Global Branches of Multi-Bump Periodic Solutions of the Swift-Hohenberg Equation.

Autor: van den Berg, G. J. B., Peletier, L. A., Troy, W. C.
Zdroj: Archive for Rational Mechanics & Analysis; Jun2001, Vol. 158 Issue 2, p91-153, 63p
Abstrakt: In this paper we study the existence of single- and multi-bump periodic solutions of a class of fourth order ordinary differential equations arising in problems of pattern formation. Measuring the tendency to form patterns by a parameter q∈ℝ, we view the problem as a nonlinear eigenvalue problem. With the use of analytical as well as numerical methods, branches of periodic solutions are investigated, both locally and globally. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index