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Nonlinear Dynamical Systems

Dynamical systems describe the evolution of a state variable in time in the form of ordinary differential equations or as discrete mappings. Dynamical systems theory studies the solutions of such equations and mappings and their dependence on  initial conditions and  parameters. Research in nonlinear dynamical systems  in particular is interested in qualitative changes of the solution type as parameters are changed (bifurcations) and in chaotic behavior of solutions. Applications include atmospheric science, the behavior of fluids, social and biological systems.

.Our areas of expertise

Computational fluid dynamics, environmental and geophysical modeling, industrial modeling, complex adaptive systems, and partial differential equations

Name
Dieter Armbruster
Associate Director for Graduate Programs & Professor
 
480-965-5441
  
Steven Baer
Associate Professor
 
480-965-1057
  
Abba Gumel
Professor
 
480-727-2690
Donald Jones
Associate Director for Undergraduate Programs & Associate Professor
 
480-965-0083
  
Eric Kostelich
President's Professor
 
480-965-5006
  
Juan Lopez
Professor
 
480-965-8843
 
Alex Mahalov
Dean's Distinguished Professor
 
480-965-0408
  
Fabio Milner
Director of Mathematics for STEM Education & Professor
 
480-965-5877
  
Mohamed Moustaoui
Associate Professor
 
480-965-6311
 
Hal Smith
Professor
 
480-965-3743
  
Sergei Suslov
Professor
 
480-965-8987
  
Wenbo Tang
Associate Professor
 
480-965-1476
  
Horst Thieme
Professor
 
480-965-4772
  
Bruno Welfert
Associate Professor
 
480-965-9379