THE IMPACT OF GLOBAL DYNAMICS ON THE FRACTALS OF A QUADROTOR UNMANNED AERIAL VEHICLE (QUAV) CHAOTIC SYSTEM

Muhammad Marwan (), Maoan Han (), Yanfei Dai and Meilan Cai ()
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Muhammad Marwan: School of Mathematics and Statistics, Linyi University, Linyi, Shandong 276005, P. R. China
Maoan Han: ��School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China
Yanfei Dai: ��School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China
Meilan Cai: School of Mathematics and Statistics, Linyi University, Linyi, Shandong 276005, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 02, 1-19

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.

Keywords: Fractals; Advanced Julia Functions; Basin of Attraction; Chaotic Systems (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24500439

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