6533b828fe1ef96bd1288c6c
RESEARCH PRODUCT
A note on higher order Melnikov functions
A. JebraneHenryk Zoladeksubject
Abelian integralPolynomialPure mathematicsMathematics::Dynamical SystemsApplied MathematicsMathematical analysisMathematics::Classical Analysis and ODEsPhysics::Fluid DynamicsNonlinear Sciences::Chaotic DynamicsPlanarDiscrete Mathematics and CombinatoricsOrder (group theory)Nonlinear Sciences::Pattern Formation and SolitonsMathematicsdescription
We present several classes of planar polynomial Hamilton systems and their polynomial perturbations leading to vanishing of the first Melnikov integral. We discuss the form of higher order Melnikov integrals. In particular, we present new examples where the second order Melnikov integral is not an Abelian integral.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-09-01 | Qualitative Theory of Dynamical Systems |