A KAM theory for conformally symplectic systems: Efficient algorithms and their validation |
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| Authors: | Renato C Calleja Alessandra Celletti Rafael de la Llave |
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| Institution: | 1. Institute for Mathematics and Its Applications, University of Minnesota, 307 Church St SE, Minneapolis, MN 55455, United States;2. Department of Mathematics, University of Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma, Italy;3. School of Mathematics, Georgia Institute of Technology, 686 Cherry St, Atlanta, GA 30332-1160, United States |
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| Abstract: | We present a KAM theory for some dissipative systems (geometrically, these are conformally symplectic systems, i.e. systems that transform a symplectic form into a multiple of itself). For systems with n degrees of freedom depending on n parameters we show that it is possible to find solutions with a fixed n-dimensional (Diophantine) frequency by adjusting the parameters. |
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| Keywords: | 70K43 70K20 34D35 |
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