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Unique normal forms: The nilpotent Hamiltonian case. (English) Zbl 0731.58060

The authors apply the theory developed by the first author [J. Differ. Equations 78, No.1, 33-52 (1989; Zbl 0689.70005)] to the computation of unique normal forms for the nilpotent Hamiltonian case. The Takens- Bogdanov normal form and the Hamiltonian Hopf bifurcation are particular cases of their general construction.

MSC:

37G05 Normal forms for dynamical systems
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
17B70 Graded Lie (super)algebras

Citations:

Zbl 0689.70005
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References:

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