%0 Journal Article %1 medvedev2013hyperbolic %A Medvedev, Anton G. %D 2013 %J Sbornik: Mathematics %K analysis classical mathematics mechanics physics unread %N 5 %P 661--682 %R 10.1070/SM2013v204n05ABEH004316 %T Hyperbolic tori in Hamiltonian systems with slowly varying parameter %V 204 %X This paper looks at a Hamiltonian system which depends periodically on a parameter. For each value of the parameter the system is assumed to have a hyperbolic periodic solution. Using the methods in KAM-theory it is proved that if the Hamiltonian is perturbed so that the value of the parameter varies with constant small frequency, then the nonautonomous system will have hyperbolic 2-tori in the extended phase space.

@article{medvedev2013hyperbolic, abstract = {This paper looks at a Hamiltonian system which depends periodically on a parameter. For each value of the parameter the system is assumed to have a hyperbolic periodic solution. Using the methods in KAM-theory it is proved that if the Hamiltonian is perturbed so that the value of the parameter varies with constant small frequency, then the nonautonomous system will have hyperbolic 2-tori in the extended phase space.}, added-at = {2013-07-21T22:12:58.000+0200}, author = {Medvedev, Anton G.}, biburl = {https://www.bibsonomy.org/bibtex/267f2d521eb46dd53fcc4a8e8c5358aca/drmatusek}, doi = {10.1070/SM2013v204n05ABEH004316}, interhash = {9590c13cb6253d08d52fdc83ce13b3a5}, intrahash = {67f2d521eb46dd53fcc4a8e8c5358aca}, journal = {Sbornik: Mathematics}, keywords = {analysis classical mathematics mechanics physics unread}, month = may, number = 5, pages = {661--682 }, timestamp = {2013-07-21T22:12:58.000+0200}, title = {Hyperbolic tori in Hamiltonian systems with slowly varying parameter}, volume = 204, year = 2013 }