Investigation of Center Manifolds of Three-Dimensional Systems Using Computer Algebra -- from Wolfram Library Archive

Title

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

Authors

V. G. Romanovskia

M. Mencingerc

B. Fercec

Journal / Anthology

Programming and Computer Software

Year:

2013

Volume:

Issue:

Page range:

67�73

Description

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.

Subject

Mathematics > Algebra

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