I work in dynamical systems, mainly from a topological viewpoint. I am researching biological oscillators and networks with John Harer.

Office Location: | (274E) Physics |

Office Phone: | (919)-660-2855 |

Email Address: | |

Web Page: | http://www.math.duke.edu/~mjenista/ |

Starting Year: |
2005 |

Advisor(s): |
John Harer |

**Education:**MS Duke 2007

**Specialties:**-
Topology

Applied Math

**Research Interests:***dynamical systems, networks, Morse theory, Conley index***Current projects:**biological oscillators, transcription networksI am currently working on the application of the Conley Index to biological dynamics. The Conley Index is a generalization of Morse Theory, and lends itself to computer work. I am employing software developed by Konstantin Mischaikow, Pawel Pilarczyk, Marian Mrozek, and others to study dynamical changes in coupled oscillator networks over various parameter ranges.

**Areas of Interest:**dynamical systems

dynamics

morse theory

conley index

networks

**Keywords:**dynamical systems • dynamics • morse theory • conley index • networks