IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/6669956.html
   My bibliography  Save this article

Dynamical Analysis and Simulation of a New Lorenz-Like Chaotic System

Author

Listed:
  • You Li
  • Ming Zhao
  • Fengjie Geng

Abstract

This work presents and investigates a new chaotic system with eight terms. By numerical simulation, the two-scroll chaotic attractor is found for some certain parameters. And, by theoretical analysis, we discuss the dynamical behavior of the new-type Lorenz-like chaotic system. Firstly, the local dynamical properties, such as the distribution and the local stability of all equilibrium points, the local stable and unstable manifolds, and the Hopf bifurcations, are all revealed as the parameters varying in the space of parameters. Secondly, by applying the way of Poincaré compactification in , the dynamics at infinity are clearly analyzed. Thirdly, combining the dynamics at finity and those at infinity, the global dynamical behaviors are formulated. Especially, we have proved the existence of the infinite heteroclinic orbits. Furthermore, all obtained theoretical results in this paper are further verified by numerical simulations.

Suggested Citation

  • You Li & Ming Zhao & Fengjie Geng, 2021. "Dynamical Analysis and Simulation of a New Lorenz-Like Chaotic System," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-18, March.
    • Handle: RePEc:hin:jnlmpe:6669956
    DOI: 10.1155/2021/6669956
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2021/6669956.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2021/6669956.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/6669956?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlmpe:6669956. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.