Generation of Multidirectional Mirror Symmetric Multiscroll Chaotic Attractors (MSMCA) in Double Wing Satellite Chaotic System

Azam, Anam; Aqeel, Muhammad; Sunny, Danish Ali

doi:10.1016/j.chaos.2021.111715

Cited by 14 publications

(6 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There exist many techniques in literature for the creation of fractals in dynamical systems [3,11,22,23,39,40,44,[51][52][53], in which Julia [2] is one of the important techniques. This method is applied to system (1) to produce a chaotic system based on four and six wings.…”

Section: Four and Six Wings Fractals In System (1)mentioning

confidence: 99%

See 1 more Smart Citation

Chaotic Behavior of Lorenz-Based Chemical System under the Influence of Fractals

Marwan,

Xiong,

Han

et al. 2023

match

View full text Add to dashboard Cite

This research examines a chaotic chemical reaction system based on the variation of the Lorenz system. This study demonstrates that although the first phase portraits of the chemical models under consideration and the Lorenz models are comparable, they do not fully follow all the features of the Lorenz system. Questions about the existence of fractals in systems based on chemical reactions are addressed in the current work. Moreover, we have worked on the hidden information inside in each wings of a chaotic system generated through fractal process, for the first time, with the aid of basin for fractals. Additionally, we looked closely at the dynamics of the model across the basin, which revealed additional details regarding the existence of hidden and cyclic attractors inside each wing. We also produced multi-wings for system (1) in the current study, demonstrating in a general manner that the number of cyclic attractors increase in a direct relation to the number of wings. Moreover, Julia approach is used to accomplish the work of multi-wings, whereas for searching cyclic attractors inside each extra wing, we have used fifteen million initial conditions and compiled them as a basin set. The data generated in this work is also provided within this paper for the ease of readers.

show abstract

Section: Four and Six Wings Fractals In System (1)mentioning

confidence: 99%

“…jerk circuits [52] and much more [11,22,23,39,40,53]. But recently Azam et al [3] designed an algorithm for the existence of generalized multi-wings in all directions for chaotic system.…”

Section: Introductionmentioning

confidence: 99%

Chaotic Behavior of Lorenz-Based Chemical System under the Influence of Fractals

Marwan,

Xiong,

Han

et al. 2023

match

View full text Add to dashboard Cite

show abstract

“…Zhang et al [3,27] proposed an MSCS and an MWCS by coupling a multipiecewise linear memristor into a Jerk system and a Sprott system, respectively. Moreover, some other approaches like symmetry conversion [28], fractal transformation [29], and neural networks [30,31] have also been reported.…”

Section: Introductionmentioning

confidence: 99%

A Universal Variable Extension Method for Designing Multiscroll/Wing Chaotic Systems

Lin

Wang

Sun

2024

IEEE Trans. Ind. Electron.

View full text Add to dashboard Cite

Developing a universal design method to construct different multi-scroll/wing chaotic systems (MS/WCSs) has been challenging. This paper proposes a general design method for MS/WCSs called the universal variable extension method (UVEM). It is a simple but effective approach that generates 1-direction (1-D) and 2-D multi-scroll/wing chaotic attractors. Using any doublescroll/wing chaotic system as the basic system, the UVEM is able to construct different MS/WCSs. Employing Chua's chaotic system and Lorenz chaotic system as two examples, we construct two MSCSs (including 1-D and 2-D) and two MWCSs (including 1-D and 2-D), respectively. Theoretical analysis and numerical simulation show that the constructed MS/WCSs not only can generate 1-D and 2-D multi-scroll/wing chaotic attractors but also have 1-D and 2-D initial boosting behaviors. This means that the MS/WCSs designed by the UVEM are very sensitive to their initial states, and have better unpredictability and more complex chaotic behaviors. To show the simplicity of UVEM in hardware implementation, we develop a fieldprogrammable gate array (FPGA)-based digital hardware platform to implement the designed MS/WCSs. Finally, a new pseudo-random number generator is proposed to investigate the application of the MS/WCSs. All P-values obtained by the NIST SP800-22 test are larger than 0.01, which indicates that the MS/WCSs designed by UVEM have high randomness.

show abstract

“…For the chaotic system which has equilibrium, the system can generate different tpyes attractors. By introducing the absolute value function, some chaotic systems can generate the symmetric attractor on the phase plane [17,18]. Because the equilibrium points moves periodically, the system can produce multi-scroll chaotic attactors [19].…”

Section: Introductionmentioning

confidence: 99%

Generating rotationally hidden attractive sea via a new chaotic system with two mixed memristors

Zhou,

2023

Phys. Scr.

View full text Add to dashboard Cite

In this work, a novel 3D memristive chaotic system which has an exponential function is proposed. Especially, the sum of Lyapunov exponents in the proposed system is 0. It indicates that the system can generate attractive sea not attractor. In comparison with some other 3D chaotic systems, this type of chaotic system is relatively rare. In particular, the proposed system has non-equilibrium point, and it can produce hidden sea. Furthermore, the perpetual point of the proposed system is caculated. It is considered to be potentially related to the generation of hidden dynamics. By using the dynamic analysis tool such as 0-1 test and 2D dynamical map, the dynamic behaviors with different control parameters are analyzed. And then, based on the proposed 3D chaotic system, two new system models are reconstructed. The new model can produce the rotational hidden attractive sea with different angles. DSP implementation shows the feasibility of the system for industrial applications.

show abstract

Generation of Multidirectional Mirror Symmetric Multiscroll Chaotic Attractors (MSMCA) in Double Wing Satellite Chaotic System

Cited by 14 publications

References 33 publications

Chaotic Behavior of Lorenz-Based Chemical System under the Influence of Fractals

Chaotic Behavior of Lorenz-Based Chemical System under the Influence of Fractals

A Universal Variable Extension Method for Designing Multiscroll/Wing Chaotic Systems

Generating rotationally hidden attractive sea via a new chaotic system with two mixed memristors

Contact Info

Product

Resources

About