Presentation Title
Chimera States in a Coupled Oscillator Model of the Mouse Brain
Abstract
The multistable coexistence of coherence and incoherence in a network of coupled oscillators is a well-studied mathematical phenomenon called a chimera state. Recently, researchers have studied the presence of chimera states in brain models of cats. By sweeping through values of various parameters of the neural model in question, one can determine the basins of attraction of certain types of chimera states. In this work, we investigate the parameter landscape leading to chimera-like states in a network implementation of the Hindmarsh-Rose neuronal model on a mouse connectome. We also investigate the aggregate behavior of the oscillators in the network as the chimera states collapse into total synchrony.
Primary Faculty Mentor Name
Christopher M. Danforth
Secondary Mentor Name
J. Matt Mahoney, Peter Sheridan Dodds
Status
Undergraduate
Student College
College of Arts and Sciences
Program/Major
Physics
Second Program/Major
Mathematical Sciences
Primary Research Category
Engineering & Physical Sciences
Secondary Research Category
Health Sciences
Chimera States in a Coupled Oscillator Model of the Mouse Brain
The multistable coexistence of coherence and incoherence in a network of coupled oscillators is a well-studied mathematical phenomenon called a chimera state. Recently, researchers have studied the presence of chimera states in brain models of cats. By sweeping through values of various parameters of the neural model in question, one can determine the basins of attraction of certain types of chimera states. In this work, we investigate the parameter landscape leading to chimera-like states in a network implementation of the Hindmarsh-Rose neuronal model on a mouse connectome. We also investigate the aggregate behavior of the oscillators in the network as the chimera states collapse into total synchrony.