Research Interests

 

  •  Dynamical Systems , Bifurcation Theory
  •  Dynamics of PDEs and networks
  •  Pattern Formation
  •  Nonlinear Waves
  •  Mathematical Biology (Epidemiology)

 

 Here are CV and my research statement. 

 

Publications

  • A. Comanici and M. Golubitsky, Patterns on Growing Square Domains via Mode Interactions, Dynamical Systems  23 (2), 167-206 (2008)
  • A. Comanici, Synchrony-Breaking Period-Doubling Bifurcations for Three-Cell Homogeneous Coupled Maps, Int. Journal of Bifurcation and Chaos (2008)
  • A. Comanici and J. Burns,  Bifurcation Analysis for the Attractor of Chafee-Infante Equation with Parameter-Dependent Boundary Conditions (2008) (Submitted)
  • A. Comanici,  Forced Symmetry Breaking from SO(3) to SO(2) for Rotating Waves on the Sphere, Nonlinearity 19, 999-1019 (2006)
  •  A. Comanici, Transition from Rotating Waves to Modulated Rotating Waves on the Sphere, SIADS 5 (4), 759-782 (2006)
  • A. Comanici, Spiral Waves on Spherical Domains : A Dynamical Systems Approach, Ph.D. Thesis, University of Ottawa, Canada (2004)

 

Preprints

  • A. Comanici-Frent and R. Kao, Balanced Colorings adn Quotient Networks for the Network of Livestock Movements in the UK (2008) (To be Submitted)
  • A. Comanici-Frent and R. Kao, Epidemiological Network Dynamics for  the Network of Livestock Movements  in the UK (2208) (To be submitted)
  • A. Comanici-Frent, Mode Interaction (1,1) and (1,0)  (To be submitted)
  • A. Comanici-Frent, Synchrony-Breaking "Hopf" Bifurcation for Three-Cell Homogeneous Coupled Maps (To be submitted)
  • A. Comanici-Frent,  Interactions and Bifurcations of Line Defects in the Period-Doubling for 2D Spiral Waves (In preparation)
  • A. Comanici-Frent and R. Kao, Disease Contact Tracing and Surveillance in Random and Clustered Networks  via Stochastic Moment Closure Models (In preparation)
  • A. Comanici-Frent and R. Kao, Controling Infectious Diseases via Game Theory (In preparation)

  

Teaching

 

 Virginia Tech 

            Multivariable Calculus       Fall 2007
               Multivariable Calculus       Spring 2007

Rice University 

         Differential Equations         Fall 2006

University of Houston

               Differential Equations       Spring 2006

                Linear Algebra                Spring 2005 
          Linear Algebra                Fall 2004
    

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