Dynamical Systems Magazine

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Engineered for Function: The Power of...

Engineered for Function: The Power of...

Charles B. Delahunt, Charles Fieseler, and J. Nathan Kutz report on two bio-inspired models for neurosensory integration that are constructed using data-driven modeling methods. One model is for olfactory processing of the Manduca sexta moth. The other model captures functioning of Caenorhabditis elegans. These organisms use different network architectures for functionality: Manduca sexta moth uses a large, randomly-connected network for sensory information  processing and learning; Caenorhabditis elegans, on the other hand, functions on a small, stereotyped connectivity graph.  
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A Fast-Slow Dynamical System Model to Study Drug Addiction

A Fast-Slow Dynamical System Model to Study Drug Addiction

Dynamical systems play an important role in modeling of a variety of cyclical processes in natural and manmade systems. In particular, they can be used to help to understand the mechanisms of drug addiction. Karthika Swamy Cohen tells about a recent  paper published in SIAM Journal on Applied Dynamical Systems, where the authors Jacob Duncan, Teresa Aubele-Futch, and Monica McGrath use a fast-slow dynamical system model to analyze the interplay between levels of mood and craving in a patient with an addictive disorder. 

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Four Decades of Kink Interactions in Nonlinear...

Four Decades of Kink Interactions in Nonlinear...

P. G. Kevrekidis (kevrekid (at) math.umass.edu) and R. H. Goodman summarize the history and recent developments in the field of kink interactions in nonlinear Klein-Gordon models in 1+1-dimensions. Read full article...


Red Sock Award for Best Posters at DS19

Red Sock Award for Best Posters at DS19

Andrew Bernoff writes about the Red Sock Award for the best poster presentations in dynamical systems by a student or postdoc at the SIAM Conference on Applications of Dynamical Systems, 2019. Read full article...


The Value of Collaboration and Networking for Female...

The Value of Collaboration and Networking for Female...

Lina Sorg ([email protected]) reports on a presentation by Dr. Fengyan Li of Rensselaer Polytechnic Institute at the 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), Valencia, Spain, where Fengyan Li  shared firsthand accounts of her personal collaborative efforts and networking experiences. Read full article...


Math in Our Lives: Dynamical Systems

Math in Our Lives: Dynamical Systems

SIAM has released an explanatory video to introduce and briefly describe applied dynamical systems. Read full article...


Temporal Clustering in Cell Cycle Dynamics

Temporal Clustering in Cell Cycle Dynamics

Todd Young, Kiattisak Prathom, and Jan Rombouts present a review of the results on cell cycle dynamics and clustering in yeast. The review is based on the recent work by the authors themselves, as well as on the publications by Balázs Bárány, Erik Boczko, Nathan Breitsch, Xue Gong, Richard Buckalew, Bastien Fernandez, Tomas Gedeon, Luke Morgan, Gregory Moses, and Alexander Neiman. Read full article...


The Quadfurcation

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.

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Spatio-Temporal Patterns of Rioting Activity: A...

Spatio-Temporal Patterns of Rioting Activity: A...

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


May the Piecewise-smooth, Smooth, and Slow-fast Plankton...

May the Piecewise-smooth, Smooth, and Slow-fast Plankton...

Sofia Piltz discusses developing models for plankton blooms. Read full article...


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