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Meiss, James D Professor

Positions

Research Areas research areas

Research

research overview

  • James Meiss has published 122 refereed articles and four books. His research is on Hamiltonian, symplectic and volume preserving dynamics, the transition to chaos, the theory of transport, and computational topology. Problems studied include the break-up of invariant tori in conservative systems, the structure of tangles in stable and unstable manifolds, transport in a dynamical system through a complex mixture of regular and chaotic regions, quantifying and optimizing mixing in laminar, time-dependent fluids, and categorizing the topological properties of simplicial complexes approximating the invariant sets and motion of a dynamical system.

keywords

  • dynamical systems, Hamiltonian and Volume preserving dynamics, transition to chaos, transport and mixing, piecewise smooth dynamics and bifurcations, nonautonomous dynamics, computational topology

Publications

selected publications

Teaching

courses taught

  • APPM 6950 Master's Thesis (Spring 2019)
  • APPM 7900 Independent Study (Spring 2019)
  • APPM 8100 Seminar in Dynamical Systems (Spring 2019)
  • APPM 8990 Doctoral Dissertation (Spring 2019)
  • APPM 4840 Reading and Research in Applied Mathematics (Fall 2018)
  • APPM 6950 Master's Thesis (Fall 2018)
  • APPM 8100 Seminar in Dynamical Systems (Fall 2018)
  • APPM 8990 Doctoral Dissertation (Fall 2018)
  • APPM 8990 Doctoral Dissertation (Summer 2018)
  • APPM 4450 Undergraduate Applied Analysis 2 (Spring 2018)
  • APPM 5460 Methods in Applied Mathematics: Dynamical Systems and Differential Equations (Spring 2018)
  • APPM 6950 Master's Thesis (Spring 2018)
  • APPM 7900 Independent Study (Spring 2018)
  • APPM 8100 Seminar in Dynamical Systems (Spring 2018)
  • APPM 8990 Doctoral Dissertation (Spring 2018)

Background

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