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Towards Model Based Control

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Seminar✓ Recording AvailablePhysics of Life

Towards model-based control of active matter: active nematics and oscillator networks

Michael Norton

Dr.

Rochester Institute of Technology

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Sunday, January 30, 2022

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Sunday, January 30, 2022

9:00 AM America/Los_Angeles

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Host: SLAAM by UC Merced

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Abstract

The richness of active matter's spatiotemporal patterns continues to capture our imagination. Shaping these emergent dynamics into pre-determined forms of our choosing is a grand challenge in the field. To complicate matters, multiple dynamical attractors can coexist in such systems, leading to initial condition-dependent dynamics. Consequently, non-trivial spatiotemporal inputs are generally needed to access these states. Optimal control theory provides a general framework for identifying such inputs and represents a promising computational tool for guiding experiments and interacting with various systems in soft active matter and biology. As an exemplar, I first consider an extensile active nematic fluid confined to a disk. In the absence of control, the system produces two topological defects that perpetually circulate. Optimal control identifies a time-varying active stress field that restructures the director field, flipping the system to its other attractor that rotates in the opposite direction. As a second, analogous case, I examine a small network of coupled Belousov-Zhabotinsky chemical oscillators that possesses two dominant attractors, two wave states of opposing chirality. Optimal control similarly achieves the task of attractor switching. I conclude with a few forward-looking remarks on how the same model-based control approach might come to bear on problems in biology.

Topics

Belousov-Zhabotinsky oscillatorsactive matteractive nematicsactive stress fieldattractor switchingdirector fieldoptimal control theoryspatiotemporal patternstopological defects

About the Speaker

Michael Norton

Dr.

Rochester Institute of Technology

Contact & Resources

Personal Website

mmnorton.com

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