James Meiss has published 142 refereed articles, 41 reports, 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 geometry of symplectic dynamics, 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 fluid flows, convergence of Birkhoff averages, studying transport, symmetry, and structure for particles in magnetic fields for fusion devices, and categorizing the topological properties of simplicial complexes approximating the invariant sets and of a dynamical system for such applications as prediction of solar flares and swarming of bacteria.
keywords
dynamical systems, Hamiltonian dynamics, volume preserving dynamics, transition to chaos, transport and mixing, piecewise smooth bifurcations, nonautonomous dynamics, computational topology, plasma physics
Advances in Intelligent Data Analysis XVI.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).
2017
