Symmetry in Planar Dynamical Systems
Copyright policy )Symmetry in Planar Dynamical Systems
In the study of dynamical systems, conditions for a critical point to be a centre are often sought. The sufficiency of such conditions is probed using various techniques, here, the authors exploit the possible symmetry of a given system. They describe an application of Gröbner bases in the search for a bilinear transformation of the system to one which is symmetric in a line.
- University of Wales United Kingdom
- Aberystwyth University United Kingdom
Computational Mathematics, Algebra and Number Theory, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, critical point, Symmetries, invariants of ordinary differential equations, planar dynamical system, Gröbner basis, centre, symmetry
Computational Mathematics, Algebra and Number Theory, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, critical point, Symmetries, invariants of ordinary differential equations, planar dynamical system, Gröbner basis, centre, symmetry
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