• Applied dynamical systems,  nonlinear partial differential equations
• Traveling waves
•  Nonlinear stability of traveling waves
•  Singularly perturbed systems.

• Stability  of fronts in reaction-diffusion systems with unstable and marginally stable essential spectrum.
  
• Stability of fronts in porous media combustion model
• Multiplicity of regimes  in a combustion model

Work Folder:

Current research is sponsored by NSF GRANT DMS-0908009.

Publications

Dynamical Systems Working Group of the Research Triangle Park: In 2005-2008, I was participating in the work of the Dynamical Systems Working Group of the Research Triangle (recently featured in DSWeb - Dynamical Systems Magazine ). The group combines faculty, post-docs and students with backgrounds in dynamical systems. We meet regularly to discuss various problems of common interest. Members of the group (2005-2008):

Faculty: Chris K.R.T. Jones, Xiao-Biao Lin, Steve Schecter, Michael Shearer
Post-docs and students: Anna Ghazaryan, Vahagn Manukian, Monique Taylor



Applied Dynamical Systems research group at UNC-Chapel Hill
For a description of activities of a research group formed from students and post-docs of Chris Jones at UNC and SAMSI visit the site of the  Applied Dynamical Systems research group at UNC-Chapel Hill.

The Dynamical Systems Group at NC State University
Picture below is from the article DSWeb - Dynamical Systems Magazine about  the Dynamical Systems Group  at  NC State University written by Steve Schecter. From left: John Franke, Vahagn Manukian, David Long, Ming Jiang, Dmitry Zenkov, and I.