Publications
Monograph
Preprints
Journal Articles
- A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy. I. Chiscop, H. R. Dullin, K. Efstathiou, H. Waalkens. Journal of Mathematical Physics, 60(3), 032103 (2019).
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- Scattering invariants in Euler's two-center problem. N. Martynchuk, H. R. Dullin, K. Efstathiou, H. Waalkens. Nonlinearity, 32(4), 1296-1326 (2019).
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- Self-consistent method and steady states of second-order oscillators. J. Gao, K. Efstathiou. Physical Review E, 98(4), 042201 (2018).
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- A study of the effect of doughnut chart parameters on proportion estimation accuracy. X. Cai, K. Efstathiou, X. Xie, Y. Wu, Y. Shi, L. Yu. Computer Graphics Forum, 37(6), 300-312 (2018).
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- Parallel transport along Seifert manifolds and fractional monodromy. N. Martynchuk, K. Efstathiou. Communications in Mathematical Physics, 356(2), 427-449 (2017).
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- Isochronous dynamics in pulse coupled oscillator networks with delay. P. Li, W. Lin, K. Efstathiou. Chaos, 27(5), 053103 (2017).
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- Rotation forms and local Hamiltonian monodromy. K. Efstathiou, A. Giacobbe, P. Mardešić, D. Sugny. Journal of Mathematical Physics, 58(2), 022902 (2017).
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- Monodromy of Hamiltonian systems with complexity 1 torus actions. K. Efstathiou, N. Martynchuk. Journal of Geometry and Physics, 115, 104-115 (2017).
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- CAST: effective and efficient user interaction for context-aware selection in 3D particle clouds. L. Yu, K. Efstathiou, P. Isenberg, T. Isenberg. IEEE Transactions on Visualization and Computer Graphics, 22(1), 886-895 (2016).
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- The Boundary-Hopf-Fold bifurcation in Filippov systems. K. Efstathiou, X. Liu, H. W. Broer. SIAM Journal on Applied Dynamical Systems, 14(2), 914-941 (2015).
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- Uncovering fractional monodromy. K. Efstathiou, H. W. Broer. Communications in Mathematical Physics, 324(2), 549-588 (2013).
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- The topology associated to cusp singular points. K. Efstathiou, A. Giacobbe. Nonlinearity, 25(12), 3409-3422 (2012).
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- Efficient structure-aware selection techniques for 3D point cloud visualizations with 2DOF input. L. Yu, K. Efstathiou, P. Isenberg, T. Isenberg. IEEE Transactions on Visualization and Computer Graphics, 18(12), 2245-2254 (2012).
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- Pacer cell response to periodic Zeitgebers. D. G. M. Beersma, H. W. Broer, K. Efstathiou, K. A. Gargar, I. Hoveijn. Physica D, 240, 1516-1527 (2011).
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- Integrable Hamiltonian systems with swallowtails. K. Efstathiou, D. Sugny. Journal of Physics A, 43(8), 085216 (2010).
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- Fractional bidromy in the vibrational spectrum of HOCl. E. Assémat, K. Efstathiou, M. Joyeux, D. Sugny. Physical Review Letters, 104(11), 113002 (2010).
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- Normalization and global analysis of perturbations of the hydrogen atom. K. Efstathiou, D. A. Sadovskií. Reviews of Modern Physics, 82(3), 2099-2154 (2010).
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- A geometric fractional monodromy theorem. H. W. Broer, K. Efstathiou, O. V. Lukina. Discrete and Continuous Dynamical Systems - Series S (DCDS-S), 3(4), 517-532 (2010).
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- Complete classification of qualitatively different perturbations of the hydrogen atom in weak near-orthogonal electric and magnetic fields. K. Efstathiou, O. V. Lukina, D. A. Sadovskií. Journal of Physics A, 42(5), 055209 (2009).
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- Most typical 1:2 resonant perturbation of the hydrogen atom by weak electric and magnetic fields. K. Efstathiou, O. V. Lukina, D. A. Sadovskií. Physical Review Letters, 101(25), 253003 (2008).
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- Robustness of unstable attractors in arbitrarily sized pulse-coupled networks with delay. H. W. Broer, K. Efstathiou, E. Subramanian. Nonlinearity, 21(1), 13-49 (2008).
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- Heteroclinic cycles between unstable attractors. H. W. Broer, K. Efstathiou, E. Subramanian. Nonlinearity, 21(6), 1385-1410 (2008).
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- Fractional monodromy in the 1:-2 resonance. K. Efstathiou, R. H. Cushman, D. A. Sadovskií. Advances in Mathematics, 209(1), 241-273 (2007).
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- Classification of perturbations of the hydrogen atom by small static electric and magnetic fields. K. Efstathiou, D. A. Sadovskií, B. I. Zhilinskií. Proceedings of the Royal Society A, 463(2083), 1771-1790 (2007).
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- Analysis of rotation-vibration relative equilibria on the example of a tetrahedral four atom molecule. K. Efstathiou, D. A. Sadovskií, B. I. Zhilinskií. SIAM Journal on Applied Dynamical Systems, 3(3), 261-351 (2004).
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- Escapes and recurrence in a simple Hamiltonian system. G. Contopoulos, K. Efstathiou. Celestial Mechanics and Dynamical Astronomy, 88(2), 163-183 (2004).
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- Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields. K. Efstathiou, R. H. Cushman, D. A. Sadovskií. Physica D, 194(3-4), 250-274 (2004).
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- Global bending quantum number and the absence of monodromy in the HCN-CNH molecule. K. Efstathiou, M. Joyeux, D. A. Sadovskií. Physical Review A, 69(3), 032504 (2004).
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- 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, D. A. Sadovskií. Nonlinearity, 17(2), 415-446 (2004).
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- Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the 1:1:1 resonance. K. Efstathiou, D. A. Sadovskií, R. H. Cushman. Proceedings of the Royal Society A, 459(2040), 2997-3019 (2003).
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- Orbits in the H2O molecule. K. Efstathiou, G. Contopoulos. Chaos, 11(2), 327-334 (2001).
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- A method for accurate computation of the rotation and the twist numbers of invariant circles. K. Efstathiou, N. Voglis. Physica D, 158(1-4), 151-163 (2001).
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PhD Thesis