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Matthew Morena

I am a fifth-year graduate student in the Integrated Applied Mathematics Program at the University of New Hampshire. My interests include dynamical systems, unstable periodic orbits, theory of chaotic systems, and applications of nonlinear systems in the physical sciences, including population biology.

Research

My current research is with Professor Kevin Short, addressing applications of periodic orbit theory in chaotic systems and investigating its potential connections and analogs within quantum mechanics. Our main analytical tool is a chaotic system's set of cupolets, which are essentially highly-accurate approximations of the unstable periodic orbits of chaotic systems.

For this 2013-2014 academic year, I am supported through a Dissertation Year Fellowship and will not be teaching either the fall or spring semesters.

Publications and Preprints

Morena, Matthew A. and John E. Franke. "Predicting Attenuant and Resonant 2-Cycles in Periodically Forced Discrete-Time Two-Species Population Models."Journal of Biological Dynamics 6, no. 2 (2012): 782-812.
Morena, Matthew and Kevin Short. "Cupolets and a Chaotic Analog of Entanglement." arXiv preprint arXiv:1302.2283 (2013).
Morena, Matthew and Kevin Short. "On the Potential for Entangled States Between Chaotic Systems." International Journal of Bifurcation and Chaos (2013, in review).
Matthew Morena, Kevin Short, and Erica Cooke. "Controlled Transitions Between Cupolets of Chaotic Systems" (2013, in preparation).
Matthew Morena and Kevin Short. "Fundamental Cupolets of Chaotic Systems" (2013, in preparation).