Universal Phenomena in Solution Bifurcations of Some Boundary Value Problems
作者:
Alexander Sharkovsky,
Andrij Sivak,
期刊:
Journal of Nonlinear Mathematical Physics
(Taylor Available online 1994)
卷期:
Volume 1,
issue 2
页码: 147-157
ISSN:1402-9251
年代: 1994
DOI:10.2991/jnmp.1994.1.2.2
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
We show that for a class of boundary value problems, the space of initial functions can be stratified dependently on the limit behavior (as the time variable tends to infinity) of solutions. Using known results on universal phenomena appearing in bifurcations of one parameter families of one-dimensional maps, we establish that, for certain types of boundary value dependence, a similar quantitative and qualitative universality is also observed in the stratification and bifurcations of solutions.
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