Selected Publications

  Articles/Thesis
  1. V. Naudot, Strange attractors in the unfolding of an inclination-flip homoclinic orbit,   Ergod. Th. & Dynam. Syst. 16  (1996), 1071-1086.  the ps.gz file
  2. H. Kokubu, V.Naudot, Existence of infinitely many homoclinic doubling bifurcations from some  codimension three homoclinic orbits,  Journ. Dynamics  Diff. Eq. 9 (1997), 445-462.
  3. V. Naudot, A strange attractor in the unfolding of an orbit-flip homoclinic orbit, Dynamical Systems: An international journal 17 No. 1, (2002), 45-63.
  4. A.J. Homburg, H. Kokubu, V. Naudot, Homoclinic doubling cascades, Arch. Rational. Mech. Anal. 160 (2001), 195-243. 
  5. V. Naudot, Les bifurcations homoclines des champs de vecteurs en dimension trois, These de l'Universite de Bourgogne. (March 25th 1996). 
  6. P. Bonckaert,  V. Naudot, Asymptotic properties of the Dulac Map near a hyperbolic saddle in dimension 3, Ann. Fac. Sci. Toulouse  Math. (6) 8 (2001), no. 4, 595-617.
  7. P. Bonckaert, V. Naudot, J. Yang, Linearization of germs of hyperbolic vector fields, C. R. Acad. Sci. Paris, Ser. I 336 (2003), 19-22. 
  8. P. Bonckaert, V. Naudot,   J. Yang, Linearization of hyperbolic resonant germs, Dynamical Systems: An international journal. 18,   No 1, March 2003, 69-88.
  9. V. Naudot, K. Neirynck, Poincare return map near a planar center,   Communications on Applied Nonlinear Analysis ,12, No 3, July 2005, 1-27.
  10. M. Martens, V. Naudot, J. Yang, A Cubic Henon like map in the unfolding of degenerate  homoclinic orbit with  resonance,  C.R. Acad. Sci. Paris. Ser. I 340, (2005), 843-846.
  11. V. Naudot, Etude locale et globale de champs de vecteurs sur R^n, H.D.R: Habilitation a diriger les recherches. Universite de Bourgogne (May 27th 2005).
  12. H.W.Broer, V. Naudot, R. Roussarie and K. Saleh, A predator-prey model with non-monotonic response function, Regul. Chaotic. Dyn., 11, (2), (2006), 155-165.
  13. H.W. Broer, V. Naudot, R. Roussarie and K. Saleh, Bifurcations of a predator-prey model with non-monotonic response function, C.R. Acad. Sci. Paris. Ser. I 341, (2005), 6001-604.
  14. H.W. Broer, H. Hanßmann, J. Hoo, V. Naudot, Nearly-integrable perturbations of the Lagrange top: applications of KAM-theory, IMS Lecture Notes - Monograph Series, Dynamics and Stochastics, Vol 48, (2006), 286-303.
  15. H.W.Broer, V. Naudot, R. Roussarie, K. Saleh, F.O.O. Wagener, Organising centres in the semi-global analysis of dynamical systems. Intern. Journ. of Applied Mathematics  & Statistics: IJAMAS, 12(D07), (2007), 7-36.  Get a copy here!
  16. M. Martens, V. Naudot, J. Yang, A strange attractor with large entropy in the unfodling of a low resonant degenerate homoclinic orbit. Intern. Journ.  of Bifurcation & Chaos, 16 , No 12, (2006), 3509-3522.
  17. V. Naudot, J. Yang, Linearization of families of germs. To appear in Dynamical Systems: An international journal (2006).
  18.  H.W. Broer, V. Naudot,  R. Roussarie, Catastrophe Theory in Dulac unfoldings. Ergod. Th. & Dynam. Syst. (2006), 26,  1-35.  Get a copy here!
  19. H.W. Broer, J. Hoo, V. Naudot, Normal linear stability of quasi periodic tori,  Journ. Diff. Eqns. 232, (2) (2007), 355-418.
  20. H.W. Broer,  V. Naudot, R. Roussarie, K Saleh,  Dynamics of  a predator-prey model with a non-monotonic response function.  Discrete and Continuous Dynamical Systems- Serie A, 18, No 2-3, (2007), 221-251.
  21. V. Naudot, J. Yang ,  On the index of finite determinacy of vector fields with resonances. To appear in ACATA MATH Sinica. Get a copy here!
  22. V. Gelfreich, V. Naudot ,  Analytic invariants associated with a parabolic fixed point in C2. To appear in Ergod. Th. & Dynam. Syst. Get a copy here!
  23. P. Coleman, L.S. Liebovitch, V. Naudot, A. Nowak, R. Vallacher, L. Bui-Wrzosinska, Dynamics of Two-Actor Cooperation-Competition Conflict Models. To appear in Physica A.
 Proceedings
  1. P. Bonckaert, V. Naudot, J.Yang, Time logarithmic transformations near a resonant equilibrium point,  Proceedings of the 3rd  Symposium on Celestial Mechanics. March 16-18 (2001), Kusatsu-Onsen, Japan.   
  2. H.W. Broer, V. Naudot,  R. Roussarie, Extension of Catastrophe theory to Dulac unfoldings, Proceedings Equadiff 2003, International Conference of Differencial Equations, Hasselt 2003, World Scientific, Singapore, 2005, 714-719, ISBN 981 256 169 2.
  3. H.W. Broer, J. Hoo, V. Naudot, Normal linear stability of quasi-periodic tori in the Hamitlonian 1:-1 Resonant case, Proceedings Equadiff 2003, International Conference of Differencial Equations, Hasselt 2003, World Scientific, Singapore, 2005, 708-713, ISBN 981 256 169 2.

Selected Preprints

  1. V. Naudot, J. Yang, Quasi linear germs,  Preprint (2008).
  2. V. Naudot, J. Yang, Quasi linearization for two and three dimensional hyperbolic germs, Preprint (2008).      
  3. V. Gelfreich, V. Naudot, On the width of chaos for quadratic maps, Preprint (2007).
  4. H.W. Broer, V. Naudot, R. Roussarie, F.O.O. Wagener, Quasi-periodic bifurcations of planar maps, Preprint (2007).
  5. T. Jordan, V. Naudot, T. Young, Higher Order Birkhoff Averages, Preprint (2008).


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Last update:  March 12th 2008.