Highly Influenced

# Global bifurcation of Limit Cycles in a Family of multiparameter System

@article{Xiang2004GlobalBO, title={Global bifurcation of Limit Cycles in a Family of multiparameter System}, author={Guanghui Xiang and Maoan Han}, journal={I. J. Bifurcation and Chaos}, year={2004}, volume={14}, pages={3325-3335} }

- Published 2004 in I. J. Bifurcation and Chaos
DOI:10.1142/S0218127404011144

where H, f , g are C∞ functions in a region G ⊂ R2, ε ∈ R is a small parameter and a ∈ D ⊂ R with D compact. For ε = 0, (1) becomes Hamiltonian with the Hamiltonian function H(x, y). Suppose there exists a constant H0 > 0 such that for 0 < h < H0, the equation H(x, y) = h defines a smooth closed curve Lh ⊂ G surrounding the origin and shrinking to the origin as h → 0. Hence H(0, 0) = 0 and for ε = 0 (1) has a center at the origin. Let

Highly Cited

This paper has 32 citations. REVIEW CITATIONS

#### From This Paper

##### Topics from this paper.

#### Citations

##### Publications citing this paper.

#### References

##### Publications referenced by this paper.

Showing 1-8 of 8 references