Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum
In this paper, the normal forms of nonautonomous nonlinear systems with discrete time are investigated. We first employ the nonuniform kinematic similarity to prove the nonuniform dichotomy spectrum theorem, which is not based on linear integral manifolds in most of the previous works. Using this sp...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/6656183 |
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| _version_ | 1841561529932054528 |
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| author | Ning Song |
| author_facet | Ning Song |
| author_sort | Ning Song |
| collection | DOAJ |
| description | In this paper, the normal forms of nonautonomous nonlinear systems with discrete time are investigated. We first employ the nonuniform kinematic similarity to prove the nonuniform dichotomy spectrum theorem, which is not based on linear integral manifolds in most of the previous works. Using this spectral theorem, we extend smooth normal forms from autonomous difference systems to nonautonomous ones. |
| format | Article |
| id | doaj-art-fa5a9206d8624668ab3c7319b186bed3 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-fa5a9206d8624668ab3c7319b186bed32025-01-03T01:34:45ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/6656183Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy SpectrumNing Song0School of Information EngineeringIn this paper, the normal forms of nonautonomous nonlinear systems with discrete time are investigated. We first employ the nonuniform kinematic similarity to prove the nonuniform dichotomy spectrum theorem, which is not based on linear integral manifolds in most of the previous works. Using this spectral theorem, we extend smooth normal forms from autonomous difference systems to nonautonomous ones.http://dx.doi.org/10.1155/2024/6656183 |
| spellingShingle | Ning Song Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum Journal of Function Spaces |
| title | Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum |
| title_full | Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum |
| title_fullStr | Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum |
| title_full_unstemmed | Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum |
| title_short | Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum |
| title_sort | normal forms for nonautonomous nonlinear difference systems under nonuniform dichotomy spectrum |
| url | http://dx.doi.org/10.1155/2024/6656183 |
| work_keys_str_mv | AT ningsong normalformsfornonautonomousnonlineardifferencesystemsundernonuniformdichotomyspectrum |