Unified Hamiltonian stability theory

Details Unified Hamiltonian stability theory Unified Hamiltonian stability theory

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..62..111h&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 62, Issue 2, pp.111-116

Astronomy and Astrophysics

Astronomy

2

Stability, Hamiltonian Systems, Cayley Transform

Scientific paper

We show that the spectral stability of Hamiltonian equilibria and
periodic orbits may be analyzed by the same method. This is accomplished
via the Cayley transform, λ=(σ+1)/(σ-1), which
maps the unit circle onto the imaginary σ-axis. The advantages and
disadvantages of the new method over previous techniques are elucidated.

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