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Normal forms with exponentially small remainder : application to homoclinic connections for the reversible 0 2+ iω resonance
Résumé : In this note we explain how the normal form theorem established in [2] for analytic vector fields with a semi-simple linearization enables to prove the existence of homoclinic connections to exponentially small periodic orbits for reversible analytic vector fields admitting a 0 2+ iω resonance where the linearization is precisely not semi simple.
Cited literature [3 references]
https://hal.univ-cotedazur.fr/hal-01265190
Contributor : Gerard Iooss <>
Submitted on : Sunday, January 31, 2016 - 11:47:25 AM
Last modification on : Monday, October 12, 2020 - 2:28:05 PM
Long-term archiving on: : Friday, November 11, 2016 - 10:44:45 PM
Contributor : Gerard Iooss <>
Submitted on : Sunday, January 31, 2016 - 11:47:25 AM
Last modification on : Monday, October 12, 2020 - 2:28:05 PM
Long-term archiving on: : Friday, November 11, 2016 - 10:44:45 PM
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Io-Lo3.pdf
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