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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Bibliographic Details
Main Authors: Yonghong Chen, Xunxiang Guo
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2019/4874836
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Summary: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.
ISSN:1026-0226
1607-887X