{"title":"Design and FPGA realization of memristive multibutterfly chaotic system featuring coexisting attractors and complex multistability behavior","authors":"Minxiu Yan, Peng Du","doi":"10.1140/epjp/s13360-024-05722-x","DOIUrl":null,"url":null,"abstract":"<div><p>Multibutterfly memristive chaotic systems (MMCSs) exhibit intricate multistable behavior and heightened randomness, making them highly advantageous for secure communications and image encryption. The paper provides a new five-dimensional chaotic system that incorporates two memristors into a 3D chaotic framework, leading to the creation of multibutterfly chaotic attractors. The quantity of multibutterfly chaotic attractors is capable of being managed by varying the parameters <span>\\(\\mathrm M\\)</span> and <span>\\(\\mathrm N\\)</span>. We conduct an in-depth analysis of the five-dimensional MMCS dynamics through methods like Lyapunov exponents, Poincare maps, phase diagrams, and bifurcation diagrams. We depicted the basin of attraction for exploring the system’s coexisting attractors. Furthermore, the five-dimensional MMCS exhibits the coexisting attractors through variations in the initial values. By tuning parameters <span>\\(k_{1}\\)</span> and <span>\\(k_{2}\\)</span>, the system’s amplitude can be adjusted. To validate the practical applicability of this system, we design a chaotic circuit based on the five-dimensional MMCS. The system is implemented on a Cyclone IV E series platform with the EP4CE15F23C8N FPGA as the primary chip. The FPGA implementation results align numerical simulations, confirming the practical applicability of the multibutterfly memristive chaotic circuit.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":null,"pages":null},"PeriodicalIF":2.8000,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-024-05722-x","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Multibutterfly memristive chaotic systems (MMCSs) exhibit intricate multistable behavior and heightened randomness, making them highly advantageous for secure communications and image encryption. The paper provides a new five-dimensional chaotic system that incorporates two memristors into a 3D chaotic framework, leading to the creation of multibutterfly chaotic attractors. The quantity of multibutterfly chaotic attractors is capable of being managed by varying the parameters \(\mathrm M\) and \(\mathrm N\). We conduct an in-depth analysis of the five-dimensional MMCS dynamics through methods like Lyapunov exponents, Poincare maps, phase diagrams, and bifurcation diagrams. We depicted the basin of attraction for exploring the system’s coexisting attractors. Furthermore, the five-dimensional MMCS exhibits the coexisting attractors through variations in the initial values. By tuning parameters \(k_{1}\) and \(k_{2}\), the system’s amplitude can be adjusted. To validate the practical applicability of this system, we design a chaotic circuit based on the five-dimensional MMCS. The system is implemented on a Cyclone IV E series platform with the EP4CE15F23C8N FPGA as the primary chip. The FPGA implementation results align numerical simulations, confirming the practical applicability of the multibutterfly memristive chaotic circuit.
期刊介绍:
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.