Dynamical analysis and passive control of a new 4D chaotic system with multiple attractors

Wang, Long; Mei, Ding

doi:10.1142/s0217984918502603

Cited by 10 publications

(2 citation statements)

References 22 publications

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“…Consequently, there is a positive correlation between the C 0 complexity measure and Lyapunov exponents, which can be used to reflect the dynamic characteristics and complexity of the system. Moreover, we compare the recently proposed system with system (1) and a C 0 -complexity comparison of different systems reveals that the system in this paper has a higher complexity [25][26][27].…”

Section: Complexity Analysismentioning

confidence: 99%

Dynamics, periodic orbits of a novel four-dimensional hyperchaotic system with hidden attractors

Wei,

Dong

2024

Phys. Scr.

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In recent years, the investigation of systems featuring hidden attractors and coexisting attractors has garnered significant attention. This paper presents a novel four-dimensional (4D) hyperchaotic system devoid of equilibrium points, achieved by formulating an equation without a solution or constructing a system without fixed points. Due to the complex shape of this attractor, a novel coding method is utilized to establish symbol dynamics using eight letters. The proposed system exhibits highly intricate dynamics, including variations in topological structure with alterations in system parameters, as well as an exploration and discussion of four types of coexisting attractors. Our extensive practice has led us to propose a new conjecture: hyperchaotic systems with parameters close to the bifurcation point frequently display multistable states. Furthermore, the unstable periodic orbits with different topological lengths in the hidden hyperchaotic attractor are calculated systematically using the variational method. Additionally, the DSP circuit implementation is employed to validate the numerical simulation results for this new 4D system. Finally, adaptive synchronization is successfully realized within the system, thereby confirming its feasibility.

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Section: Complexity Analysismentioning

confidence: 99%

Dynamics, periodic orbits of a novel four-dimensional hyperchaotic system with hidden attractors

Wei,

Dong

2024

Phys. Scr.

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“…Recently, a new 4D chaotic system based on Sprott B system was proposed by Long and Mei [43]. The dynamical equation of new 4D chaotic system is…”

Section: Mathematical Model Of the Novel Complex Chaotic Systemmentioning

confidence: 99%

Dynamical Analysis of a Novel Complex Chaotic System and Application in Image Diffusion

et al. 2019

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In this paper, a novel complex chaotic system is constructed. The characteristics of new complex chaotic system are analyzed by symmetric, dissipative and stability, then dynamical performances studied using bifurcation diagram, Lyapunov exponent spectrum and complexity. On the basis of this, an image diffusion algorithm is proposed based on the model of law of gravity. Security performances of the proposed algorithm are researched through the key space, statistics, information entropy, noise attack. The experimental results illustrates that the novel complex chaotic system has abundant dynamical behaviors and large parameters range, the security analysis shows that the proposed image encryption algorithm possess higher security features. Therefore, the research will provide theoretical guidance and experimental basis for chaotic secure communication and information security. INDEX TERMS Novel complex chaotic system, image diffusion, model of law of gravity.

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A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits

Zhang

Huang

2022

Nonlinear Dyn

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Dynamical analysis and passive control of a new 4D chaotic system with multiple attractors

Cited by 10 publications

References 22 publications

Dynamics, periodic orbits of a novel four-dimensional hyperchaotic system with hidden attractors

Dynamics, periodic orbits of a novel four-dimensional hyperchaotic system with hidden attractors

Dynamical Analysis of a Novel Complex Chaotic System and Application in Image Diffusion

A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits

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