Investigation of Early Warning Indexes in a Three-Dimensional Chaotic System with Zero Eigenvalues

Chen, Lianyu; Nazarimehr, Fahimeh; Jafari, Sajad; Tlelo‐Cuautle, Esteban; Hussain, Iqtadar

doi:10.3390/e22030341

Cited by 6 publications

(5 citation statements)

References 33 publications

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“…Type of nonlinearities Nature/number of equilibrium points Kamdem Kuate et al [7] Absolute value and signum Double zero eigenvalues/2 Cai et al [8] Quadratic and absolute value One pair of pure-imaginary eigenvalues/Infinite Chen et al [9] Quadratic Triple zero eigenvalues/1 Li and Xiong [10] Quadratic and exponential One pair of pure-imaginary eigenvalues/2 is work Sine and cubic Double and triple zero eigenvalues/Infinite been investigated in detail. At first, to reveal the dynamic behaviors of system (1), we consider the parameter…”

Section: Reference Of Papersmentioning

confidence: 99%

“…Also, a grid multiwing chaotic system with nonhyperbolic equilibria is investigated in Zhang et al [3]. In Chen et al [9], a 3D chaotic system with only one equilibrium point at the origin is proposed that has three zero eigenvalues. e reported non-Shilnikov chaotic systems with various nature of equilibrium points and several types of nonlinearities are given in Table 1.…”

Section: Introductionmentioning

confidence: 99%

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A New Chaotic System with Only Nonhyperbolic Equilibrium Points: Dynamics and Its Engineering Application

Zolfaghari-Nejad

Charmi

Hassanpoor³

2022

Complexity

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In this work, we introduce a new non-Shilnikov chaotic system with an infinite number of nonhyperbolic equilibrium points. The proposed system does not have any linear term, and it is worth noting that the new system has one equilibrium point with triple zero eigenvalues at the origin. Also, the novel system has an infinite number of equilibrium points with double zero eigenvalues that are located on the z -axis. Numerical analysis of the system reveals many strong dynamics. The new system exhibits multistability and antimonotonicity. Multistability implies the coexistence of many periodic, limit cycle, and chaotic attractors under different initial values. Also, bifurcation analysis of the system shows interesting phenomena such as periodic window, period-doubling route to chaos, and inverse period-doubling bifurcations. Moreover, the complexity of the system is analyzed by computing spectral entropy. The spectral entropy distribution under different initial values is very scattered and shows that the new system has numerous multiple attractors. Finally, chaos-based encoding/decoding algorithms for secure data transmission are developed by designing a state chain diagram, which indicates the applicability of the new chaotic system.

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Section: Reference Of Papersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A New Chaotic System with Only Nonhyperbolic Equilibrium Points: Dynamics and Its Engineering Application

Zolfaghari-Nejad

Charmi

Hassanpoor³

2022

Complexity

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“…After calculation and analysis, when g = 20, h = 8, c = 32, d = 3, and e = 5:7, the three Lyapunov exponents of the Compared with the chaotic system proposed in literature [21], it is obvious that the three Lyapunov exponents of the improved chaotic system are much larger than the Lyapunov exponent of the chaotic system in literature [21]. Therefore, the dynamic characteristics of the improved chaotic system are more complex than literature [21] and are more suitable for the research of big data encryption than literature [21].…”

Section: Improved Hyperchaotic System 2 a Three-dimensionalmentioning

confidence: 99%

“…The system will produce hyperchaotic attractors when g = 20, h = 8, c = 32, d = 3, and e = 5:7. It has more advantages in system structure and computing resource consumption than the chaotic system in literature [21].…”

Section: Improved Hyperchaotic System 2 a Three-dimensionalmentioning

confidence: 99%

Research on Enterprise Financial Accounting Information Security Model Based on Big Data

Zhong¹,

Zhang

Zhao

2022

Wireless Communications and Mobile Computing

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Powered by the rapid development of the information age, big data technology has had a great impact on China’s socialist economic development. Big data technology is integrated into all fields of nowadays society, especially in the accounting industry of enterprises. Accounting computerization quickly replaces the traditional manual bookkeeping, realizes the timeliness and accuracy of accounting information data processing, and improves the work efficiency and quality of accounting staff to a great extent, but at the same time, the security of financial accounting information is also very prominent. To tackle this problem, this paper proposes a hybrid encryption algorithm based on double chaotic system and improved AES encryption algorithm. The improved AES algorithm uses affine transformation pairs (A7 and 6F) to generate new S-boxes. The double four-dimensional hyperchaotic system is transformed from two three-dimensional chaotic systems, and then, the transformed hyperchaotic system is used to generate chaotic sequences, and a block encryption scheme is designed. On Hadoop big data platform, double hyperchaotic encryption scheme and improved AES algorithm are combined. Simulation test results show that this method can safely transmit enterprise financial accounting information data packets. With the increase of computing cluster nodes, its encryption transmission efficiency continues to improve. This scheme not only solves the problem of enterprise financial accounting data security encryption but also realizes the parallel transmission of encrypted data in the information age, forming a double guarantee of data transmission security and efficiency.

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“…In the paper “Investigation of Early Warning Indexes in a Three-Dimensional Chaotic System with Zero Eigenvalues”, Lianyu Chen, Fahimeh Nazarimehr, Sajad Jafari, Esteban Tlelo-Cuautle, and Iqtadar Hussain reported a rare three-dimensional chaotic system with all eigenvalues equal to zero. The authors observed that from the evaluation of the entropy (Shannon and Kolmogorov–Sinai entropy), bifurcation points can be predicted by identifying early warning signals [ 14 ].…”

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confidence: 99%

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors II

Volos

Jafari

Muñoz‐Pacheco

et al. 2020

Entropy

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Investigation of Early Warning Indexes in a Three-Dimensional Chaotic System with Zero Eigenvalues

Cited by 6 publications

References 33 publications

A New Chaotic System with Only Nonhyperbolic Equilibrium Points: Dynamics and Its Engineering Application

A New Chaotic System with Only Nonhyperbolic Equilibrium Points: Dynamics and Its Engineering Application

Research on Enterprise Financial Accounting Information Security Model Based on Big Data

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors II

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