Eduardo Sáez, Eduardo Stange, Iván Szántó (2007)
Czechoslovak Mathematical Journal
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A class of degree four differential systems that have an invariant conic , , is examined. We show the coexistence of small amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems.
Noel G. Lloyd, Jane M. Pearson (1997)
Publicacions Matemàtiques
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We resolve the centre-focus problem for a specific class of cubic systems and determine the number of limit cycles which can bifurcate from a fine focus. We also describe the methods which we have developed to investigate these questions in general. These involve extensive use of Computer Algebra; we have chosen to use REDUCE.
Tigan, Gheorghe (2006)
Applied Mathematics E-Notes [electronic only]
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Gaiko, Valery
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Naeem Alkoumi, Pedro J. Torres (2011)
Czechoslovak Mathematical Journal
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New results are proved on the maximum number of isolated -periodic solutions (limit cycles) of a first order polynomial differential equation with periodic coefficients. The exponents of the polynomial may be negative. The results are compared with the available literature and applied to a class of polynomial systems on the cylinder.
Feng, Beiye, Hu, Rui (2003)
Applied Mathematics E-Notes [electronic only]
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