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Vietnam Journal of Mathematics 35:1(2007) 61-72

 Irreducible Quadratic Perturbation of Spatial Oscillator

O. RabieiMotlagh and Z. Afsharnejad

Abstract.  In this paper, we consider the irreducible quadratic perturbation for the third dimensional linear oscillator. Using the Poincare method, we investigate conditions guaranteeing existence (lack) of periodic solutions. Also, we study the role of the iterative derivatives of the displacement function on constitution of periodic solutions, the type of the stability and global bifurcation of the system.

 

2000 Mathematics Subject Classification: 65Lxx.

Keywords: Periodic Solution, Poincare map, Bifurcation.

 

 

 

 

 

 

 

 

 

 

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