Geodesic
Proof of simultaneous conditional exponential stabilization and destabilization of linear Hamiltonian systems
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2018), pp. 65-68 
T. V. Salova. Proof of simultaneous conditional exponential stabilization and destabilization of linear Hamiltonian systems. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2018), pp. 65-68. http://geodesic.mathdoc.fr/item/VMUMM_2018_4_a12/
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     title = {Proof of simultaneous conditional exponential stabilization and destabilization of linear {Hamiltonian} systems},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_4_a12/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that any linear Hamiltonian system is simultaneously conditionally (with respect to a subspace of half dimension) exponentially stabilizable and destabilizable by uniformly small Hamiltonian perturbations.

[1] Arnold V.I., Matematicheskie metody klassicheskoi mekhaniki, Editorial URSS, M., 2000

[2] Demidovich B.P., Lektsii po matematicheskoi teorii ustoichivosti, Nauka, M., 1967 | MR

[3] Sergeev I.N., “K teorii pokazatelei Lyapunova lineinykh sistem differentsialnykh uravnenii”, Tr. seminara im. I. G. Petrovskogo, 9, 1983, 111–166 | Zbl

[4] Salova T.V., “Ob odnovremennoi uslovnoi stabiliziruemosti i destabiliziruemosti lineinykh gamiltonovykh sistem”, Differents. uravneniya, 50:12 (2014), 1676–1677 | DOI | MR | Zbl

[5] Salova T.V., “Dokazatelstvo odnovremennoi uslovnoi stabiliziruemosti i destabiliziruemosti lineinykh gamiltonovykh sistem”, Vestn. Mosk. un-ta. Matem. Mekhan., 2017, no. 6, 8–15 | MR | Zbl

[6] Salova T.V., “Odnovremennaya dostizhimost tsentralnykh pokazatelei chetyrekhmernykh gamiltonovykh sistem pri beskonechno malykh gamiltonovykh vozmuscheniyakh”, Differents. uravneniya, 50:11 (2014), 1441–1454 | DOI | MR | Zbl