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CompDTIMe: Computing one-dimensional invariant manifolds for saddle points of discrete time dynamical systems

Author

Listed:
  • Anastasiia Panchuk

    (National Academic of Sciences of Ukraine)

Abstract

This paper describes briefly main functionalities and exploited numerical methods of the package CompDTIMe which consists of several Matlab routines. This package allows one to calculate two-dimensional bifurcation diagrams, to find periodic points not depending on whether they are attracting, to compute one-dimensional stable and unstable manifolds of saddle points. Certain functions are also provided for plotting the numerical outcome by means of Matlab.

Suggested Citation

  • Anastasiia Panchuk, 2015. "CompDTIMe: Computing one-dimensional invariant manifolds for saddle points of discrete time dynamical systems," Gecomplexity Discussion Paper Series 11, Action IS1104 "The EU in the new complex geography of economic systems: models, tools and policy evaluation", revised Feb 2015.
    • Handle: RePEc:cst:wpaper:11
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    File URL: http://www.gecomplexity-cost.eu/repec/cst/wpaper/geco_dp_11.pdf
    File Function: First version, 2015
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    Cited by:

    1. Jungeilges, Jochen & Ryazanova, Tatyana, 2019. "Transitions in consumption behaviors in a peer-driven stochastic consumer network," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 144-154.
    2. Gori, Luca & Sodini, Mauro, 2020. "Endogenous labour supply, endogenous lifetime and economic development," Structural Change and Economic Dynamics, Elsevier, vol. 52(C), pages 238-259.

    More about this item

    Keywords

    discrete time dynamical systems software; numerical methods; saddle periodic points; stable and unstable invariant manifolds;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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