Cupolets: History, Theory, and Applications
Matthew A. Morena and Kevin M. Short, Cupolets: History, Theory, and Applications, Dynamics, 4(2), pp. 394-424 (2024)
Curriculum Vitae
Employment
- Associate Professor, Department of Mathematics, Christopher Newport University
- May 2024 - Present
- Assistant Professor, Department of Mathematics, Christopher Newport University
- August 2017 - May 2024
- Assistant Professor, Department of Mathematics, Young Harris College
- August 2014 - June 2017
Education
- Ph.D in Applied Mathematics, University of New Hampshire, 2014
- Advisor: Kevin Short
- M.A. in Mathematics, University of Virginia, 2009
- Advisors: Kevin McCrimmon, Larry Thomas
- M.S. in Applied Mathematics, North Carolina State University, 2007
- Advisor: John Franke
- B.S. in Mathematics, Washington and Lee Unviversity, 2005
- Advisor: Brendan Weickert
Publications
The Euclidean Discus Toss
Matthew A. Morena and Michael D. Smith, The Euclidean Discus Toss, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 33(10), pp. 1071-1090 (2023).
Chaotic Entanglement: Entropy and Geometry
Matthew A. Morena and Kevin M. Short, Chaotic Entanglement: Entropy and Geometry, Entropy, 23(10), p. 1254 (2021).
Fundamental cupolets of chaotic systems
Matthew A. Morena and Kevin M. Short, Fundamental cupolets of chaotic systems, Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(9), p. 093114 (2020).
Signatures of Quantum Mechanics in Chaotic Systems
Kevin M. Short and Matthew A. Morena, Signatures of Quantum Mechanics in Chaotic Systems, Entropy, 21(6), p. 618 (2019).
Video Made the Calculus Star
Matthew A. Morena, Shelly Smith, and Robert Talbert, Video Made the Calculus Star, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 29(1), pp. 43-55 (2018).
Mutual stabilization of chaotic systems through entangled cupolets.
Matthew A. Morena, Mutual stabilization of chaotic systems through entangled cupolets, Ph.D. Thesis, [Order No. 3581216], University of New Hampshire, Durham, NH, USA (2014).
On the Potential for Entangled States Between Chaotic Systems
Matthew A. Morena and Kevin M. Short, On the Potential for Entangled States Between Chaotic Systems, International Journal of Bifurcation and Chaos, 24(6), p. 1450077 (2014).
Controlled transitions between cupolets of chaotic systems
Matthew A. Morena, Kevin M. Short, and Erica E. Cooke, Controlled transitions between cupolets of chaotic systems, Chaos: An Interdisciplinary Journal of Nonlinear Science, 24(1), p. 013110 (2014).
Predicting attenuant and resonant 2-cycles in periodically forced discrete-time two-species population models
Matthew A. Morena and John E. Franke, Predicting attenuant and resonant 2-cycles in periodically forced discrete-time two-species population models, Journal of Biological Dynamics, 6(2), pp. 782-812 (2012).
Presentations
The Mutual Stabilization of Chaotic Systems and its Entropy
Invited Speaker at Thermodynamics and Entropy Research eConference, Virtual
Exploring Chaotic Motion with Short-Time Expansion Rates Permalink
Conference Presentation at Dynamics Days Conference, Denver, CO, USA
Predicting Bird Populations Using the Fractal Dimension of Forest Canopies Permalink
Student Presentation at Joint Mathematics Meetings, Seattle, WA, USA
Toward a Replicable Operating Model for Community-Engaged Applied Mathematics Courses Permalink
Conference Presentation at SIAM Conference on Applied Mathematics Education, Cleveland, OH, USA
Haimo Award Acceptance Talk
Award Ceremony at MAA MathFest, Boston, MA, USA
Teaching
Awards and Fellowships
- Tidewater Faculty Fellowship, Christopher Newport University, 2024
- Honors Seminar Development Grant, Christopher Newport University, 2021
- Project NExT Fellow (Red ‘15), Mathematical Association of America, 2015-2016
- Dissertation Year Fellowship, University of New Hampshire, 2013-2014
- Summer Teaching Assistant Fellowship, University of New Hampshire, 2013
- Dynamics Days Conference Travel Grant, 2013
- GAANN Fellowship, University of Virginia, 2007-2009
Skills
- Programming Languages:
- Python
- MATLAB
- Mathematica
- Tools:
- LaTeX
- Git/GitHub