On the Integrability of an Attracting System of Nonlinear Oscillators
نویسنده
چکیده
A system of nonlinear oscillators of an extended Van der Pol type was recently introduced [1] by the author. Under certain conditions the solutions of this system are attracted by the solutions of a nonlinear conservative system [1, 2], It has been proved in [2] that the latter system is integrable in the case of two oscillators. For three or more oscillators the question of integrability is open. The purpose of this note is to investigate the difficulties that may be incurred in trying to answer this question. The attracting system is of the form
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