Sensitivities in Models with Backward Dynamics. (2nd May 2019)

• Record Type: Journal Article
• Authors: Chen, Yonghong; Guo, Xunxiang
• Other Names: Anderson Douglas R. Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2019(2019)
• Publication Date: 2019-05-02
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2019/4874836
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : In this paper, we study some properties of economic model with backward dynamics. We mainly introduce the concept ofP -sensitivity andP -Li-Yorke sensitivity especially for the multivalued forward dynamics of such models and characterizeP -sensitivity andP -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.