Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations
This paper focuses on almost-periodic time-dependent perturbations of an almost-periodic differential equation near the degenerate equilibrium point. Using the KAM method, the perturbed equation can be reduced to a suitable normal form with zero as equilibrium point by an affine almost-periodic tran...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/386812 |
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| _version_ | 1849684937025781760 |
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| author | Wenhua Qiu Jianguo Si |
| author_facet | Wenhua Qiu Jianguo Si |
| author_sort | Wenhua Qiu |
| collection | DOAJ |
| description | This paper focuses on almost-periodic time-dependent perturbations of an almost-periodic differential equation near the degenerate equilibrium point. Using the KAM method, the perturbed equation can be reduced to a suitable normal form with zero as equilibrium point by an affine almost-periodic transformation. Hence, for the equation we can obtain a small almost-periodic solution. |
| format | Article |
| id | doaj-art-bc964df9b7a0401ab110a55f5dc98aca |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bc964df9b7a0401ab110a55f5dc98aca2025-08-20T03:23:19ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/386812386812Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic PerturbationsWenhua Qiu0Jianguo Si1School of Mathematics, Shandong University, Jinan, Shandong 250100, ChinaSchool of Mathematics, Shandong University, Jinan, Shandong 250100, ChinaThis paper focuses on almost-periodic time-dependent perturbations of an almost-periodic differential equation near the degenerate equilibrium point. Using the KAM method, the perturbed equation can be reduced to a suitable normal form with zero as equilibrium point by an affine almost-periodic transformation. Hence, for the equation we can obtain a small almost-periodic solution.http://dx.doi.org/10.1155/2013/386812 |
| spellingShingle | Wenhua Qiu Jianguo Si Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations Abstract and Applied Analysis |
| title | Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations |
| title_full | Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations |
| title_fullStr | Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations |
| title_full_unstemmed | Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations |
| title_short | Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations |
| title_sort | reducibility for a class of almost periodic differential equations with degenerate equilibrium point under small almost periodic perturbations |
| url | http://dx.doi.org/10.1155/2013/386812 |
| work_keys_str_mv | AT wenhuaqiu reducibilityforaclassofalmostperiodicdifferentialequationswithdegenerateequilibriumpointundersmallalmostperiodicperturbations AT jianguosi reducibilityforaclassofalmostperiodicdifferentialequationswithdegenerateequilibriumpointundersmallalmostperiodicperturbations |