IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v175y2023ip1s0960077923008998.html
   My bibliography  Save this article

A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties

Author

Listed:
  • Dong, Qing
  • Zhou, Shihua
  • Zhang, Qiang
  • Kasabov, Nikola K.

Abstract

Recently, the majority of research in chaos field has focused on dissipative chaos systems, while conservative chaos systems, particularly conservative hyperchaos systems, have been largely overlooked. However, these systems possess more intricate dynamic properties and greater potential for practical applications than general chaos systems. This paper aims to address this gap by introducing two linear terms to the system equation of an existing five-dimensional Hamiltonian conservative hyperchaos system, based on the construction techniques of the existing conservative chaos system. As a result, a five-dimensional non-Hamiltonian conservative hyperchaos system without time-reversal symmetry is obtained, which exhibits complex dynamic properties. Specifically, the system displays multi-stable characteristics with consistent parameters but varying initial conditions. Furthermore, during the study of the system's transient characteristics, a unique phenomenon was observed, namely intermittent chaos and intermittent quasi-periodic characteristics. Finally, the system's sequences were evaluated using the NIST test, and the results indicated their good level of pseudo-randomness.

Suggested Citation

  • Dong, Qing & Zhou, Shihua & Zhang, Qiang & Kasabov, Nikola K., 2023. "A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
  • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008998
    DOI: 10.1016/j.chaos.2023.113998
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923008998
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2023.113998?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Enzeng Dong & Xiaodong Jiao & Shengzhi Du & Zengqiang Chen & Guoyuan Qi, 2020. "Modeling, Synchronization, and FPGA Implementation of Hamiltonian Conservative Hyperchaos," Complexity, Hindawi, vol. 2020, pages 1-13, April.
    2. Pawe{l} O'swik{e}cimka & Stanis{l}aw Dro.zd.z & Mattia Frasca & Robert Gk{e}barowski & Natsue Yoshimura & Luciano Zunino & Ludovico Minati, 2020. "Wavelet-based discrimination of isolated singularities masquerading as multifractals in detrended fluctuation analyses," Papers 2004.03319, arXiv.org.
    3. Zhang, Zefeng & Huang, Lilian & Liu, Jin & Guo, Qiang & Yu, Changdong & Du, Xiuli, 2023. "Construction of a family of 5D Hamiltonian conservative hyperchaotic systems with multistability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 620(C).
    4. Enzeng Dong & Guanghan Liu & Zenghui Wang & Zengqiang Chen, 2020. "Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems," Complexity, Hindawi, vol. 2020, pages 1-15, April.
    5. Leng, Xiangxin & Gu, Shuangquan & Peng, Qiqi & Du, Baoxiang, 2021. "Study on a four-dimensional fractional-order system with dissipative and conservative properties," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    6. Aiguo Wu & Shijian Cang & Ruiye Zhang & Zenghui Wang & Zengqiang Chen, 2018. "Hyperchaos in a Conservative System with Nonhyperbolic Fixed Points," Complexity, Hindawi, vol. 2018, pages 1-8, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yang, Jie & Li, Chunbiao & Zhang, Qian & Zhang, Xin & Wu, Zhihao & Zhong, Haidong & Liu, Peiqiao & Liu, Zuohua & Tao, Changyuan & Huang, Keyu & Li, Jiaxing & Zheng, Guocan, 2024. "A memristive hyperchaotic oscillator with complete control and its application in the electrolysis of manganese," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Leng, Xiangxin & Gu, Shuangquan & Peng, Qiqi & Du, Baoxiang, 2021. "Study on a four-dimensional fractional-order system with dissipative and conservative properties," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. Sarker, Alivia & Mali, Provash, 2021. "Detrended multifractal characterization of Indian rainfall records," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    3. Kristjanpoller, Werner & Minutolo, Marcel C., 2021. "Asymmetric multi-fractal cross-correlations of the price of electricity in the US with crude oil and the natural gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    4. Zhang, Xiaohong & Xu, Jingjing & Moshayedi, Ata Jahangir, 2024. "Design and FPGA implementation of a hyperchaotic conservative circuit with initial offset-boosting and transient transition behavior based on memcapacitor," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    5. Cang, Shijian & Wang, Luo & Zhang, Yapeng & Wang, Zenghui & Chen, Zengqiang, 2022. "Bifurcation and chaos in a smooth 3D dynamical system extended from Nosé-Hoover oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    6. Olivares, Felipe & Zanin, Massimiliano, 2022. "Corrupted bifractal features in finite uncorrelated power-law distributed data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    7. Yang, Xiaodong & Wang, Zhixiao & He, Aijun & Wang, Jun, 2020. "Identification of healthy and pathological heartbeat dynamics based on ECG-waveform using multifractal spectrum," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    8. Li, Hang & Shen, Yongjun & Han, Yanjun & Dong, Jinlu & Li, Jian, 2023. "Determining Lyapunov exponents of fractional-order systems: A general method based on memory principle," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    9. Li, Songsong & Xu, Nan & Hui, Xiaofeng, 2020. "International investors and the multifractality property: Evidence from accessible and inaccessible market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    10. Zhang, Zefeng & Huang, Lilian & Liu, Jin & Guo, Qiang & Du, Xiuli, 2022. "A new method of constructing cyclic symmetric conservative chaotic systems and improved offset boosting control," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    11. Kelty-Stephen, Damian G. & Mangalam, Madhur, 2024. "Additivity suppresses multifractal nonlinearity due to multiplicative cascade dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    12. Li Wang & Xing-Lu Gao & Wei-Xing Zhou, 2023. "Testing For Intrinsic Multifractality In The Global Grain Spot Market Indices: A Multifractal Detrended Fluctuation Analysis," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(07), pages 1-24.
    13. Kristjanpoller, Werner & Nekhili, Ramzi & Bouri, Elie, 2024. "Blockchain ETFs and the cryptocurrency and Nasdaq markets: Multifractal and asymmetric cross-correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    14. Shen, Na & Chen, Jiayi, 2023. "Asymmetric multifractal spectrum distribution based on detrending moving average cross-correlation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    15. Leng, Xiangxin & Wang, Xiaoping & Zeng, Zhigang, 2024. "Memristive Hopfield neural network with multiple controllable nonlinear offset behaviors and its medical encryption application," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    16. Morales Martínez, Jorge Luis & Segovia-Domínguez, Ignacio & Rodríguez, Israel Quiros & Horta-Rangel, Francisco Antonio & Sosa-Gómez, Guillermo, 2021. "A modified Multifractal Detrended Fluctuation Analysis (MFDFA) approach for multifractal analysis of precipitation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    17. Xie, Jiaquan & Zhao, Fuqiang & He, Dongping & Shi, Wei, 2022. "Bifurcation and resonance of fractional cubic nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008998. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.