A uniqueness theorem for limit cycles of a class of plane differential systems is proved. The main result is applicable to second order O.D.E.'s with a dissipative term depending both on the position and on the velocity.
Limit cycles uniqueness for a class of planar dynamical systems / G. VILLARI; M. SABATINI. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 19:(2006), pp. 1180-1184. [10.1016/j.aml.2005.09.017]
Limit cycles uniqueness for a class of planar dynamical systems
VILLARI, GABRIELE;
2006
Abstract
A uniqueness theorem for limit cycles of a class of plane differential systems is proved. The main result is applicable to second order O.D.E.'s with a dissipative term depending both on the position and on the velocity.
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