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Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 41, Issue 1, Pages 143–155
DOI: https://doi.org/10.1070/IM1993v041n01ABEH002183 (Mi im930) 		 
On the denseness of the set of nonintegrable hamiltonians

S. I. Pidkuiko
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DOI: https://doi.org/10.1070/IM1993v041n01ABEH002183
Abstract: For the set of Hamiltonian systems in a $2n$-dimensional phase space with Hamiltonians that are real analytic in a neighborhood of an equilibrium state of the system a generalization of Siegel's result is proved for $n>2$: the set of nonintegrable Hamiltonians is everywhere dense in the set of all Hamiltonians of the above form.
Received: 10.02.1991
Bibliographic databases:
UDC: 517.987
MSC: Primary 70H15, 70H05; Secondary 34C20, 58F05
Language: English
Original paper language: Russian
Citation: S. I. Pidkuiko, “On the denseness of the set of nonintegrable hamiltonians”, Russian Acad. Sci. Izv. Math., 41:1 (1993), 143–155
Citation in format AMSBIB
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\by S.~I.~Pidkuiko
\paper On the denseness of the set of nonintegrable hamiltonians
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 41
\issue 1
\pages 143--155
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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