IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v119y2019icp86-93.html
   My bibliography  Save this article

Multiple spatial limit sets and chaos analysis in MIMO cascade nonlinear systems

Author

Listed:
  • Zlatkovic, Bojana M.
  • Samardzic, Biljana

Abstract

The appearance of multiple spatial limit sets and chaos in MIMO cascade nonlinear systems is analyzed in this paper. The necessary and sufficient conditions for the existence of stable multiple spatial limit sets and the rules for the existence of chaos are given, too. The validity of these conditions is confirmed with bifurcation diagrams and spatial phase portraits of MIMO2 and MIMO4 cascade nonlinear systems.

Suggested Citation

  • Zlatkovic, Bojana M. & Samardzic, Biljana, 2019. "Multiple spatial limit sets and chaos analysis in MIMO cascade nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 86-93.
    • Handle: RePEc:eee:chsofr:v:119:y:2019:i:c:p:86-93
    DOI: 10.1016/j.chaos.2018.12.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918306118
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.12.014?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. Wang, Jun & Shi, Kaibo & Huang, Qinzhen & Zhong, Shouming & Zhang, Dian, 2018. "Stochastic switched sampled-data control for synchronization of delayed chaotic neural networks with packet dropout," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 211-230.
    2. Samardzic, B. & Zlatkovic, B.M., 2017. "Analysis of spatial chaos appearance in cascade connected nonlinear electrical circuits," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 14-20.
    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. Li, Yue & Yuan, Mingfeng & Chen, Zengqiang, 2022. "Multi-parameter analysis of transition from conservative to dissipative behaviors for a reversible dynamic system," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Du, Chuanhong & Liu, Licai & Zhang, Zhengping & Yu, Shixing, 2022. "A mem-element Wien-Bridge circuit with amplitude modulation and three kinds of offset boosting," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

    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. Zhao, Kaihong, 2023. "Local exponential stability of several almost periodic positive solutions for a classical controlled GA-predation ecosystem possessed distributed delays," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    2. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Observer-based output feedback distributed event-triggered control for linear multi-agent systems under general directed graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    3. Cai, Xiao & Zhong, Shouming & Wang, Jun & Shi, Kaibo, 2020. "Robust H∞ control for uncertain delayed T-S fuzzy systems with stochastic packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    4. Katiyar, S.K. & Chand, A. K. B & Saravana Kumar, G., 2019. "A new class of rational cubic spline fractal interpolation function and its constrained aspects," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 319-335.
    5. Zhang, Zhiming & Zheng, Wei & Lam, H.K. & Wen, Shuhuan & Sun, Fuchun & Xie, Ping, 2020. "Stability analysis and output feedback control for stochastic networked systems with multiple communication delays and nonlinearities using fuzzy control technique," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    6. Shi, Kaibo & Wang, Jun & Zhong, Shouming & Zhang, Xiaojun & Liu, Yajuan & Cheng, Jun, 2019. "New reliable nonuniform sampling control for uncertain chaotic neural networks under Markov switching topologies," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 169-193.
    7. Zeng, Deqiang & Pu, Zhilin & Zhang, Ruimei & Zhong, Shouming & Liu, Yajuan & Wu, Guo-Cheng, 2019. "Stochastic reliable synchronization for coupled Markovian reaction–diffusion neural networks with actuator failures and generalized switching policies," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 88-106.
    8. Liu, Yan & Wang, Junpu, 2021. "Synchronization of coupled systems via intermittent event-triggered control: Quaternion case," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    9. Gao, Zifan & Zhang, Dawei & Zhu, Shuqian, 2023. "Hybrid event-triggered synchronization control of delayed chaotic neural networks against communication delay and random data loss," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    10. M. Hymavathi & Tarek F. Ibrahim & M. Syed Ali & Gani Stamov & Ivanka Stamova & B. A. Younis & Khalid I. Osman, 2022. "Synchronization of Fractional-Order Neural Networks with Time Delays and Reaction-Diffusion Terms via Pinning Control," Mathematics, MDPI, vol. 10(20), pages 1-18, October.
    11. Bazine, Hasnaa & Mabrouki, Mustapha, 2019. "Chaotic dynamics applied in time prediction of photovoltaic production," Renewable Energy, Elsevier, vol. 136(C), pages 1255-1265.
    12. He, Zhilong & Li, Chuandong & Li, Yi & Cao, Zhengran & Zhang, Xiaoyu, 2021. "Local synchronization of nonlinear dynamical networks with hybrid impulsive saturation control inputs," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    13. Zhang, Chunmei & Yang, Yinghui, 2020. "Synchronization of stochastic multi-weighted complex networks with Lévy noise based on graph theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    14. Cai, Xiao & Zhong, Shouming & Wang, Jun & Shi, Kaibo, 2020. "New stability results for delayed neural networks with data packet dropouts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    15. Zhang, Dian & Cheng, Jun & Cao, Jinde & Zhang, Dan, 2019. "Finite-time synchronization control for semi-Markov jump neural networks with mode-dependent stochastic parametric uncertainties," Applied Mathematics and Computation, Elsevier, vol. 344, pages 230-242.
    16. Li, Min & Huang, Qinzhen, 2019. "Non-fragile passive control for Markovian jump systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    17. Ding, Yucai & Liu, Hui & Xu, Hui & Zhong, Shouming, 2019. "On uniform ultimate boundedness of linear systems with time-varying delays and peak-bounded disturbances," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 381-392.
    18. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Distributed event-triggered protocols with Kx-functional observer for leader-following multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    19. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2022. "Improved sampled-data control design of T-S fuzzy systems against mismatched fuzzy-basis functions," Applied Mathematics and Computation, Elsevier, vol. 428(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:119:y:2019:i:c:p:86-93. 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.