Sensitivities in Models with Backward Dynamics
In this paper, we study some properties of economic model with backward dynamics. We mainly introduce the concept of P-sensitivity and P-Li-Yorke sensitivity especially for the multivalued forward dynamics of such models and characterize P-sensitivity and P-Li-Yorke sensitivity of the multivalued fo...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/4874836 |
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| _version_ | 1832558623420579840 |
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| author | Yonghong Chen Xunxiang Guo |
| author_facet | Yonghong Chen Xunxiang Guo |
| author_sort | Yonghong Chen |
| collection | DOAJ |
| description | In this paper, we study some properties of economic model with backward dynamics. We mainly introduce the concept of P-sensitivity and P-Li-Yorke sensitivity especially for the multivalued forward dynamics of such models and characterize P-sensitivity and P-Li-Yorke sensitivity of the multivalued forward dynamics in terms of sensitivity and Li-Yorke sensitivity of an induced single-valued dynamics by using the theory of inverse limits. Similarly, we also characterize the sensitivity and Li-Yorke sensitivity of the single-valued backward dynamics of such models in terms of the corresponding sensitivities of an induced single-valued dynamics. |
| format | Article |
| id | doaj-art-dda697ace14b4749af5c582204e8efbe |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-dda697ace14b4749af5c582204e8efbe2025-02-03T01:32:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/48748364874836Sensitivities in Models with Backward DynamicsYonghong Chen0Xunxiang Guo1School of Economic Mathematics, Southwestern University of Finance and Economics, Wenjiang, Sichuan, 611130, ChinaSchool of Economic Mathematics, Southwestern University of Finance and Economics, Wenjiang, Sichuan, 611130, ChinaIn this paper, we study some properties of economic model with backward dynamics. We mainly introduce the concept of P-sensitivity and P-Li-Yorke sensitivity especially for the multivalued forward dynamics of such models and characterize P-sensitivity and P-Li-Yorke sensitivity of the multivalued forward dynamics in terms of sensitivity and Li-Yorke sensitivity of an induced single-valued dynamics by using the theory of inverse limits. Similarly, we also characterize the sensitivity and Li-Yorke sensitivity of the single-valued backward dynamics of such models in terms of the corresponding sensitivities of an induced single-valued dynamics.http://dx.doi.org/10.1155/2019/4874836 |
| spellingShingle | Yonghong Chen Xunxiang Guo Sensitivities in Models with Backward Dynamics Discrete Dynamics in Nature and Society |
| title | Sensitivities in Models with Backward Dynamics |
| title_full | Sensitivities in Models with Backward Dynamics |
| title_fullStr | Sensitivities in Models with Backward Dynamics |
| title_full_unstemmed | Sensitivities in Models with Backward Dynamics |
| title_short | Sensitivities in Models with Backward Dynamics |
| title_sort | sensitivities in models with backward dynamics |
| url | http://dx.doi.org/10.1155/2019/4874836 |
| work_keys_str_mv | AT yonghongchen sensitivitiesinmodelswithbackwarddynamics AT xunxiangguo sensitivitiesinmodelswithbackwarddynamics |