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Curriculum Vitae (pdf)
Research Interests
[ Research Statement (pdf) ]:
- Dynamical Systems
- Bifurcation Theory
- Dynamics of PDEs and networks
- Pattern Formation
- Nonlinear Waves
- Mathematical Biology, in particular Mathematical Epidemiology
Publications:
- A.N. Comanici, Forced Symmetry Breaking from SO(3) to SO(2) for Rotating Waves on the Sphere, Nonlinearity 19, 999-1019 (2006)
- A.N. Comanici, Transition from Rotating Waves to Modulated Rotating Waves on the Sphere, SIADS 5 (4), 759-782 (2006)
- A.N. Comanici and M. Golubitsky, Patterns on Growing Square Domains via Mode Interactions, Dynamical Systems 23 (2), 167-206 (2008)
- A.N. Comanici, Synchrony-Breaking Period-Doubling Bifurcations for Three-Cell Homogeneous Coupled Maps, Int. Journal of Bifurcation and Chaos (2008)
- A.N. Comanici, Spiral Waves on Spherical Domains : A Dynamical Systems Approach, Ph.D. Thesis, University of Ottawa, Canada (2004)
- A.N. Comanici and J. Burns, Bifurcation Analysis for the Attractor of Chafee-Infante Equation with Parameter-Dependent Boundary Conditions (To be submitted)
- A.N. Comanici-Frent, Mode Interaction (1,1) and (1,0) (In preparation)
- A.N. Comanici-Frent, Synchrony-Breaking "Hopf" Bifurcation for Three-Cell Homogeneous Coupled Maps (In preparation)
- A.N. Comanici-Frent, Interaction of Line Defects in the Period-Doubling for 2D Spiral Waves (In preparation)
Teaching:
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| Virginia Tech |
| Multivariable Calculus |
Fall 2007 |
| Multivariable Calculus |
Spring 2007 |
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| Rice University |
| Differential Equations |
Fall 2006 |
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| University of Houston |
| Differential Equations |
Spring 2006 |
| Linear Algebra |
Spring 2005 |
| Linear Algebra |
Fall 2004 |
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