Computer Algebra Methods for Equivariant Dynamical Systems
This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems.
The next chapter describes algorithms in invariant theory including many examples and time tables. These techniques are applied in the chapters on symmetric bifurcation theory and equivariant dynamics.
This combination of different areas of mathematics will be interesting to researchers in computational algebra and/or dynamics.
What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
7i degree algebraic group basis with respect Buchberger algorithm center manifold coefficients Cohen-Macaulay compact Lie group Computer Algebra defined Definition denote differential equations dimension Dynamical Systems Editor elements elimination order equilibria equivariant vector field equivariants Example exists exploitation fi(x finite group fixed point space form a Grobner free module given GL(Rn grading Grobner basis Grobner basis detection Grobner basis QB group action group G Hilbert basis Hilbert series driven homogeneous ht(fi ht(fj ideal of relations invariant ring isotropy subgroups leading terms Lemma Lie algebra Lie group Go linear Maple maximal module of equivariants Molien series monomials Nonlinear parameters periodic orbit primary invariants problem quotient ring reduced Grobner basis restriction Reynolds projection S-polynomials secondary invariants semi-simple solutions standard monomials Stanley decomposition structure syzygies term order Theory torus truncated Grobner tuple variables vector field vector space basis W-homogeneous ideal W-homogeneous polynomials weight system zero