Linearization of Some Formal Maps on <i>C<sup>n</sup></i>

REN Zhihua; LIU Yanhua; YAN Shuo

doi:10.3969/j.issn.0254-0037.2013.01.026

Journal of Beijing University of Technology > 2013 > 39(1): 153-156. > DOI: 10.3969/j.issn.0254-0037.2013.01.026

REN Zhihua, LIU Yanhua, YAN Shuo. Linearization of Some Formal Maps on Cⁿ[J]. Journal of Beijing University of Technology, 2013, 39(1): 153-156. DOI: 10.3969/j.issn.0254-0037.2013.01.026

Citation:

REN Zhihua, LIU Yanhua, YAN Shuo. Linearization of Some Formal Maps on Cⁿ[J]. Journal of Beijing University of Technology, 2013, 39(1): 153-156. DOI: 10.3969/j.issn.0254-0037.2013.01.026

Citation:

REN Zhihua, LIU Yanhua, YAN Shuo. Linearization of Some Formal Maps on Cⁿ[J]. Journal of Beijing University of Technology, 2013, 39(1): 153-156. DOI: 10.3969/j.issn.0254-0037.2013.01.026

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Linearization of Some Formal Maps on Cⁿ

1. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China;
2. Department of Mathematics, Huhhot University for Nationalities, Huhhot 010051, China

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Received Date: May 15, 2011
Available Online: January 10, 2023

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Abstract

To discuss the linearization of nonlinear dynamical systems,some formal maps with the so-called weak-resonant nonlinear parts were studied by using classical normal form theory.The conclusion is that in such cases the maps are linearizable near their fixed points,regardless of resonant relations the eigenvalues of the maps admit.
- formal maps,
- weak-resonant,
- linearization,
- conjugating equivalence

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Linearization of Some Formal Maps on Cⁿ