On a System of Two High-Order Nonlinear Difference Equations
This paper is concerned with dynamics of the solution to the system of two high-order nonlinear difference equations xn+1=xn-k/(q+∏i=0kyn-i), yn+1=yn-k/(p+∏i=0kxn-i), k∈N+, n=0,1,…, where p,q∈(0,∞), x-i∈(0,∞), y-i∈(0,∞) and i=0,1,…,k. Moreover the rate of convergence of a solution that con...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/729273 |
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| _version_ | 1832558842053918720 |
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| author | Qianhong Zhang Wenzhuan Zhang |
| author_facet | Qianhong Zhang Wenzhuan Zhang |
| author_sort | Qianhong Zhang |
| collection | DOAJ |
| description | This paper is concerned with dynamics of the solution to the system of two high-order nonlinear difference equations
xn+1=xn-k/(q+∏i=0kyn-i), yn+1=yn-k/(p+∏i=0kxn-i), k∈N+, n=0,1,…, where p,q∈(0,∞), x-i∈(0,∞), y-i∈(0,∞) and i=0,1,…,k. Moreover the rate of convergence of a solution that converges to the equilibrium (0,0) of the system is discussed. Finally, some numerical examples are considered to show the results obtained. |
| format | Article |
| id | doaj-art-142689d490b64f1295829f45c035bace |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-142689d490b64f1295829f45c035bace2025-02-03T01:31:21ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/729273729273On a System of Two High-Order Nonlinear Difference EquationsQianhong Zhang0Wenzhuan Zhang1Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, Guizhou 550004, ChinaGuizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, Guizhou 550004, ChinaThis paper is concerned with dynamics of the solution to the system of two high-order nonlinear difference equations xn+1=xn-k/(q+∏i=0kyn-i), yn+1=yn-k/(p+∏i=0kxn-i), k∈N+, n=0,1,…, where p,q∈(0,∞), x-i∈(0,∞), y-i∈(0,∞) and i=0,1,…,k. Moreover the rate of convergence of a solution that converges to the equilibrium (0,0) of the system is discussed. Finally, some numerical examples are considered to show the results obtained.http://dx.doi.org/10.1155/2014/729273 |
| spellingShingle | Qianhong Zhang Wenzhuan Zhang On a System of Two High-Order Nonlinear Difference Equations Advances in Mathematical Physics |
| title | On a System of Two High-Order Nonlinear Difference Equations |
| title_full | On a System of Two High-Order Nonlinear Difference Equations |
| title_fullStr | On a System of Two High-Order Nonlinear Difference Equations |
| title_full_unstemmed | On a System of Two High-Order Nonlinear Difference Equations |
| title_short | On a System of Two High-Order Nonlinear Difference Equations |
| title_sort | on a system of two high order nonlinear difference equations |
| url | http://dx.doi.org/10.1155/2014/729273 |
| work_keys_str_mv | AT qianhongzhang onasystemoftwohighordernonlineardifferenceequations AT wenzhuanzhang onasystemoftwohighordernonlineardifferenceequations |