A remark on the KAM theorem applied to a four-vortex system |
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| Authors: | Alessandra Celletti Corrado Falcolini |
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| Affiliation: | (1) Forschungsinstitut für Mathematik ETH-Zentrum, CH-8092 Zurich, Switzerland;(2) Dipartimento di Matematica, II Universitá di Roma, 00137 Rome, Italy |
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| Abstract: | ![]()
We consider a planar four-vortex system with unit intensities and apply the KAM theorem for two-dimensional tori with fixed frequency. We obtain a rigorous lower bound for the stochasticity threshold of the torus with rotation number =( 5—1)/2 and compare our result with numerical experiments. |
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| Keywords: | KAM theory quasiperiodic motions four-vortex system stochasticity threshold |
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