Ten-dimensional nine-order chaotic system and its circuit implementation

Zhu, Jiang; Kang, Shouqiang; Gao, Huaqiang; Wang, Yujing

doi:10.1109/icemi.2015.7494365

Cited by 2 publications

(2 citation statements)

References 10 publications

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“…Mahmud et al [29] presented a complex nonlinear hyperchaotic model describing a nine-dimensional chaotic Lorentz system with quaternion variables, exploring new avenues in hyperchaotic dynamics. Jianliang et al [30] proposed a ten-dimensional chaotic system of the ninth order, implementing an electronic circuit for a chaos generator. This expanded the exploration of chaotic systems into higher dimensions.…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis, circuit design, synchronization, and Arduino UNO implementation of a new 7D hyperchaotic system

Kopp

2024

Preprint

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In this paper, we introduce a novel multidimensional 7D hyperchaotic system. We conduct an analysis of this innovative 7D dynamic system, focusing on determining Lyapunov exponents, constructing bifurcation diagrams, and identifying equilibrium points along with their corresponding stability conditions. Through computer modeling of the 7D hyperchaotic system in Matlab-Simulink and Labview, we obtain phase portraits of numerous strange attractors. Subsequently, the electronic circuit for the new 7D chaos generator was developed using Multisim software, showcasing behavior similar to the Matlab-Simulink and LabVIEW models. Furthermore, we study the synchronization problem for two identical 7D hyperchaotic systems, employing a nonlinear active control method. To depict the novel 7D hyperchaotic system, we utilized an Arduino UNO board and incorporated seven light-emitting diodes (LEDs). Additionally, we showcased the ability to replicate the new 7D hyperchaotic system within the Proteus 8 environment by employing the Arduino UNO microcontroller.

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Section: Introductionmentioning

confidence: 99%

Dynamical analysis, circuit design, synchronization, and Arduino UNO implementation of a new 7D hyperchaotic system

Kopp

2024

Preprint

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“…Mahmud et al [26] presented a complex nonlinear hyperchaotic model describing a nine-dimensional chaotic Lorentz system with quaternion variables, exploring new avenues in hyperchaotic dynamics. Jianliang et al [27] proposed a tendimensional chaotic system of the ninth order, implementing an electronic circuit for a chaos generator. This expanded the exploration of chaotic systems into higher dimensions.…”

Section: Introductionmentioning

confidence: 99%

A new 7D memristor-based hyperchaotic system and its application to secret information transmission

Kopp

2024

Preprint

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This work presents a new seven-dimensional (7D) chaotic system based on a fluxcontrolled memristor, which we consider in two versions. The first version of a 7D memristive chaotic system describes self-excited attractors. In the second version, in a 7D memristive chaotic system, hidden attractors can arise by adjusting the values of one constant parameter. A study was conducted on both types of innovative 7D dynamic systems to determine Lyapunov exponents, construct bifurcation diagrams, and identify equilibrium points and the corresponding stability conditions for each system. As a result of computer modeling of 7D hyperchaotic systems in Matlab-Simulink, phase portraits were obtained for self-excited and hidden strange attractors. Finally, electronic circuits for new 7D chaos generators with different types of attractors were built using Multisim software, which showed behavior similar to the Matlab-Simulink models. The synchronization problem for both identical 7D hyperchaotic memristive systems was investigated using the active control method. For practical applications, a method of chaotic encryption and decryption of an information signal was developed and numerically tested.

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Ten-dimensional nine-order chaotic system and its circuit implementation

Cited by 2 publications

References 10 publications

Dynamical analysis, circuit design, synchronization, and Arduino UNO implementation of a new 7D hyperchaotic system

Dynamical analysis, circuit design, synchronization, and Arduino UNO implementation of a new 7D hyperchaotic system

A new 7D memristor-based hyperchaotic system and its application to secret information transmission

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