The spatiotemporal dynamics of complex systems have been studied traditionally and visualized numerically using high-end computers. However, due to advances in microcontrollers, it is now possible to run what once were considered large-scale simulations using a very small and inexpensive single integrated circuit that can furthermore send and receive information to and from the outside world in real time. In this paper, we show how microcontrollers can be used to perform simulations of nonlinear ordinary differential equations with spatial coupling and to visualize their dynamics using arrays of light-emitting diodes and/or touchscreens. We demonstrate these abilities using three different models: two reaction-diffusion models (one neural and one cardiac) and a generic model of network oscillators. These models are commonly used to simulate various phenomena in biophysical systems, including bifurcations, waves, chaos, and synchronization. We also demonstrate how simple it is to integrate real-time user interaction with the simulations by showing examples with a light sensor, touchscreen, and web browser.
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December 2019
Research Article|
December 09 2019
Simulating waves, chaos and synchronization with a microcontroller
Andrea J. Welsh
;
Andrea J. Welsh
a)
1
School of Physics, Georgia Institute of Technology
, Atlanta, Georgia 30332, USA
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Cristian Delgado;
Cristian Delgado
b)
2
Facultad de Ciencias, Universidad Nacional Autònoma de México
, Distrito Federal 04510, Mexico
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Casey Lee-Trimble;
Casey Lee-Trimble
3
Mount Holyoke College
, South Hadley, Massachusetts 01075, USA
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Abouzar Kaboudian
;
Abouzar Kaboudian
1
School of Physics, Georgia Institute of Technology
, Atlanta, Georgia 30332, USA
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Flavio H. Fenton
Flavio H. Fenton
1
School of Physics, Georgia Institute of Technology
, Atlanta, Georgia 30332, USA
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a)
Electronic mail: awelsh8@gatech.edu
b)
Electronic mail: cjdg@ciencias.unam.mx
Citation
Andrea J. Welsh, Cristian Delgado, Casey Lee-Trimble, Abouzar Kaboudian, Flavio H. Fenton; Simulating waves, chaos and synchronization with a microcontroller. Chaos 1 December 2019; 29 (12): 123104. https://doi.org/10.1063/1.5094351
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