Self-stochasticity in deterministic boundary value problems
This paper presents the experience of applying dynamical systems theory to an investigation into nonlinear boundary value problems for partial differential equations (PDE for short) in the case that their solutions become chaotic with time. To describe the long time behavior of such solutions, the c...
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| Date: | 1999 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
1999
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| Series: | Нелинейные граничные задачи |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/169290 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Self-stochasticity in deterministic boundary value problems / E.Yu. Romanenko, A.N. Sharkovsky, M.B. Vereikina // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 174-184. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | This paper presents the experience of applying dynamical systems theory to an investigation into nonlinear boundary value problems for partial differential equations (PDE for short) in the case that their solutions become chaotic with time. To describe the long time behavior of such solutions, the concept of self-stochasticity had been suggested. The results reported in this work are concerned linear systems of PDE with nonlinear boundary conditions; general ideas on the manner in which chaotic solutions may be described are set forth by the example of several simplest boundary value problems. |
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