The existence of the solution for the nonlinear coupled oscillator networks

Author

Zhou, Yan ; Zhang, Wei

Author_Institution

Coll. of Mech. Eng., Beijing Univ. of Technol., Beijing, China

fYear

2011

fDate

15-17 July 2011

Firstpage

839

Lastpage

841

Abstract

In this paper, we discuss the existence of solutions for networks of nonlinear parametrically forced oscillators. We deals with one type of nonlinear coupled system from the studying of the honeycomb sandwich plate. Based on the Implicit Function Theorem, the periodic orbit of the coupled system are derived by the hyperbolicity condition. The method of Poincare map is utilized to obtain solutions from the uncoupled case persist for small coupling. These results show that under certain conditions the stability of the solutions for the nonlinear coupled dynamical system are found.

Keywords

Poincare mapping; continuum mechanics; honeycomb structures; nonlinear dynamical systems; parametric oscillators; plates (structures); sandwich structures; Poincare map method; honeycomb sandwich plate; hyperbolicity condition; implicit function theorem; nonlinear coupled dynamical system; nonlinear coupled oscillator networks; nonlinear parametrically forced oscillators; periodic orbit; solution stability; Couplings; Equations; Mathematical model; Orbits; Oscillators; Stability analysis; Synchronization; Periodic orbit; nonlinear coupled; parametrical forced oscillators;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechanic Automation and Control Engineering (MACE), 2011 Second International Conference on

Conference_Location

Hohhot

Print_ISBN

978-1-4244-9436-1

Type

conf

DOI

10.1109/MACE.2011.5987058

Filename

5987058