IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v490y2018icp366-377.html
   My bibliography  Save this article

Multicavity formations and complexity modulation in a hyperchaotic discrete system

Author

Listed:
  • He, Shaobo
  • Banerjee, Santo

Abstract

This paper introduces a novel and unified approach for controlling the directions and number of cavities of a two dimensional Sine ICMIC modulation map (2D-SIMM). Two controllers are added to the system for arranging the cavity fluctuations and translating the cavities respectively. Both the controllers can effectively redesign the dynamics of reproducing cavities in different directions with grid representations. The dynamics of the proposed controlled model are investigated with bifurcation, Lyapunov and FuzzyEn algorithms under various cavity formations in different directions. A relationship is established for the complexity of the phase space with the directional control and various arrangements of the sinusoidal cavities. The proposed model is overall hyperchaotic with the high complexity in the whole parameter plane. The proposed scheme is effective for a dynamical model to reproduce the self phase structure in various arrangements for the optimization and modulation of complexity.

Suggested Citation

  • He, Shaobo & Banerjee, Santo, 2018. "Multicavity formations and complexity modulation in a hyperchaotic discrete system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 366-377.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:366-377
    DOI: 10.1016/j.physa.2017.08.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117307240
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2017.08.007?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. He, Shaobo & Sun, Kehui & Wang, Huihai, 2016. "Multivariate permutation entropy and its application for complexity analysis of chaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 812-823.
    2. Shang, Du & Xu, Mengjia & Shang, Pengjian, 2017. "Generalized sample entropy analysis for traffic signals based on similarity measure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 1-7.
    3. Ahmad, Wajdi M., 2005. "Generation and control of multi-scroll chaotic attractors in fractional order systems," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 727-735.
    4. Restrepo, Juan F. & Schlotthauer, Gastón & Torres, María E., 2014. "Maximum approximate entropy and r threshold: A new approach for regularity changes detection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 97-109.
    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. Palit, Sanjay K. & Mukherjee, Sayan, 2021. "A study on dynamics and multiscale complexity of a neuro system," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. Yan, Bo & Palit, Sanjay K. & Mukherjee, Sayan & Banerjee, Santo, 2019. "Signature of complexity in time–frequency domain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    3. Wu, Chenyang & Sun, Kehui, 2022. "Generation of multicavity maps with different behaviours and its DSP implementation," Chaos, Solitons & Fractals, Elsevier, vol. 159(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. Ge, Zheng-Ming & Yi, Chang-Xian, 2007. "Chaos in a nonlinear damped Mathieu system, in a nano resonator system and in its fractional order systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 42-61.
    2. Chen, Zengqiang & Yang, Yong & Yuan, Zhuzhi, 2008. "A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1187-1196.
    3. Wang, Lingyu & Sun, Kehui & Peng, Yuexi & He, Shaobo, 2020. "Chaos and complexity in a fractional-order higher-dimensional multicavity chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    4. Ahmad, Wajdi M., 2006. "A simple multi-scroll hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1213-1219.
    5. Zhang, Chaoxia & Yu, Simin, 2011. "Generation of multi-wing chaotic attractor in fractional order system," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 845-850.
    6. Aguirre-Hernández, B. & Campos-Cantón, E. & López-Renteria, J.A. & Díaz González, E.C., 2015. "A polynomial approach for generating a monoparametric family of chaotic attractors via switched linear systems," Chaos, Solitons & Fractals, Elsevier, vol. 71(C), pages 100-106.
    7. Yu, Simin & Tang, Wallace K.S., 2009. "Tetrapterous butterfly attractors in modified Lorenz systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1740-1749.
    8. Chen, Liping & Pan, Wei & Wang, Kunpeng & Wu, Ranchao & Machado, J. A. Tenreiro & Lopes, António M., 2017. "Generation of a family of fractional order hyper-chaotic multi-scroll attractors," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 244-255.
    9. Zhou, Shangbo & Li, Hua & Zhu, Zhengzhou, 2008. "Chaos control and synchronization in a fractional neuron network system," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 973-984.
    10. Peng, Yuexi & Sun, Kehui & Peng, Dong & Ai, Wei, 2019. "Dynamics of a higher dimensional fractional-order chaotic map," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 96-107.
    11. Chen, Liping & Pan, Wei & Wu, Ranchao & Wang, Kunpeng & He, Yigang, 2016. "Generation and circuit implementation of fractional-order multi-scroll attractors," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 22-31.
    12. Yalçin, Müştak E., 2007. "Multi-scroll and hypercube attractors from a general jerk circuit using Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1659-1666.
    13. Zambrano-Serrano, Ernesto & Bekiros, Stelios & Platas-Garza, Miguel A. & Posadas-Castillo, Cornelio & Agarwal, Praveen & Jahanshahi, Hadi & Aly, Ayman A., 2021. "On chaos and projective synchronization of a fractional difference map with no equilibria using a fuzzy-based state feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    14. David Cuesta-Frau & Daniel Novák & Vacláv Burda & Daniel Abasolo & Tricia Adjei & Manuel Varela & Borja Vargas & Milos Mraz & Petra Kavalkova & Marek Benes & Martin Haluzik, 2019. "Influence of Duodenal–Jejunal Implantation on Glucose Dynamics: A Pilot Study Using Different Nonlinear Methods," Complexity, Hindawi, vol. 2019, pages 1-10, February.
    15. Wan, Li & Ling, Guang & Guan, Zhi-Hong & Fan, Qingju & Tong, Yu-Han, 2022. "Fractional multiscale phase permutation entropy for quantifying the complexity of nonlinear time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    16. Das, Saptarshi & Pan, Indranil & Das, Shantanu, 2016. "Effect of random parameter switching on commensurate fractional order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 157-173.
    17. Delgado-Bonal, Alfonso & López, Álvaro García, 2021. "Quantifying the randomness of the forex market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
    18. Juan Bolea & Raquel Bailón & Esther Pueyo, 2018. "On the Standardization of Approximate Entropy: Multidimensional Approximate Entropy Index Evaluated on Short-Term HRV Time Series," Complexity, Hindawi, vol. 2018, pages 1-15, November.
    19. Tamara Skoric & Olivera Sarenac & Branislav Milovanovic & Nina Japundzic-Zigon & Dragana Bajic, 2017. "On Consistency of Cross-Approximate Entropy in Cardiovascular and Artificial Environments," Complexity, Hindawi, vol. 2017, pages 1-15, September.
    20. Zhang, Hui & Xu, Jie & Jia, Limin & Shi, Yihan, 2021. "Research on walking efficiency of passengers around corner of subway station," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(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:phsmap:v:490:y:2018:i:c:p:366-377. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.