A novel grid multiwing chaotic system with only non-hyperbolic equilibria

Zhang, Sen; Zeng, Yicheng; Li, Zhijun; Wang, Mengjiao; Xiong, Le

doi:10.1007/s12043-018-1556-7

Cited by 14 publications

(2 citation statements)

References 32 publications

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“…) is a conservative chaotic system. Since the real parts of the five eigenvalues are all zero, the equilibrium point of the system (7) is non-hyperbolic, so the classical Shil'nikov theorem is no longer applicable to this system [29]. In addition, non-hyperbolic equilibria are also a feature of bifurcation points, they are structurally unstable.…”

Section: Basic Properties Of the Systemmentioning

confidence: 99%

A new 5D fractional-order conservative hyperchaos system

Tian¹,

Peng²,

Leng³

et al. 2022

Phys. Scr.

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At present, most of the encryption algorithms based on chaotic systems use dissipative chaotic systems. However, the dissipative chaotic systems have attractors and are easy to reconstruct, which leads to potential security risks in the process of data transmission. Therefore, a novel ﬁve-dimensional conservative hyperchaotic system is proposed in this paper, and the integer order system is transformed into a fractional-order system based on the Adomian decomposition method(ADM). The dynamic characteristics of the system are discussed by using classical analysis methods such as Lyapunov exponent spectrum(LEs), bifurcation diagram, phase diagram, and timing diagram. By changing the system parameters and the diﬀerential order q, we found a wealth of dynamic phenomena, such as quasiperiodic ﬂow, chaotic ﬂow, and hyperchaotic ﬂow. When the initial value is used as a variable, it is found that the system has initial oﬀset boosting behavior, multiple stability, and special transient behavior. In addition, we use the spectral entropy algorithm to analyze the complexity of the system. Finally, hardware experiments are also carried out using digital signal processor (DSP) to verify the correctness of the numerical simulation, and also to prove the physical realizability of the system, to create conditions for its subsequent engineering applications.

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Section: Basic Properties Of the Systemmentioning

confidence: 99%

A new 5D fractional-order conservative hyperchaos system

Tian¹,

Peng²,

Leng³

et al. 2022

Phys. Scr.

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“…We describe the dynamical analysis of the new Hamiltonian chaotic system. A study of route to chaos helps to understand the complex properties of chaotic systems ([72]- [74]). The organization structure of this paper is as follows.…”

Section: Introductionmentioning

confidence: 99%

A New Hamiltonian Chaotic System with Coexisting Chaotic Orbits and its Dynamical Analysis

Vaidyanathan

Sambas²,

Zhang

et al. 2018

IJET

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Hamiltonian chaotic systems are conservative chaotic systems which arise in many applications in Classical Mechanics. A famous Hamiltonian chaotic system is the Hénon-Heiles system (1964), which was modeled by Hénon and Heiles, describing the nonlinear motion of a star around a galactic centre with the motion restricted to a plane. In this research work, by modifying the dynamics of the Hénon-Heiles system (1964), we obtain a new Hamiltonian chaotic system with coexisting chaotic orbits. We describe the dynamical properties of the new Hamiltonian chaotic system .

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Generation of grid multi-wing chaotic attractors and its application in video secure communication system

et al. 2020

Multimed Tools Appl

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A novel grid multiwing chaotic system with only non-hyperbolic equilibria

Cited by 14 publications

References 32 publications

A new 5D fractional-order conservative hyperchaos system

A new 5D fractional-order conservative hyperchaos system

A New Hamiltonian Chaotic System with Coexisting Chaotic Orbits and its Dynamical Analysis

Generation of grid multi-wing chaotic attractors and its application in video secure communication system

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