​General research themes

  • Theoretical aspects of nonlinear dynamics and pattern formation PDF1
  • Modeling complex systems with a current focus on water-limited ecosystems PDF1​PDF2 
  • Linking pattern formation to spatial ecology, addressing the relationships between the physical environment, biodiversity and ecosystem function PDF1​, PDF2, PDF3
Studies in the group involve mathematical modeling, mathematical analysis of model equations, numerical model studies, and close interactions with ecologists.
Recent and ongoing research projects

Pattern formation
  • Pattern forming systems subjected to spatial periodic forcing. PDF1, PDF2, PDF3
  • Applications of spatial forcing to the CDIMA chemical reaction​. PDF1, PDF2​
  • Dual-mode ​localized structures​ and spatio-temporal chaos. PDF1, PDF2
  • Localized oscillations in inhomogeneous periodically forced oscillatory medium​ (motivated by the hearing phenomenon and the dynamics of the inner ear's cochlea​).
Modeling complex systems
  • Coupled dynamics of biogenic-crusts and vegetation. PDF1, PDF2​
  • Modeling the dynamics of large plant communities. PDF​1, PDF2​
  • Modeling multiple cropping systems 
Spatial Ecology
  • Gradual desertification. PDF1, PDF2, PDF3​
  • Fairy circles as a pattern formation phenomenon. PDF1, PDF2​, LINK​
  • Interplay between competing pattern formation mechanisms in dryland vegetation. PDF
  • Vegetation pattern formation in heterogeneous environments. PDF
  • Pattern formation mechanisms for species coexistence. PDF1, PDF2
  • Revesring desertification as a spatial resonance problem. PDF​
  • Linking functional diversity to environmental variability. PDF​
  • Ecological integrity from a dynamical systems point of view