Complex dynamics and chaos control of heterogeneous quadropoly game

A. A. Elsadany; H. N. Agiza; E. M. Elabbasy

doi:10.1016/j.amc.2013.05.029

Complex dynamics and chaos control of heterogeneous quadropoly game

A. A. Elsadany, H. N. Agiza, E. M. Elabbasy

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

Abstract

The dynamical system of four heterogeneous firms is derived. Existence and stability conditions of the fixed points are investigated and also complex dynamics is studied. Numerical simulations are used to illustrate the complex behaviors of the proposed dynamic game. The chaotic behavior of the game has been controlled by using feedback control method.

Original language	English
Pages (from-to)	11110-11118
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	219
Issue number	24
DOIs	https://doi.org/10.1016/j.amc.2013.05.029
State	Published - 2013
Externally published	Yes

Keywords

Chaos
Feedback control method
Heterogeneous firms
Nash equilibrium
Quadropoly

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10.1016/j.amc.2013.05.029

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@article{2ee73c485b2741688a529874d17feb4e,

title = "Complex dynamics and chaos control of heterogeneous quadropoly game",

abstract = "The dynamical system of four heterogeneous firms is derived. Existence and stability conditions of the fixed points are investigated and also complex dynamics is studied. Numerical simulations are used to illustrate the complex behaviors of the proposed dynamic game. The chaotic behavior of the game has been controlled by using feedback control method.",

keywords = "Chaos, Feedback control method, Heterogeneous firms, Nash equilibrium, Quadropoly",

author = "Elsadany, \{A. A.\} and Agiza, \{H. N.\} and Elabbasy, \{E. M.\}",

year = "2013",

doi = "10.1016/j.amc.2013.05.029",

language = "English",

volume = "219",

pages = "11110--11118",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

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TY - JOUR

T1 - Complex dynamics and chaos control of heterogeneous quadropoly game

AU - Elsadany, A. A.

AU - Agiza, H. N.

AU - Elabbasy, E. M.

PY - 2013

Y1 - 2013

N2 - The dynamical system of four heterogeneous firms is derived. Existence and stability conditions of the fixed points are investigated and also complex dynamics is studied. Numerical simulations are used to illustrate the complex behaviors of the proposed dynamic game. The chaotic behavior of the game has been controlled by using feedback control method.

AB - The dynamical system of four heterogeneous firms is derived. Existence and stability conditions of the fixed points are investigated and also complex dynamics is studied. Numerical simulations are used to illustrate the complex behaviors of the proposed dynamic game. The chaotic behavior of the game has been controlled by using feedback control method.

KW - Chaos

KW - Feedback control method

KW - Heterogeneous firms

KW - Nash equilibrium

KW - Quadropoly

UR - https://www.scopus.com/pages/publications/84879493130

U2 - 10.1016/j.amc.2013.05.029

DO - 10.1016/j.amc.2013.05.029

M3 - Article

AN - SCOPUS:84879493130

SN - 0096-3003

VL - 219

SP - 11110

EP - 11118

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 24

ER -

Complex dynamics and chaos control of heterogeneous quadropoly game

Abstract

Keywords

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