Hamiltonian algorithms for Hamiltonian systems and a comparative numerical study
β Scribed by Feng Kang; Qin Meng-zhao
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 878 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0010-4655
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π SIMILAR VOLUMES
We consider an autonomous Hamiltonian system u +{V(u)=0 where the potential V : R 2 "[!] Γ R has a strict global maximum at the origin and a singularity at some point !{0. Under some compactness conditions on V at infinity and around the singularity ! we study the existence of homoclinic orbits to 0
We prove that in all but one case the normal form of a real or complex Hamiltonian matrix which is irreducible and appropriately normalized can be computed by Lie series methods in formally the same manner as one computes the normal form of a nonlinear Hamiltonian function. Calculations are emphasiz