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Existence of chaos in the plane $mathbb{R}^2$ and its application in macroeconomics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F15%3A%230000505" target="_blank" >RIV/47813059:19610/15:#0000505 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.sciencedirect.com/science/article/pii/S0096300315001277" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0096300315001277</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.amc.2015.01.095" target="_blank" >10.1016/j.amc.2015.01.095</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Existence of chaos in the plane $mathbb{R}^2$ and its application in macroeconomics

  • Original language description

    The Devaney, Li-Yorke and distributional chaos in the plane R-2 can occur in the continuous dynamical system generated by Euler equation branching. Euler equation branching is a type of differential inclusion (x) over dot is an element of{f(x), g(x)}, where f,g : X subset of R-n -> R-n are continuous and f (x) not equal g(x) in every point x is an element of X. Stockman and Raines (2010) defined the so-called chaotic set in the plane R-2 whose existence leads to the existence of Devaney, Li-Yorke and distributional chaos. In this paper, we follow up on Stockman and Raines (2010) and we show that chaos in the plane R-2 is always admitted for hyperbolic singular points in both branches not lying in the same point in R-2. But the chaos existence is also caused by a set of solutions of Euler equation branching. We research this set of solutions. In the second part we create the new overall macroeconomic equilibrium model called IS-LM/QY-ML model. This model is based on the fundamental macr

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Applied Mathematics and Computation

  • ISSN

    0096-3003

  • e-ISSN

  • Volume of the periodical

    258

  • Issue of the periodical within the volume

    1 May 2015

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    30

  • Pages from-to

    237-266

  • UT code for WoS article

    000351668500026

  • EID of the result in the Scopus database

    2-s2.0-84923632703