Homoclinic bifurcation and chaos control in MEMS resonators

field_of_study

Blank

university

Al-Azhar University – Gaza

authors

Siewe M.S.; Hegazy U.H.

authors_full_names

Siewe, M. Siewe (55665852200); Hegazy, Usama H. (15044157100)

authors_id

55665852200; 15044157100

year

2011

source_title

Applied Mathematical Modelling

article_title

Homoclinic bifurcation and chaos control in MEMS resonators

volume

35

issue

12

page_start

5533

page_end

5552

affiliations

Université de Yaoundé I, Faculté des sciences, Département de Physique, Laboratoire de Mécanique, Yaoundé, BP: 812, Cameroon; Department of Mathematics, Al-Azhar University-Gaza, Gaza, P. O. Box 1277, Palestine

authors_with_affiliations

Siewe M.S., Université de Yaoundé I, Faculté des sciences, Département de Physique, Laboratoire de Mécanique, Yaoundé, BP: 812, Cameroon; Hegazy U.H., Department of Mathematics, Al-Azhar University-Gaza, Gaza, P. O. Box 1277, Palestine

corresponding_author

U.H. Hegazy; Université de Yaoundé I, Faculté des sciences, Département de Physique, Laboratoire de Mécanique, Yaoundé, BP: 812, Cameroon; email: u.hejazy@alazhar.edu.ps

cited_by

91

doi

10.1016/j.apm.2011.05.021

author_keywords

Bifurcation; Control; Melnikov method; MEMS resonator; Time-varying stiffness

index_keywords

Bifurcation (mathematics); Microelectromechanical devices; Numerical methods; Resonators; Stiffness; Time varying systems; Active controller; Analytical predictions; Basin of attraction; Bifurcation diagram; Chaotic dynamics; Chaotic motions; Homoclinic; Homoclinic bifurcations; Homoclinic chaos; Melnikov functions; Melnikov method; MEMS resonator; MEMS resonators; Micromechanical resonator; Numerical studies; Parametric excitations; Periodic and chaotic motions; Phase portrait; Poincare map; System transitions; Time history; Time-varying stiffness; Chaotic systems