IDEAS home Printed from https://ideas.repec.org/b/spr/sprbok/978-3-540-36776-5.html
   My bibliography  Save this book

Discrete Dynamical Systems

Author

Listed:
  • Oded Galor

    (Brown University)

Abstract

This manuscript analyzes the fundamental factors that govern the qualitative behavior of discrete dynamical systems. It introduces methods of analysis for stability analysis of discrete dynamical systems. The analysis focuses initially on the derivation of basic propositions about the factors that determine the local and global stability of discrete dynamical systems in the elementary context of a one dimensional, first-order, autonomous, systems. These propositions are subsequently generalized to account for stability analysis in a multi-dimensional, higher-order, non-autonomous, nonlinear, dynamical systems.
(This abstract was borrowed from another version of this item.)

Individual chapters are listed in the "Chapters" tab

Suggested Citation

  • Oded Galor, 2007. "Discrete Dynamical Systems," Springer Books, Springer, edition 1, number 978-3-540-36776-5, June.
    • Handle: RePEc:spr:sprbok:978-3-540-36776-5
    DOI: 10.1007/3-540-36776-4
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-1386, November.
    Full references (including those not matched with items on IDEAS)

    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. Yehuda Levy, 2013. "A Cantor Set of Games with No Shift-Homogeneous Equilibrium Selection," Mathematics of Operations Research, INFORMS, vol. 38(3), pages 492-503, August.
    2. Davin, Marion & Gente, Karine & Nourry, Carine, 2015. "Should a country invest more in human or physical capital?," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 44-52.
    3. Sen, Partha, 2006. "Population growth and steady state welfare in an overlapping generations model," Economics Letters, Elsevier, vol. 91(3), pages 325-329, June.
    4. Xie Danyang, 1994. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," Journal of Economic Theory, Elsevier, vol. 63(1), pages 97-112, June.
    5. Mehdi Senouci, 2011. "Optimal growth and the golden rule in a two-sector model of capital accumulation," PSE Working Papers halshs-00572510, HAL.
    6. repec:hal:spmain:info:hdl:2441/6dhper3pho8nspmsluhrt4lcd8 is not listed on IDEAS
    7. Gilles Le Garrec & Vincent Touzé, 2017. "La macroéconomie à l’heure de la stagnation séculaire," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(4), pages 79-104.
    8. repec:beo:journl:v:62:y:2018:i:216:p:7-34 is not listed on IDEAS
    9. Andrea Brasili & Paolo Epifani & Rodolfo Helg, 1999. "On the dynamics of trade patterns," LIUC Papers in Economics 61, Cattaneo University (LIUC).
    10. Mehlum, Halvor & Torvik, Ragnar & Valente, Simone, 2016. "The savings multiplier," Journal of Monetary Economics, Elsevier, vol. 83(C), pages 90-105.
    11. María Dolores Guilló, 1995. "Terms-Of-Trade And The Current Account: A Two-Country/Two-Sector Growth Model," Working Papers. Serie AD 1995-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    12. Marco Guerrazzi, 2023. "Optimal growth with labor market frictions," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 961-987, December.
    13. Eric Bond & Kazumichi Iwasa & Kazuo Nishimura, 2011. "A dynamic two country Heckscher–Ohlin model with non-homothetic preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 171-204, September.
    14. repec:spo:wpecon:info:hdl:2441/3902 is not listed on IDEAS
    15. Antoine Le Riche & Carine Nourry & Alain Venditti, 2012. "Efficient Endogenous Fluctuations in Two-Sector OLG Model," Working Papers halshs-00793704, HAL.
    16. Carine Nourry & Alain Venditti, 2011. "Endogenous Business Cycles in OLG Economies with Multiple Consumption Goods," Working Papers halshs-01059578, HAL.
    17. Gilles Le Garrec & Vincent Touzé, 2016. "Capital accumulation and the dynamic of secular stagnation," Documents de Travail de l'OFCE 2016-17, Observatoire Francais des Conjonctures Economiques (OFCE).
    18. Nils Herger, 2015. "An uncovered interest parity condition that worked - The continental investment demand for London bills of exchange during the gold standard (1880 -1914)," Working Papers 15.04, Swiss National Bank, Study Center Gerzensee.
    19. Benhabib, Jess & Gali, Jordi, 1995. "On growth and indeterminacy: some theory and evidence," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 163-211, December.
    20. repec:hal:spmain:info:hdl:2441/70e22p50bv87u8gqv59vblij09 is not listed on IDEAS
    21. Bréchet, Thierry & Jouvet, Pierre-André & Rotillon, Gilles, 2013. "Tradable pollution permits in dynamic general equilibrium: Can optimality and acceptability be reconciled?," Ecological Economics, Elsevier, vol. 91(C), pages 89-97.
    22. Bianconi, Marcelo, 1995. "On dynamic real trade models," Economics Letters, Elsevier, vol. 47(1), pages 47-52, January.
    23. Mehdi Senouci, 2012. "Technical change in a neoclassical two-sector model of optimal growth," PSE Working Papers halshs-00589627, HAL.
    24. Serdar Sayan, 2002. "Dynamic Heckscher-Ohlin Results from a 2x2x2x2 Overlapping Generations Model with Unequal Population Growth Rates," GE, Growth, Math methods 0203002, University Library of Munich, Germany, revised 14 Mar 2002.

    Book Chapters

    The following chapters of this book are listed in IDEAS

    More about this item

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D9 - Microeconomics - - Micro-Based Behavioral Economics

    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:spr:sprbok:978-3-540-36776-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.