Fitting maps of the plane to experimental data
Copyright policy )Fitting maps of the plane to experimental data
The author makes interesting use of the braid groups to study the problem of finding a 1-parameter family of diffeomorphisms of the plane having a prescribed (or observed) effect on a finite set of points in the plane. More generally, the author shows in certain cases when a parameterized set of such effects admits a similarly parameterized set of diffeomorphisms having such effects.
- University of Western Australia Australia
General low-dimensional topology, diffeomorphisms, Differential topological aspects of diffeomorphisms, flow, Manifolds of solutions of ODE, braid groups, fitting data, Nonlocal and multipoint boundary value problems for ordinary differential equations
General low-dimensional topology, diffeomorphisms, Differential topological aspects of diffeomorphisms, flow, Manifolds of solutions of ODE, braid groups, fitting data, Nonlocal and multipoint boundary value problems for ordinary differential equations
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