Spatial Non-homogeneous Invariant Tori in the Multiplier-Accelerator Model
In this paper we introduce a boundary value problem based on the well known Multiplier-Accelerator model proposed by Paul Samuelson which is an extension of the works of John Keynes. The suggested boundary value problem is to consider spatial effects when studying processes of macroeconomics. For th...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2008-03-01
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| Series: | Моделирование и анализ информационных систем |
| Online Access: | https://www.mais-journal.ru/jour/article/view/975 |
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| _version_ | 1849240842060955648 |
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| author | E. V. Korshunova A. N. Kulikov |
| author_facet | E. V. Korshunova A. N. Kulikov |
| author_sort | E. V. Korshunova |
| collection | DOAJ |
| description | In this paper we introduce a boundary value problem based on the well known Multiplier-Accelerator model proposed by Paul Samuelson which is an extension of the works of John Keynes. The suggested boundary value problem is to consider spatial effects when studying processes of macroeconomics. For the boundary value problem given, using the Invariant Manifolds method, the method of Averaging and the Theory of Normal Forms we show the existence of stable spatial non-homogeneous invariant tori. |
| format | Article |
| id | doaj-art-eb02efeef60446c185b0e475b258edb4 |
| institution | Kabale University |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2008-03-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-eb02efeef60446c185b0e475b258edb42025-08-20T04:00:25ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172008-03-011514550716Spatial Non-homogeneous Invariant Tori in the Multiplier-Accelerator ModelE. V. Korshunova0A. N. Kulikov1Ярославский государственный университетЯрославский государственный университетIn this paper we introduce a boundary value problem based on the well known Multiplier-Accelerator model proposed by Paul Samuelson which is an extension of the works of John Keynes. The suggested boundary value problem is to consider spatial effects when studying processes of macroeconomics. For the boundary value problem given, using the Invariant Manifolds method, the method of Averaging and the Theory of Normal Forms we show the existence of stable spatial non-homogeneous invariant tori.https://www.mais-journal.ru/jour/article/view/975 |
| spellingShingle | E. V. Korshunova A. N. Kulikov Spatial Non-homogeneous Invariant Tori in the Multiplier-Accelerator Model Моделирование и анализ информационных систем |
| title | Spatial Non-homogeneous Invariant Tori in the Multiplier-Accelerator Model |
| title_full | Spatial Non-homogeneous Invariant Tori in the Multiplier-Accelerator Model |
| title_fullStr | Spatial Non-homogeneous Invariant Tori in the Multiplier-Accelerator Model |
| title_full_unstemmed | Spatial Non-homogeneous Invariant Tori in the Multiplier-Accelerator Model |
| title_short | Spatial Non-homogeneous Invariant Tori in the Multiplier-Accelerator Model |
| title_sort | spatial non homogeneous invariant tori in the multiplier accelerator model |
| url | https://www.mais-journal.ru/jour/article/view/975 |
| work_keys_str_mv | AT evkorshunova spatialnonhomogeneousinvarianttoriinthemultiplieracceleratormodel AT ankulikov spatialnonhomogeneousinvarianttoriinthemultiplieracceleratormodel |