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Investigation of Center Manifolds of Three-Dimensional Systems Using Computer Algebra

V. G. Romanovskia
M. Mencingerc
B. Fercec
Journal / Anthology

Programming and Computer Software
Year: 2013
Volume: 39
Issue: 2
Page range: 6773

For a family of three dimensional systems with center manifolds filled with closed trajectories (corresponding to periodic solutions of the system) we give criteria on the coefficients of the system to distin guish between the cases of isochronous and nonisochronous oscillations. Bifurcations of critical periods of the system are studied as well. The study is performed using computer algebra systems MATHEMATICA and SINGULAR.

*Mathematics > Algebra