We study global continuation properties of the set of T-periodic solutions of parameterized second order delay differential equations with constant time lag on smooth manifolds. We apply our results to get multiplicity of T-periodic solutions. Our topological approach is mainly based on the notion of degree of a tangent vector field.
Branches of Forced Oscillations Induced by a Delayed Periodic Force / Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 19:(2019), pp. 149-163. [10.1515/ans-2018-2028]
Branches of Forced Oscillations Induced by a Delayed Periodic Force
Pera, Maria PatriziaMembro del Collaboration Group
;Spadini, Marco
Membro del Collaboration Group
2019
Abstract
We study global continuation properties of the set of T-periodic solutions of parameterized second order delay differential equations with constant time lag on smooth manifolds. We apply our results to get multiplicity of T-periodic solutions. Our topological approach is mainly based on the notion of degree of a tangent vector field.
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