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Non-autonomous saddle-node bifurcation in a canonical electrostatic MEMS
 

Summary: Non-autonomous saddle-node bifurcation in a
canonical electrostatic MEMS
Alexander Gutiérrez
Departamento de Matemáticas
Universidad Tecnológica de Pereira, Risaralda, Colombia.
E-mail:alexguti@utp.edu.co
Pedro J. Torres
Departamento de Matemática Aplicada,
Universidad de Granada, 18071 Granada, Spain.
E-mail:ptorres@ugr.es
Abstract
We study the existence and stability of periodic solutions of a canonical
mass-spring model of electrostatically actuated micro-electro-mechanical
system (MEMS) by means of classical topological techniques like a-priori
bounds, Leray-Schauder degree and topological index. A saddle-node bi-
furcation is revealed, in analogy with the autonomous case.
1 Introduction.
The purpose of this paper is to study analytically the existence and stability of
periodic solutions of an idealized mass-spring model of electrostatically actuated
micro-electro-mechanical system (MEMS) which has become canonical in the

  

Source: Arias, Cristina M. - Departamento de Matemática Aplicada, Universidad de Granada

 

Collections: Mathematics