Universal Phenomena in Solution Bifurcations of Some Boundary Value Problems

DOI

10.2991/jnmp.1994.1.2.2How to use a DOI?

Abstract

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.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Alexander Sharkovsky
AU  - Andrij Sivak
PY  - 1994
DA  - 1994/05/01
TI  - Universal Phenomena in Solution Bifurcations of Some Boundary Value Problems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 147
EP  - 157
VL  - 1
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1994.1.2.2
DO  - 10.2991/jnmp.1994.1.2.2
ID  - Sharkovsky1994
ER  -