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| 1. |
Target Patterns and Horseshoes from a Perturbed Central‐Force Problem: Some Temporally Periodic Solutions to Reaction‐Diffusion Equations |
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Studies in Applied Mathematics,
Volume 64,
Issue 1,
1981,
Page 1-56
N. Kopell,
L. N. Howard,
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摘要:
Existence and construction of some time‐periodic solutions of a class of reaction‐diffusion equations is described. These give examples of center‐structures from which emanate trains of waves with outward directed group velocity, in an infinite one‐dimensional spatial domain. A discrete set of distinct types of center‐structures is found. Similar results are found for sufficiently large finite regions with impermeable boundaries. The existence of many other time periodic solutions corresponding to spatially infinite irregular arrays of center‐structures of different types is also demonstrated for these systems. Some numerical examples ar
ISSN:0022-2526
DOI:10.1002/sapm19816411
年代:1981
数据来源: WILEY
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| 2. |
The Instability of Nonmonotonic Wave Solutions of Parabolic Equations |
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Studies in Applied Mathematics,
Volume 64,
Issue 1,
1981,
Page 57-88
Patrick S. Hagan,
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摘要:
We consider the class of equationsut=f(uxx, ux, u) under the restriction that for alla,b,c. We first consider this equation over the unbounded domain − ∞
ISSN:0022-2526
DOI:10.1002/sapm198164157
年代:1981
数据来源: WILEY
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| 3. |
Eulerian Binomial Type Revisited |
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Studies in Applied Mathematics,
Volume 64,
Issue 1,
1981,
Page 89-93
David L. Reiner,
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摘要:
George Andrew's theory of Eulerian binomial type [1] is shown to be a slight variation of Mullin and Rota's binomial type [4]by using ideas of Fillmore and Williamson [3]. Finally, a hint at some combinatorial interpretations of this theory is given.
ISSN:0022-2526
DOI:10.1002/sapm198164189
年代:1981
数据来源: WILEY
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Volume 64 issue 1