ISSN:
1573-2754
Keywords:
Melnikov's function
;
codimension two bifurcations of flows
;
bifurcation set
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract The existence and stability of periodic solutions for the two-dimensional system x′=f(x)+ɛg(x,α), 0〈ɛ≪1, α∈R whose unperturbed system is Hamiltonian can be decided by using the signs of Melnikov's function. The results can be applied to the construction of phase portraits in the bifurcation set of codimension two bifurcations of flows with double zero eigenvalues.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02453337
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