Analysis of a new three-dimensional jerk chaotic system with transient chaos and its adaptive backstepping synchronous control

Yan, Shaohui; Wang, Jianjian; Li, Lin

doi:10.1016/j.vlsi.2024.102210

Integration

2024

DOI: 10.1016/j.vlsi.2024.102210

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Analysis of a new three-dimensional jerk chaotic system with transient chaos and its adaptive backstepping synchronous control

Shaohui Yan,

Jianjian Wang,

Lin Li

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Cited by 5 publications

References 75 publications

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Resonance and chaos analysis of fractional-order nonlinear systems with Rayleigh–Duffing terms

Ren,

Xie,

Yang

et al. 2024

Nonlinear Dyn

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Resonance and chaos analysis of fractional-order nonlinear systems with Rayleigh–Duffing terms

Ren,

Xie,

Yang

et al. 2024

Nonlinear Dyn

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Adaptive chaos control: A novel continuous-time approach for enhanced stability

Shafiq,

Ahmad

2025

IFAC Journal of Systems and Control

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A novel 4D chaotic system coupling with dual-memristors and application in image encryption

Wang,

Sang,

Wang

et al. 2024

Sci Rep

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A novel 4D dual-memristor chaotic system (4D-DMCS) is constructed by concurrently introducing two types of memristors: an ideal quadratic smooth memristor and a memristor with an absolute term, into a newly designed jerk chaotic system. The excellent nonlinear properties of the system are investigated by analyzing the Lyapunov exponent spectrum, and bifurcation diagram. The 4D-DMCS retains some characteristics of the original jerk chaotic system, such as the offset boosting in the x-axis direction. Simultaneously, the integration of the two memristors significantly enriches the dynamic behavior of the system, notably augmenting its transitional behaviors, fostering greater multistability, and elevating both spectral entropy and C 0 complexity. This augmentation underscores the profound impact of the memristors on the system's overall performance and complexity. The system is implemented through the STM32 microcontroller, further proving the physical realizability of the system. Ultimately, the 4D-DMCS exhibits remarkable performance when applied to image encryption, demonstrating its significant potential and effectiveness in this domain.

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Analysis of a new three-dimensional jerk chaotic system with transient chaos and its adaptive backstepping synchronous control

Cited by 5 publications

References 75 publications

Resonance and chaos analysis of fractional-order nonlinear systems with Rayleigh–Duffing terms

Resonance and chaos analysis of fractional-order nonlinear systems with Rayleigh–Duffing terms

Adaptive chaos control: A novel continuous-time approach for enhanced stability

A novel 4D chaotic system coupling with dual-memristors and application in image encryption

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