Review of "Modeling, Analysis and Control of Dynamical Systems with Friction and Impacts" by Pawel Olejnik, Jan Awrejcewicz and Michal Fečkan

Alan Champneys reviews the book "Modeling, Analysis and Control of Dynamical Systems with Friction and Impacts" by Pawel Olejnik, Jan Awrejcewicz and Michal Fečkan.

The 12th AIMS conference on Dynamical Systems, Differential Equations and Applications

A report from the 12th AIMS conference on Dynamical Systems, Differential Equations and Applications was held in Taipei, Taiwan, from July 5 to July 9, 2018, by Maurizio Grasselli (Politecnico di Milano).

SIAM DS 2021 is moving to Portland!

Andrew J. Bernoff, Chair DS SIAG, talks about the new location for the SIAM DS 2021 conference.

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.