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- W1996226029 abstract "We give an explicit description of the reduced energy momentum method for determining nonlinear stability ors steadny rotating equilibrium states of Hamiltonian systems having finitely many degrees of freedom. The block-diagonalization method of Marsden et al (1989) is reviewed and illustrated by application to the heavy ton and two discrete mass-spring systems having four and six degrees of freedom respectively. We are particularly interested in cases where the stability test is inconclusive and one must examine the linearized equations of motion. Making use of the sparse structure of suitably transformed matrices, we give explicit formulae from which coefficients in the characteristic polynomial of the related eigenproblem. can be found. This permits us to give rather complete analyses of specific examples, which we also illustrate by numerical simulation. Our most interesting finding is that in both examples for which the amended potential is indefinite of index two, but the linearized analysis indicat..." @default.
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- W1996226029 date "1993-01-01" @default.
- W1996226029 modified "2023-09-27" @default.
- W1996226029 title "Reduction, Stability, Instability and Bifurcation in Rotationally Symmetric Hamiltonian Systems" @default.
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- W1996226029 doi "https://doi.org/10.1080/02681119308806148" @default.
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