Preprint No.
A-99-27
Claudia Wulff, Mark Roberts
Hamiltonian Systems Near Relative Equilibria
Abstract: We give explicit differential equations for the
dynamics near relative equilibria of Hamiltonian systems.
These split the dynamics into motion along the group orbit
and motion inside a slice transversal to the group orbit.
The form of the differential equations that
is inherited from the symplectic structure and symmetry
properties of the Hamiltonian system is analysed and
the effects of time reversing symmetries are included.
The results will be applicable to the stability
and bifurcation theories of relative equilibria of
Hamiltonian systems.
Mathematics Subject Classification (MSC91): no
Language: ENG
Available:not
Contact: Wulff, Claudia; Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (Wulff@math.fu-berlin.de)
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