Linearizablity of 1: -3 resonant system with homogeneous cubic nonlinearities

Authors:
Zhibek Kadyrsizova;Valery G. Romanovski
Affiliations:
al-Farabi Kazakh National University, Almaty, Kazakhstan;CAMTP -- Center for Applied Mathematics and Theoretical Physics, University of Maribor, Maribor, Slovenia
Venue:
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation
Year:
2008

Citing 3
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Abstract

We study the systems of differential equations of the form . x = x + p(x,y), . y = -3y + q(x,y), where p and q are homogeneous polynomials of degree three (either of which may be zero). The necessary and sufficient coefficient conditions for linearization of such systems are obtained.