Rigorous continuation of bifurcation points in the diblock copolymer equation

62. Jean-Philippe Lessard, Evelyn Sander, Thomas Wanner:
    Rigorous continuation of bifurcation points in the diblock copolymer equation
    Journal of Computational Dynamics 4(1-2), pp. 71-118, 2017.

Abstract

We develop general methods for rigorously computing continuous branches of bifurcation points of equilibria, specifically focusing on fold points and on pitchfork bifurcations which are forced through $\mathbb{Z}_2$ symmetries in the equation. We apply these methods to secondary bifurcation points of the one-dimensional diblock copolymer model.

Links

The published version of the paper can be found at https://doi.org/10.3934/jcd.2017003.

Bibtex

@article{lessard:sander:wanner:17a,
   author = {Jean-Philippe Lessard and Evelyn Sander and Thomas Wanner},
   title = {Rigorous continuation of bifurcation points in the diblock
            copolymer equation},
   journal = {Journal of Computational Dynamics},
   volume = {4},
   number = {1--2},
   year = {2017},
   pages = {71--118},
   doi = {10.3934/jcd.2017003}
   }