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RESEARCH PRODUCT

Multiple period annuli in Liénard type equations

Svetlana AtslegaFelix Sadyrbaev

subject

Liénard equationPhase portraitApplied MathematicsMathematical analysisCritical point (mathematics)Mathematics

description

Abstract We consider the equation x ″ x 1 − x 2 x ′ 2 + g ( x ) = 0 , where g ( x ) is a polynomial. We provide the conditions for existence of multiple period annuli enclosing several critical points.

10.1016/j.aml.2009.09.006http://dx.doi.org/10.1016/j.aml.2009.09.006