BYU

Abstract by Wesley Stevens

Personal Infomation


Presenter's Name

Wesley Stevens

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

None

Abstract Infomation


Department

Mathematics

Faculty Advisor

Ben Webb

Title

The Stability of Synchronization in Networks with Time-Delays

Abstract

Synchronization is an emergent property that occurs in a broad range of dynamical systems, including neural signaling, the beating of the heart and fire-fly light waves. By incorporating time-delays, these synchronizations become increasingly chaotic and unstable. We study the network conditions for which the systems state converge to its synchronization manifold in the presence of time-delays.