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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2008/467972 |
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| _version_ | 1832548029271375872 |
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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. |
| format | Article |
| id | doaj-art-010dd23fed19429b9709d0b365b359fb |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| 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 |