Publications
Monograph
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K. Efstathiou, Metamorphoses of Hamiltonian systems with symmetries. Lecture Notes in Mathematics, vol. 1864, Springer-Verlag, 2005.
Publications in refereed journals
K. Efstathiou and G. Contopoulos, Orbits in the H2O molecule, Chaos, 11(2), pp. 327-334, 2001.
K. Efstathiou and N. Voglis, A method for accurate computation of the rotation and the twist numbers of invariant circles, Physica D, 158(1-4), pp. 151-163, 2001.
G. Contopoulos and K. Efstathiou, Escapes and recurrence in a simple Hamiltonian system, Cel. Mech., 88(2), pp. 163-183, 2004.
K. Efstathiou, D.A. Sadovskií and R.H. Cushman, Linear Hamiltonian Hopf bifurcation for point group invariant perturbations of the 1:1:1 resonance, Proc. Roy. Soc. London Ser. A, 459(2040), pp. 2997-3019, 2003.
K. Efstathiou and D.A. Sadovskií, Perturbations of the 1:1:1 resonance with tetrahedral symmetry: a three degree of freedom analogue of the two degree of freedom Hénon-Heiles Hamiltonian, Nonlinearity, 17(2), pp. 415-446, 2004.
K. Efstathiou, D.A. Sadovskií and B.I. Zhilinskií, Analysis of rotation-vibration relative equilibria on the example of a tetrahedral four atom molecule, SIAM J. Appl. Dyn. Systems, 3(3), pp. 261-351, 2004.
K. Efstathiou, M. Joyeux and D.A. Sadovskií, Global bending quantum number and the absence of monodromy in the HCN-CNH molecule, Phys. Rev. A, 69, 032504, 2004.
K. Efstathiou, R.H. Cushman and D.A. Sadovskií, Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields, Physica D, 194(3-4), pp. 250-274, 2004.
K. Efstathiou, D.A. Sadovskií and R.H. Cushman, Fractional monodromy in the 1:-2 resonance, Advances in Mathematics, 209(1), pp. 241-273, 2007.
K. Efstathiou, D.A. Sadovskií and B.I. Zhilinskií, Classification of perturbations of the hydrogen atom by small static electric and magnetic fields, Proc. Roy. Soc. London Ser. A, 463(2083), pp. 1771-1790, 2007.
H. Broer, K. Efstathiou and E. Subramanian, Robustness of unstable attractors in arbitrarily sized pulse-coupled networks with delay, Nonlinearity, 21(1), pp. 13-49, 2008.
H. Broer, K. Efstathiou and E. Subramanian, Heteroclinic connections between unstable attractors, Nonlinearity, 21(6), pp. 1385-1410, 2008.
K. Efstathiou, O.V. Lukina and D.A. Sadovskií, Most typical 1:2 resonant perturbation of the hydrogen atom by weak electric and magnetic fields, Phys. Rev. Lett., 101(25), 253003, 2008.
K. Efstathiou, O.V. Lukina and D.A. Sadovskií, Complete classification of qualitatively different perturbations of the hydrogen atom in weak near orthogonal electric and magnetic fields, J. Phys. A, 42(5), 055209, 2009.
K. Efstathiou and D. Sugny, Integrable Hamiltonian systems with swallowtails, J. Phys. A, 45, 085216, 2010.
E. Assémat, K. Efstathiou, M. Joeyux, and D. Sugny, Fractional bidromy in the vibrational spectrum of HOCl, Phys. Rev. Lett., 104(11), 113002, 2010.
K. Efstathiou and D.A. Sadovskií, Normalization and global analysis of perturbations of the hydrogen atom, Rev. Mod. Phys., 82(3), pp. 2099-2154, 2010.
H.W. Broer, K. Efstathiou and O.V. Lukina, A geometric fractional monodromy theorem, Discr. Cont. Dyn. Sys. - Ser. S, 3(4), pp. 517-532, 2010.
Non-refereed publications
- D.A. Sadovskií and K. Efstathiou. No polar coordinates. In «Geometric Mechanics and Symmetry: the Peyresq Lectures», J. Montaldi and T. Ratiu eds., Cambridge University Press, 2005.
PhD Thesis
- K. Efstathiou, Métamorphoses de systèmes Hamiltoniens avec symétries. PhD thesis, Université du Littoral, Dunkerque, 2004.