Mathematical Model and FPGA Realization of a Multi-Stable Chaotic Dynamical System with a Closed Butterfly-Like Curve of Equilibrium Points
Source abstract
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).
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Research context
OpenAlex topics: Chaos control and synchronization · Quantum chaos and dynamical systems · Chaos-based Image/Signal Encryption
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, Indonesia
Centre for Control Systems, Vel Tech University, Vel Nagar, Avadi, Chennai 600 062, India
Department of Computer Engineering, University of Sharjah, Sharjah 26666, UAE
School of Physics and Opotoelectric Engineering, Xiangtan University, Xiangtan 411105, China
Department of Mathematics, Universitas Padjadjaran, Jatinangor, Kabupaten Sumedang 45363, Indonesia
Department of Statistics, Universitas Padjadjaran, Jatinangor, Kabupaten Sumedang 45363, Indonesia
Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Gong Badak, Kuala Terengganu 21300, Malaysia
Funding
Ministry of Research and Higher Education, Republik of Indonesia
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