DSWeb 2019 Contest – Tutorials on Dynamical Systems Software

SIAM DS 2021 is moving to Portland!

The Quadfurcation

Quadfurcation is a bifurcation when four fixed points are created from none at a single location in phase space upon variation of one parameter. This bifurcation is not at all well studied in dynamical systems literature. In this paper Bäcker and Meiss put forth that the quadfurcation is an organizing center for the dynamics of a four-dimensional map, the quadratic diffeomorphism introduced by Moser in 1994.

Multiphase Solutions to the Vector Allen-Cahn Equation

Bates, Fusco, and Smyrnelis present a systematic study of entire symmetric solutions of the vector Allen-Cahn equation using a variational approach based on a mapping property of the parabolic vector Allen-Cahn equation and on a point-wise estimate for vector minimizers. The relevance of the the entire solutions  to tiling of space observed in physical experiments is also discussed.

Recently Published Books in Dynamical Systems

Here is a list of some of the recently published books in dynamical systems. Should you be interested in reviewing one of these, or any other book that you think would be useful, please contact the book reviews editor (James Meiss; jdm (at) colorado.edu).