1997 Fiscal Year Final Research Report Summary
Theoretical Study of Chaotiic Phenomena of Non-invertible Sysytems
| Project/Area Number |
08454045
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | TOKYO METROPOLITAN UNIVERSITY |
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Principal Investigator |
AOKI Nobuo TOKYO METROPOLITAN UNIVERSITY,Graduate School of Science, Professor, 理学研究科, 教授 (60087020)
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| Co-Investigator(Kenkyū-buntansha) |
HIRATA Masaki TOKYO METROPOLITAN UNIVERSITY,Graduate School of Science, Assistant Professor, 理学研究科, 助手 (70254141)
YAMASHITA Shinji TOKYO METROPOLITAN UNIVERSITY,Graduate School of Science, Associate Professor, 理学研究科, 助教授 (30087019)
TAKAI Hiroshi TOKYO METROPOLITAN UNIVERSITY,Graduate School of Science, Associate Professor, 理学研究科, 助教授 (60110847)
NISHIOKA Kunio TOKYO METROPOLITAN UNIVERSITY,Graduate School of Science, Associate Professor, 理学研究科, 助教授 (60101078)
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| Project Period (FY) |
1996 – 1997
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| Keywords | non-equilibrium / media / Ginzbrug-Landau equation / stability / Axiom A / strong transversality / inverse |
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| Research Abstract |
Recently many chain and lattice models of non-equilibrium media have been of great interest. It is known that some types of motions of non-equilibrium media can be described by a space and time-discreate version of the Ginzburg-Landau equation. In the case of one-component and one-dimensional media this leads to the equation
u_j(n+1)=f(u_j(n))*g({u_i(n)}^<j+g>_-g)n, j*Z,
where f nd g are C^2-maps and u_j(n)*R^d.
In order to study stability of motions in lattice models of this type, we gave an answer for the following question which was remained as a major open problem : "Axiom A endomorphisms with strong transversarity are inverse limit stable"
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