Complex Dynamics of an Adnascent-Type Game Model

The paper presents a nonlinear discrete game model for two oligopolistic firms whose products are adnascent. (In biology, the term adnascent has only one sense, “growing to or on something else,” e.g., “moss is an adnascent plant.” See Webster's Revised Unabridged Dictionary published in 1913 b...

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Main Authors: Baogui Xin, Junhai Ma, Qin Gao
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2008/467972
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author Baogui Xin
Junhai Ma
Qin Gao
author_facet Baogui Xin
Junhai Ma
Qin Gao
author_sort Baogui Xin
collection DOAJ
description The paper presents a nonlinear discrete game model for two oligopolistic firms whose products are adnascent. (In biology, the term adnascent has only one sense, “growing to or on something else,” e.g., “moss is an adnascent plant.” See Webster's Revised Unabridged Dictionary published in 1913 by C. & G. Merriam Co., edited by Noah Porter.) The bifurcation of its Nash equilibrium is analyzed with Schwarzian derivative and normal form theory. Its complex dynamics is demonstrated by means of the largest Lyapunov exponents, fractal dimensions, bifurcation diagrams, and phase portraits. At last, bifurcation and chaos anticontrol of this system are studied.
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institution Kabale University
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series Discrete Dynamics in Nature and Society
spelling doaj-art-010dd23fed19429b9709d0b365b359fb2025-02-03T06:42:17ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/467972467972Complex Dynamics of an Adnascent-Type Game ModelBaogui Xin0Junhai Ma1Qin Gao2Nonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 300072, ChinaNonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 300072, ChinaNonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 300072, ChinaThe paper presents a nonlinear discrete game model for two oligopolistic firms whose products are adnascent. (In biology, the term adnascent has only one sense, “growing to or on something else,” e.g., “moss is an adnascent plant.” See Webster's Revised Unabridged Dictionary published in 1913 by C. & G. Merriam Co., edited by Noah Porter.) The bifurcation of its Nash equilibrium is analyzed with Schwarzian derivative and normal form theory. Its complex dynamics is demonstrated by means of the largest Lyapunov exponents, fractal dimensions, bifurcation diagrams, and phase portraits. At last, bifurcation and chaos anticontrol of this system are studied.http://dx.doi.org/10.1155/2008/467972
spellingShingle Baogui Xin
Junhai Ma
Qin Gao
Complex Dynamics of an Adnascent-Type Game Model
Discrete Dynamics in Nature and Society
title Complex Dynamics of an Adnascent-Type Game Model
title_full Complex Dynamics of an Adnascent-Type Game Model
title_fullStr Complex Dynamics of an Adnascent-Type Game Model
title_full_unstemmed Complex Dynamics of an Adnascent-Type Game Model
title_short Complex Dynamics of an Adnascent-Type Game Model
title_sort complex dynamics of an adnascent type game model
url http://dx.doi.org/10.1155/2008/467972
work_keys_str_mv AT baoguixin complexdynamicsofanadnascenttypegamemodel
AT junhaima complexdynamicsofanadnascenttypegamemodel
AT qingao complexdynamicsofanadnascenttypegamemodel