Some results on stability of difference systems
This paper presents some new results on existence and stability of equilibrium or periodic points for difference systems. First sufficient conditions of existence of asymptotically stable equilibrium point as well as the asymptotic stability of given equilibrium point are given for second order or d...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/1026022021000001436 |
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| _version_ | 1832564307202670592 |
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| author | Xiao-Song Yang Ping Zhou |
| author_facet | Xiao-Song Yang Ping Zhou |
| author_sort | Xiao-Song Yang |
| collection | DOAJ |
| description | This paper presents some new results on existence and stability of equilibrium or periodic points for difference systems. First sufficient conditions of existence of asymptotically stable equilibrium point as well as the asymptotic stability of given equilibrium point are given for second order or delay difference systems. Then some similar results on existence of asymptotically stable periodic (equilibrium) points to general difference systems are presented. |
| format | Article |
| id | doaj-art-02c22819b03742259dc48fa3ccfdc83d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-02c22819b03742259dc48fa3ccfdc83d2025-02-03T01:11:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2002-01-017316116310.1080/1026022021000001436Some results on stability of difference systemsXiao-Song Yang0Ping Zhou1Institute for Nonlinear Systems, Chongqing University of Posts and Telecomm, Chongqing 400065, ChinaInstitute for Nonlinear Systems, Chongqing University of Posts and Telecomm, Chongqing 400065, ChinaThis paper presents some new results on existence and stability of equilibrium or periodic points for difference systems. First sufficient conditions of existence of asymptotically stable equilibrium point as well as the asymptotic stability of given equilibrium point are given for second order or delay difference systems. Then some similar results on existence of asymptotically stable periodic (equilibrium) points to general difference systems are presented.http://dx.doi.org/10.1080/1026022021000001436Stability of equilibrium point; Difference systems; Second order systems; Dynamical system. |
| spellingShingle | Xiao-Song Yang Ping Zhou Some results on stability of difference systems Discrete Dynamics in Nature and Society Stability of equilibrium point; Difference systems; Second order systems; Dynamical system. |
| title | Some results on stability of difference systems |
| title_full | Some results on stability of difference systems |
| title_fullStr | Some results on stability of difference systems |
| title_full_unstemmed | Some results on stability of difference systems |
| title_short | Some results on stability of difference systems |
| title_sort | some results on stability of difference systems |
| topic | Stability of equilibrium point; Difference systems; Second order systems; Dynamical system. |
| url | http://dx.doi.org/10.1080/1026022021000001436 |
| work_keys_str_mv | AT xiaosongyang someresultsonstabilityofdifferencesystems AT pingzhou someresultsonstabilityofdifferencesystems |