MUHAMMAD MARWAN, MAOAN HAN, YANFEI DAI, MEILAN CAI
{"title":"THE IMPACT OF GLOBAL DYNAMICS ON THE FRACTALS OF A QUADROTOR UNMANNED AERIAL VEHICLE (QUAV) CHAOTIC SYSTEM","authors":"MUHAMMAD MARWAN, MAOAN HAN, YANFEI DAI, MEILAN CAI","doi":"10.1142/s0218348x24500439","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we have extended the concept of advanced Julia function for the discovery of new type of trajectories existing inside outer and inner wings. A dynamical system based on four rotors, referred to as quadrotor unmanned aerial vehicle (QUAV), is considered for the first time to seek the generation of extra wings using fractal theory. Moreover, we have used Julia and advanced Julia function techniques for the creation of outer and inner wings, respectively. Furthermore, the trajectories achieved using both techniques are analyzed and compared with the aid of basin of attraction and bifurcation diagram. This work covers a gap in the literature, that what is the impact of global dynamics on the hidden fractals. Therefore to fill this gap, sets of initial points are plotted from each basin constructed for fractals-based QUAV systems. Finally, numerical simulations are carried out using MATLAB, whereas the data generated for the corresponding basins are attached for the convenience of readers to reproduce each figure.</p>","PeriodicalId":501262,"journal":{"name":"Fractals","volume":"65 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fractals","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0218348x24500439","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we have extended the concept of advanced Julia function for the discovery of new type of trajectories existing inside outer and inner wings. A dynamical system based on four rotors, referred to as quadrotor unmanned aerial vehicle (QUAV), is considered for the first time to seek the generation of extra wings using fractal theory. Moreover, we have used Julia and advanced Julia function techniques for the creation of outer and inner wings, respectively. Furthermore, the trajectories achieved using both techniques are analyzed and compared with the aid of basin of attraction and bifurcation diagram. This work covers a gap in the literature, that what is the impact of global dynamics on the hidden fractals. Therefore to fill this gap, sets of initial points are plotted from each basin constructed for fractals-based QUAV systems. Finally, numerical simulations are carried out using MATLAB, whereas the data generated for the corresponding basins are attached for the convenience of readers to reproduce each figure.
在本文中，我们扩展了高级朱莉娅函数的概念，用于发现存在于外翼和内翼内部的新型轨迹。本文首次考虑了基于四个旋翼的动力系统，即四旋翼无人飞行器（QUAV），并利用分形理论寻求外翼的生成。此外，我们还分别使用了 Julia 函数和高级 Julia 函数技术来创建外翼和内翼。此外，我们还借助吸引力盆地和分岔图分析和比较了使用这两种技术生成的轨迹。这项工作填补了文献空白，即全局动力学对隐藏分形的影响。因此，为了填补这一空白，我们绘制了基于分形的 QUAV 系统每个盆地的初始点集。最后，使用 MATLAB 进行了数值模拟，并附上了相应盆地生成的数据，以方便读者复制每张图。
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