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Nonlinear Dynamics

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  • Medio,Alfredo
  • Lines,Marji
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    Abstract

    A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources

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    Bibliographic Info

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    This book is provided by Cambridge University Press in its series Cambridge Books with number 9780521558747 and published in 2001.

    Order: http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521558747
    Handle: RePEc:cup:cbooks:9780521558747

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    Web page: http://www.cambridge.org

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    Cited by:
    1. Agliari, Anna & Dieci, Roberto & Gardini, Laura, 2007. "Homoclinic tangles in a Kaldor-like business cycle model," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 324-347, March.
    2. Carl Chiarella & Roberto Dieci, 2004. "Asset price and wealth dynamics in a financial market with heterogeneous agents," Computing in Economics and Finance 2004 261, Society for Computational Economics.
    3. Bischi, Gian-Italo & Gallegati, Mauro & Gardini, Laura & Leombruni, Roberto & Palestrini, Antonio, 2006. "Herd Behavior And Nonfundamental Asset Price Fluctuations In Financial Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 10(04), pages 502-528, September.
    4. Anufriev, M. & Bottazzi, G., 2009. "Market Equilibria under Procedural Rationality (revised version of WP 06-02)," CeNDEF Working Papers 09-11, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    5. Anufriev, Mikhail & Bottazzi, Giulio, 2010. "Market equilibria under procedural rationality," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1140-1172, November.
    6. Mikhail Anufriev & Pietro Dindo, 2007. "Wealth-driven Selection in a Financial Market with Heterogeneous Agents," LEM Papers Series 2007/27, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    7. Franco Bevilacqua & Adriaan van Zon, 2002. "Random Walks and Non-Linear Paths in Macroeconomic Time Series: Some Evidence and Implications," Working Papers geewp22, Vienna University of Economics Research Group: Growth and Employment in Europe: Sustainability and Competitiveness.
    8. Anufriev, M. & Dindo, P.D.E., 2007. "Wealth Selection in a Financial Market with Heterogeneous Agents," CeNDEF Working Papers 07-10, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    9. Jalan, Jyotsna & Ravallion, Martin, 2001. "Household income dynamics in rural China," Policy Research Working Paper Series 2706, The World Bank.
    10. Mark Taylor & Ashoka Mody & Lucio Sarno, 2005. "A Cross-Country Financial Accelorator: Evidence from North America and Europe," Working Papers wp05-12, Warwick Business School, Finance Group.
    11. Pietro Dindo & Mikhail Anufriev, 2007. "Equilibrium Return and Agents' Survival in a Multiperiod Asset Market: Analytic Support of a Simulation Model," Working Papers wp07-03, Warwick Business School, Finance Group.
    12. Agliari, Anna & Vachadze, George, 2014. "Credit market imperfection, labor supply complementarity, and output volatility," Economic Modelling, Elsevier, vol. 38(C), pages 45-56.

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