Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations

Röst, Gergely (2005) Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations. In: Dynamical Systems and Applications. GBS Publishers, Delhi, pp. 624-641. ISBN 81-89476-00-9

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Abstract

Our purpose is to present some applications of the bifurcation formulae derived in [13] for periodic delay differential equations. We prove that a sequence of Neimark-Sacker bifurcations occurs as the parameter increases. For some special classes of equations, easily checkable conditions are given to determine the direction of the bifurcation of the time-one map.

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