Journal of Mathematical Sciences

, Volume 205, Issue 3, pp 473–489 | Cite as

Periodic Solutions of Mathematical Models of Micromechanics Under Periodic Impulse Action

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We consider mathematical models of two microelectromechanical systems describing the motion of a movable electrode in a micro-gap under the action of the repetitive pulse electrostatic field between movable and fixed electrodes. We formulate boundary value problems with periodicity conditions and found the range of parameters corresponding to the existence of two solutions such that one of them is stable, whereas the other is unstable. Bibliography: 11 titles. Illustrations: 9 figures.

Keywords

Periodic Solution Cauchy Problem Phase Trajectory Impulse Action Dielectric Surface 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Sobolev Institute of Mathematics SB RASNovosibirskRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia

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