IDEAS home Printed from https://ideas.repec.org/a/cup/macdyn/v2y1998i04p505-532_00.html
   My bibliography  Save this article

Nonlinear Dynamics And Chaos Part I: A Geometrical Approach

Author

Listed:
  • Medio, Alfredo

Abstract

This paper is the first part of a two-part survey reviewing some basic concepts and methods of the modern theory of dynamical systems. The survey is introduced by a preliminary discussion of the relevance of nonlinear dynamics and chaos for economics. We then discuss the dynamic behavior of nonlinear systems of difference and differential equations such as those commonly employed in the analysis of economically motivated models. Part I of the survey focuses on the geometrical properties of orbits. In particular, we discuss the notion of attractor and the different types of attractors generated by discrete- and continuous-time dynamical systems, such as fixed and periodic points, limit cycles, quasiperiodic and chaotic attractors. The notions of (noninteger) fractal dimension and Lyapunov characteristic exponent also are explained, as well as the main routes to chaos.

Suggested Citation

  • Medio, Alfredo, 1998. "Nonlinear Dynamics And Chaos Part I: A Geometrical Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 2(4), pages 505-532, December.
    • Handle: RePEc:cup:macdyn:v:2:y:1998:i:04:p:505-532_00
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S1365100598009079/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Joydeep Bhattacharya & Helle Bunzel, 2003. "Dynamics of the planning solution in the discrete-time textbook model of labor market search and matching," Economics Bulletin, AccessEcon, vol. 5(19), pages 1-10.
    2. Bhattacharya, J. & Bunzel, H., 2003. "Chaotic Planning Solutions in the Textbook Model of Labor Market Search and Matching," Other publications TiSEM da7233db-ec71-41f8-b3d6-d, Tilburg University, School of Economics and Management.
    3. Guo, Jang-Ting & Lansing, Kevin J., 2002. "Fiscal Policy, Increasing Returns, And Endogenous Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(5), pages 633-664, November.
    4. Bhattacharya, Joydeep & Bunzel, Helle, 2003. "Dynamics of the Planning Solution in the Discrete-Time Textbook Model of Labor Market Search and Matching," Staff General Research Papers Archive 10253, Iowa State University, Department of Economics.

    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:cup:macdyn:v:2:y:1998:i:04:p:505-532_00. 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: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/mdy .

    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.