The stability of periodic solutions of time-independent Hamiltonian systems is often studied by linearization techniques. In the case of two degrees of freedom near stable equilibrium this is a correct procedure, in the case of three or more degrees of freedom we present some counterexamples. The case of the classical Fermi-Pasta-Ulam chain with cubic and quartic interactions illustrates the instability phenomenon.
| Original language | English |
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| Title of host publication | Recent Trends in Applied Nonlinear Mechanics and Physics |
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| Editors | M. Belhaq |
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| Publisher | Springer |
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| Pages | 121-127 |
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| Number of pages | 6 |
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| ISBN (Electronic) | 978-3-319-63937-6 |
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| ISBN (Print) | 978-3-319-63936-9 |
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| Publication status | Published - Nov 2017 |
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| Name | Springer Proceedings in Physics |
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| Volume | 199 |
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