Review paper

• Normalization and global analysis of perturbations of the hydrogen atom. K. Efstathiou and D.A. Sadovskií. Rev. Mod. Phys., 82(3), 2099-2154 (2010) 

Monograph

• Metamorphoses of Hamiltonian systems with symmetries. K. Efstathiou. Lecture Notes in Mathematics, vol. 1864, Springer-Verlag (2005) 

Papers

• Quantum Monodromy in the Isotropic 3-Dimensional Harmonic Oscillator. I. Chiscop, H. R. Dullin, K. Efstathiou, and H. Waalkens. Preprint (2018) 
• Bifurcations and Monodromy of the Axially Symmetric 1:1:-2 Resonance. K. Efstathiou, H. Hanßmann, and A. Marchesiello. Preprint (2018) 
• Self-consistent Method and Steady States of Second-order Oscillators. J. Gao and K. Efstathiou. Preprint (2018) 
• Scattering invariants in Euler’s two-center problem. N. Martynchuk, H. R. Dullin, K. Efstathiou, and H. Waalkens. Preprint (2018) 
• A Study of the Effect of Doughnut Chart Parameters on Proportion Estimation Accuracy. X. Cai, K. Efstathiou, X. Xie, Y. Wu, Y. Shi, and L. Yu. Computer Graphics Forum, 37(6), 300-312 (2018) 
• Parallel Transport along Seifert Manifolds and Fractional Monodromy. N. Martynchuk and K. Efstathiou. Communications in Mathematical Physics, 356(2), 427-449 (2017) 
• Isochronous Dynamics in Pulse Coupled Oscillator Networks with Delay. P. Li, W. Lin, and K. Efstathiou. Chaos, 27(5), 053103 (2017) 
• Rotation Forms and Local Hamiltonian Monodromy. K. Efstathiou, A. Giacobbe, P. Mardešić, and D. Sugny. Journal of Mathematical Physics, 58(2), 022902 (2017) 
• Monodromy of Hamiltonian Systems with Complexity 1 Torus Actions. K. Efstathiou and N. Martynchuk. Journal of Geometry and Physics (2016) 
• CAST: Effective and Efficient User Interaction for Context-Aware Selection in 3D Particle Clouds. L. Yu, K. Efstathiou, P. Isenberg, and T. Isenberg. IEEE Transactions on Visualization and Computer Graphics, 21(12) (2015) 
• The Boundary-Hopf-Fold bifurcation in Filippov systems. K. Efstathiou, X. Liu, and H.W. Broer. SIAM Journal on Applied Dynamical Systems, 14(2), 914-941 (2015) 
• Uncovering fractional monodromy. K. Efstathiou and H.W. Broer. Communications in Mathematical Physics, 324(2), 549-588 (2013) 
• The topology associated with cusp singular points. K. Efstathiou and A. Giacobbe. Nonlinearity, 25(12), 3409-3422 (2012) 
• Efficient structure-aware selection techniques for 3D point cloud visualizations with 2DOF input. L. Yu, K. Efstathiou, P. Isenberg, and T. Isenberg. IEEE Transactions on Visualization and Computer Graphics, 18(12), 2245-2254 (2012) 
• Pacer cell response to periodic Zeitgebers. D.G.M. Beersma, H.W. Broer, K. Efstathiou, K.A. Gargar, and I. Hoveijn. Physica D, 240(19), 1516-1527 (2011) 
• A geometric fractional monodromy theorem. H.W. Broer, K. Efstathiou and O.V. Lukina. Discr. Cont. Dyn. Sys. - Ser. S, 3(4), 517-532 (2010) 
• Fractional bidromy in the vibrational spectrum of HOCl. E. Assémat, K. Efstathiou, M. Joeyux, and D. Sugny. Phys. Rev. Lett., 104(11), 113002 (2010) 
• Integrable Hamiltonian systems with swallowtails. K. Efstathiou and D. Sugny. J. Phys. A, 45, 085216 (2010) 
• Complete classification of qualitatively different perturbations of the hydrogen atom in weak near orthogonal electric and magnetic fields. K. Efstathiou, O.V. Lukina and D.A. Sadovskií. J. Phys. A, 42(5), 055209 (2009) 
• Most typical 1:2 resonant perturbation of the hydrogen atom by weak electric and magnetic fields. K. Efstathiou, O.V. Lukina and D.A. Sadovskií. Phys. Rev. Lett., 101(25), 253003 (2008) 
• Heteroclinic connections between unstable attractors. H.W. Broer, K. Efstathiou and E. Subramanian. Nonlinearity, 21(6), 1385-1410 (2008) 
• Robustness of unstable attractors in arbitrarily sized pulse-coupled networks with delay. H.W. Broer, K. Efstathiou and E. Subramanian. Nonlinearity, 21(1), 13-49 (2008) 
• Classification of perturbations of the hydrogen atom by small static electric and magnetic fields. K. Efstathiou, D.A. Sadovskií and B.I. Zhilinskií. Proc. Roy. Soc. London Ser. A, 463(2083), 1771-1790 (2007) 
• Fractional monodromy in the 1:-2 resonance. K. Efstathiou, D.A. Sadovskií and R.H. Cushman. Advances in Mathematics, 209(1), 241-273 (2007) 
• Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields. K. Efstathiou, R.H. Cushman and D.A. Sadovskií. Physica D, 194(3-4), 250-274 (2004) 
• Global bending quantum number and the absence of monodromy in the HCN-CNH molecule. K. Efstathiou, M. Joyeux and D.A. Sadovskií. Phys. Rev. A, 69, 032504 (2004) 
• Analysis of rotation-vibration relative equilibria on the example of a tetrahedral four atom molecule. K. Efstathiou, D.A. Sadovskií and B.I. Zhilinskií. SIAM J. Appl. Dyn. Systems, 3(3), 261-351 (2004) 
• 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. K. Efstathiou and D.A. Sadovskií. Nonlinearity, 17(2), 415-446 (2004) 
• Linear Hamiltonian Hopf bifurcation for point group invariant perturbations of the 1:1:1 resonance. K. Efstathiou, D.A. Sadovskií and R.H. Cushman. Proc. Roy. Soc. London Ser. A, 459(2040), 2997-3019 (2003) 
• Escapes and recurrence in a simple Hamiltonian system. G. Contopoulos and K. Efstathiou. Cel. Mech., 88(2), 163-183 (2004) 
• A method for accurate computation of the rotation and the twist numbers of invariant circles. K. Efstathiou and N. Voglis. Physica D, 158(1-4), 151-163 (2001) 
• Orbits in the H2O molecule. K. Efstathiou and G. Contopoulos. Chaos, 11(2), 327-334 (2001) 

Lecture notes

• No polar coordinates. K. Efstathiou and D.A. Sadovskií. In «Geometric Mechanics and Symmetry: the Peyresq Lectures», J. Montaldi and T. Ratiu eds., Cambridge University Press (2005) 

PhD Thesis

• Métamorphoses de systèmes Hamiltoniens avec symétries. K. Efstathiou. PhD thesis, Université du Littoral, Dunkerque (2004) 