelligenceDifferential equationNonlinear systemComputer hardwareControl (management)StatisticsQuantum mechanicsMachine learningChaos control and synchronizationQuantum chaos and dynamical systemsChaos-based Image/Signal Encryption