Indices in classical mechanics

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Published under licence by IOP Publishing Ltd
, , Citation B Eckhardt and D Wintgen 1991 J. Phys. A: Math. Gen. 24 4335 DOI 10.1088/0305-4470/24/18/020

0305-4470/24/18/4335

Abstract

The authors discuss the linearization of the equations of motion around a periodic orbit in a conservative two degree of freedom Hamiltonian system, with an emphasis on computationally useful formulae. Indices are defined using singularities in projections. Conjugate points, self-conjugate points and the possibility of assigning a symbolic code are discussed.

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