Abstract
In this paper, we investigate parameterized difference systems, which can yield normal forms of vector fields and diffeomorphisms together. Using it, the normal forms of periodic difference and differential systems can be achieved uniformly.
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References
Chow, S.N., Li, C., Wang, D.: Normal Forms and Bifurcation of Planar Vector Fields. Cambridge University Press, Cambridge (1994)
Elaydi, S.: An Introduction to Difference Equations. Undergrad. Texts Math, 3rd edn. Springer, New York (2005)
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Funding
Zhihua Ren is supported by NSF of China No. 11471027. Hao Wu is supported by NSF of China Nos. 11571072 and 11871041.
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HW is contributed to the conception of the study. ZR and ML are contributed significantly to analysis and manuscript preparation.
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Ren, Z., Liu, M. & Wu, H. Normal Forms for Difference and Differential Systems. Qual. Theory Dyn. Syst. 21, 28 (2022). https://doi.org/10.1007/s12346-022-00560-7
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DOI: https://doi.org/10.1007/s12346-022-00560-7