Understanding Sensory Induced Hallucinations

Rachel Nicks explains how visual hallucinations can emerge as spatiotemporal dynamics of neuronal networks described by amplitude equations.

Spiral Waves in Oscillatory Media with Nonlocal Coupling

Gabriela Jaramillo from the University of Houston demonstrates, for a general oscillatory model with nonlocal coupling, the existence of spiral waves by first deriving an amplitude equation, then using the methods of multiple scales to identify terms in the spiral wave solutions to multiple orders, and finally numerically showing how nonlocal interactions shape the spirals.

New SIAM Fellows Include Dynamical Systems Experts

Six members of the SIAM Dynamical Systems Activity Group are inducted as 2022 SIAM Fellows.

MGB-SIAM Early Career (MSEC) Fellowship Applications Open

MGB-SIAM Early Career (MSEC) Fellowship Launch.

DSWeb 2019 Contest – Tutorials on Dynamical Systems Software

DSWeb invites students and faculty to enter its 2019 competition for software tutorials on dynamical systems theory and its applications.

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.

Spatio-Temporal Patterns of Rioting Activity: A Reaction-Diffusion Approach

Berestycki, Nadal, and Rodríguez introduced and analyzed some systems of partial differential equations that serve as basic models for the spread of rioting activity. 

Red Sock Awards Awarded to Best Snowbird Posters

Five students were presented with the Red Sock Award for the best poster presentations at Snowbird Conference on Dynamical Systems in May. Along with a pair of red socks, each awardee received a $100 prize. We highlight the winners and give you the opportunity to look at their award-winning work.