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Article: Investigators at University of Texas release new data on dynamic systems.
- Article from:
- Journal of Technology
- Article date:
- December 16, 2008
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According to recent research from the United States, "We extend the renormalization group techniques that were developed originally for Hamiltonian flows to more general vector fields on T-d x R-l."
"Each Diophantine vector omega is an element of R-d determines an analytic manifold W of infinitely renormalizable vector fields, and each vector field on W is shown to have an elliptic invariant d-torus with frequencies omega(1), omega(2), ..., omega(d). Analogous manifolds for particular classes of vector fields (Hamiltonian, divergence-free, symmetric, reversible) are obtained simply by restricting W to the corresponding subspace," wrote H. Koch and colleagues, ...