Branches of Forced Oscillations Induced by a Delayed Periodic Force-Reference-Cited by-同舟云学术

Branches of Forced Oscillations Induced by a Delayed Periodic Force

Published:2018-09-10 Issue:1 Volume:19 Page:149-163
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Calamai Alessandro¹,Pera Maria Patrizia²,Spadini Marco²

Affiliation:

1. Dipartimento di Ingegneria Civile, Edile e Architettura , Università Politecnica delle Marche , Via Brecce Bianche, 60131 Ancona , Italy

2. Dipartimento di Matematica e Informatica “U. Dini” , Università di Firenze , Via Santa Marta 3, 50139 Firenze , Italy

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2018-2028/pdf

Reference26 articles.

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5. P. Benevieri, A. Calamai, M. Furi and M. P. Pera, On general properties of retarded functional differential equations on manifolds, Discrete Contin. Dyn. Syst. 33 (2013), no. 1, 27–46.

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