Abstract
The property of a Hamiltonian system to be integrable may happen to be satisfied only within a finite interval of the energy or just at one value of it. In this case we can speak of weak integrability and refer to the phase-space functions which are conserved only in correspondence of those given energy ranges as weak invariants. From this point of view, standard integrability with invariants which are conserved functions at arbitrary energies, can be referred to as strong integrability.
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Pucacco, G., Rosquist, K. (2002). Non—Integrability Tests of Weakly Integrable Systems. In: Celletti, A., Ferraz-Mello, S., Henrard, J. (eds) Modern Celestial Mechanics: From Theory to Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2304-6_37
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DOI: https://doi.org/10.1007/978-94-017-2304-6_37
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