IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v112y2018icp135-140.html
   My bibliography  Save this article

Twin birds inside and outside the cage

Author

Listed:
  • Jafari, Sajad
  • Dehghan, Soroush
  • Chen, Guanrong
  • Kingni, Sifeu Takougang
  • Rajagopal, Karthikeyan

Abstract

This paper introduces a chaotic system in the spherical coordinates which, when expressed in the Cartesian coordinate system, has a chaotic attractor located in an impassable sphere like a bird in the cage. It also has a coexisting attractor outside that sphere. Basic dynamical properties of this system are investigated and its FPGA realization is demonstrated.

Suggested Citation

  • Jafari, Sajad & Dehghan, Soroush & Chen, Guanrong & Kingni, Sifeu Takougang & Rajagopal, Karthikeyan, 2018. "Twin birds inside and outside the cage," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 135-140.
    • Handle: RePEc:eee:chsofr:v:112:y:2018:i:c:p:135-140
    DOI: 10.1016/j.chaos.2018.05.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007791830239X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.05.002?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. Singh, Jay Prakash & Roy, Binoy Krishna & Jafari, Sajad, 2018. "New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 243-257.
    2. Bao, B.C. & Bao, H. & Wang, N. & Chen, M. & Xu, Q., 2017. "Hidden extreme multistability in memristive hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 102-111.
    3. García-Martínez, M. & Ontañón-García, L.J. & Campos-Cantón, E. & Čelikovský, S., 2015. "Hyperchaotic encryption based on multi-scroll piecewise linear systems," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 413-424.
    4. Jafari, Sajad & Sprott, J.C., 2013. "Simple chaotic flows with a line equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 79-84.
    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. Messias, Marcelo & Cândido, Murilo R., 2024. "Analytical results on the existence of periodic orbits and canard-type invariant torus in a simple dissipative oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Joshi, Manoj & Ranjan, Ashish, 2020. "Investigation of dynamical properties in hysteresis-based a simple chaotic waveform generator with two stable equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 134(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. Lai, Qiang & Xu, Guanghui & Pei, Huiqin, 2019. "Analysis and control of multiple attractors in Sprott B system," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 192-200.
    2. Li, Chunbiao & Sprott, Julien Clinton & Zhang, Xin & Chai, Lin & Liu, Zuohua, 2022. "Constructing conditional symmetry in symmetric chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Nazarimehr, Fahimeh & Rajagopal, Karthikeyan & Khalaf, Abdul Jalil M. & Alsaedi, Ahmed & Pham, Viet-Thanh & Hayat, Tasawar, 2018. "Investigation of dynamical properties in a chaotic flow with one unstable equilibrium: Circuit design and entropy analysis," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 7-13.
    4. Othman Abdullah Almatroud & Karthikeyan Rajagopal & Viet-Thanh Pham & Giuseppe Grassi, 2024. "A Novel Chaotic System with Only Quadratic Nonlinearities: Analysis of Dynamical Properties and Stability," Mathematics, MDPI, vol. 12(4), pages 1-10, February.
    5. Gritli, Hassène, 2019. "Poincaré maps design for the stabilization of limit cycles in non-autonomous nonlinear systems via time-piecewise-constant feedback controllers with application to the chaotic Duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 127-145.
    6. Mezatio, Brice Anicet & Motchongom, Marceline Tingue & Wafo Tekam, Blaise Raoul & Kengne, Romanic & Tchitnga, Robert & Fomethe, Anaclet, 2019. "A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 100-115.
    7. Singh, Jay Prakash & Roy, Binoy Krishna & Jafari, Sajad, 2018. "New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 243-257.
    8. Zhang, Sen & Zeng, Yicheng, 2019. "A simple Jerk-like system without equilibrium: Asymmetric coexisting hidden attractors, bursting oscillation and double full Feigenbaum remerging trees," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 25-40.
    9. Liang, Bo & Hu, Chenyang & Tian, Zean & Wang, Qiao & Jian, Canling, 2023. "A 3D chaotic system with multi-transient behavior and its application in image encryption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 616(C).
    10. Wang, Zhen & Abdolmohammadi, Hamid Reza & Alsaadi, Fawaz E. & Hayat, Tasawar & Pham, Viet-Thanh, 2018. "A new oscillator with infinite coexisting asymmetric attractors," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 252-258.
    11. Njitacke, Z.T. & Kengne, J. & Tapche, R. Wafo & Pelap, F.B., 2018. "Uncertain destination dynamics of a novel memristive 4D autonomous system," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 177-185.
    12. Zhang, Xin & Li, Chunbiao & Chen, Yudi & IU, Herbert H.C. & Lei, Tengfei, 2020. "A memristive chaotic oscillator with controllable amplitude and frequency," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    13. Nazarimehr, Fahimeh & Rajagopal, Karthikeyan & Kengne, Jacques & Jafari, Sajad & Pham, Viet-Thanh, 2018. "A new four-dimensional system containing chaotic or hyper-chaotic attractors with no equilibrium, a line of equilibria and unstable equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 108-118.
    14. Signing, V.R. Folifack & Kengne, J. & Pone, J.R. Mboupda, 2019. "Antimonotonicity, chaos, quasi-periodicity and coexistence of hidden attractors in a new simple 4-D chaotic system with hyperbolic cosine nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 187-198.
    15. Dlamini, A. & Doungmo Goufo, E.F., 2023. "Generation of self-similarity in a chaotic system of attractors with many scrolls and their circuit’s implementation," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    16. Hu, Yongbing & Li, Qian & Ding, Dawei & Jiang, Li & Yang, Zongli & Zhang, Hongwei & Zhang, Zhixin, 2021. "Multiple coexisting analysis of a fractional-order coupled memristive system and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    17. Marius-F. Danca, 2020. "Coexisting Hidden and self-excited attractors in an economic system of integer or fractional order," Papers 2008.12108, arXiv.org, revised Sep 2020.
    18. Zhou, Ling & You, Zhenzhen & Tang, Yun, 2021. "A new chaotic system with nested coexisting multiple attractors and riddled basins," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    19. Dong, Chengwei & Yang, Min & Jia, Lian & Li, Zirun, 2024. "Dynamics investigation and chaos-based application of a novel no-equilibrium system with coexisting hidden attractors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    20. Ahmad Taher Azar & Ngo Mouelas Adele & Kammogne Soup Tewa Alain & Romanic Kengne & Fotsin Hilaire Bertrand, 2018. "Multistability Analysis and Function Projective Synchronization in Relay Coupled Oscillators," Complexity, Hindawi, vol. 2018, pages 1-12, January.

    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:112:y:2018:i:c:p:135-140. 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.