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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Applied Mathematics and Computation

ISSN

0096-3003

e-ISSN

—

Svazek periodika

258

Číslo periodika v rámci svazku

1 May 2015

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

30

Strana od-do

237-266

Kód UT WoS článku

000351668500026

EID výsledku v databázi Scopus

2-s2.0-84923632703