Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems
This paper is concerned with the limiting process known as Reductive Perturbation Theory. A new view of both conventional reductive perturbation theory and the higher order theory of Kodama is presented for a general class of dissipative systems. An alternative Iterative approach to the determinatio...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171284000685 |
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| _version_ | 1832550301597433856 |
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| author | Hedley C. Morris Derek Sheil Roger Dodd |
| author_facet | Hedley C. Morris Derek Sheil Roger Dodd |
| author_sort | Hedley C. Morris |
| collection | DOAJ |
| description | This paper is concerned with the limiting process known as Reductive Perturbation Theory. A new view of both conventional reductive perturbation theory and the higher order theory of Kodama is presented for a general class of dissipative systems. An alternative Iterative approach to the determination of higher order corrections is outlined. |
| format | Article |
| id | doaj-art-bbb1be110c2d4667be7e92436f18747f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bbb1be110c2d4667be7e92436f18747f2025-02-03T06:07:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017462566110.1155/S0161171284000685Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systemsHedley C. Morris0Derek Sheil1Roger Dodd2Department of Mathematics, Claremont Graduate School, Claremont, California 91711, USATrinity College Dublin, IrelandTrinity College Dublin, IrelandThis paper is concerned with the limiting process known as Reductive Perturbation Theory. A new view of both conventional reductive perturbation theory and the higher order theory of Kodama is presented for a general class of dissipative systems. An alternative Iterative approach to the determination of higher order corrections is outlined.http://dx.doi.org/10.1155/S0161171284000685reductive perturbation theorydissipative systemsinvariant manifoldshigher order correctionscontraction mapping. |
| spellingShingle | Hedley C. Morris Derek Sheil Roger Dodd Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems International Journal of Mathematics and Mathematical Sciences reductive perturbation theory dissipative systems invariant manifolds higher order corrections contraction mapping. |
| title | Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems |
| title_full | Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems |
| title_fullStr | Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems |
| title_full_unstemmed | Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems |
| title_short | Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems |
| title_sort | invariant manifolds and alternative approaches to reductive perturbation theory dissipative systems |
| topic | reductive perturbation theory dissipative systems invariant manifolds higher order corrections contraction mapping. |
| url | http://dx.doi.org/10.1155/S0161171284000685 |
| work_keys_str_mv | AT hedleycmorris invariantmanifoldsandalternativeapproachestoreductiveperturbationtheorydissipativesystems AT dereksheil invariantmanifoldsandalternativeapproachestoreductiveperturbationtheorydissipativesystems AT rogerdodd invariantmanifoldsandalternativeapproachestoreductiveperturbationtheorydissipativesystems |