Δημοσιεύσεις σε επιστημονικά περιοδικά με κριτές.

E1. S.Ichtiaroglou & E.Meletlidou: 1990, ‘On monoparametric families of orbits sufficient for integrability of planar potentials with linear and quadratic invariants’, J. Phys. A: Math. Gen. 23, 3673-3679.

E2. S.Ichtiaroglou, G.Voyatzis & E.Meletlidou: 1991, ‘Conditions for the existence of periodic solutions to integrable two-dimensional Hamiltonian systems’, Phys. Rev. 43A, 7043-7045.

E3. E.Meletlidou & S.Ichtiaroglou: 1994, ‘A criterion for non-integrability based on Poincaré’s theorem’, Physica D 71, 261-268.

E4. E.Meletlidou & S.Ichtiaroglou: 1994, ‘On the non-existence of an analytic integral of motion in periodically perturbed one degree of freedom Hamiltonian systems’, Phys. Lett. A 188, 157-163.

E5. E.Meletlidou & S.Ichtiaroglou: 1994, ‘On the number of isolating integrals in perturbed Hamiltonian systems with n³3 degrees of freedom’, J. Phys. A: Math. Gen. 27, 3919-3926.

Ε6. S.Ichtiaroglou & E.Meletlidou: 1996, ‘Ψ-series and obstructions to integrability of periodically perturbed one degree of freedom Hamiltonians’, Phys. Lett. A 224, 68-76.

E7. U.Locatelli & E.Meletlidou: 1998, ‘Convergence of Birkhoff normal form for essentially isochronous systems’, Meccanica 33, 195-211.

E8. G.Bozis & E.Meletlidou: 1998, ‘Nonintegrability detected from geometrically similar orbits’, Celest. Mech. Dyn. Astron. 68, 335-346.

Ε9. E.Meletlidou & S.Ichtiaroglou: 1999, ‘Isolated periodic orbits and stability in separable potentials’, Celest. Mech. Dyn. Astron. 71, 289-300.

Ε10. Κ.Wodnar, S.Ichtiaroglou & E.Meletlidou: 1999, ‘Non-integrability and continuation of fixed points of 2n-dimensional perturbed twist maps’, Physica D 128, 70-86.

Ε11. S. Ichtiaroglou, E.Meletlidou & K.Wodnar: 2000, ‘A method for evaluating the stability of fixed points in perturbed symplectic maps’, Chaos, Solitons and Fractals 11, 245-250.

E12. E.Meletlidou: 2000, ‘A nonintegrability test for perturbed separable planar Hamiltonians’, Phys. Lett. A, 270, 47-54.

Ε13. Ε.Meletlidou: 2000, ‘The Mel’nikov subharmonic function and the non-existence of analytic integrals in non-autonomous systems’, Celest. Mech. Dyn. Astr.78, 161-166.

E14. E.Meletlidou, S.Ichtiaroglou and F.J. Winterberg: 2001 ‘Non-integrability of Hill's lunar problem’, Celest. Mech. Dyn. Astr. 80, 145-156.

E15. E.Meletlidou, G.Voyatzis and S.Ichtiaroglou: 2001 ‘Obstructions to the continuation of analytic integrals of Hamiltonian systems under non-Hamiltonian perturbations’ Phys. Lett. A, 286, 55-60.

E16. E.Meletlidou, J.Pouget, G.Maugin and E.Aifantis: 2002, ‘The relation between energy and pseudomomentum in the elastic-crystal Boussinesq equation’, J. Mech. Behaviour of Materials, 13, 107-115

E17. G.Voyatzis, E.Meletlidou and S.Ichtiaroglou: 2002 ‘Large-scale chaos for arbitrarily small perturbations in nontwist Hamiltonian systems’, Chaos, Solitons and Fractals 14, 1179-1191.

E18. F.J.Winterberg and E.Meletlidou: 2004 ‘Non-continuation of integrals of the rotating two-body problem in Hill's lunar problem’, Celest. Mech. Dyn. Astr. 88, 37-49.

E19. E.Meletlidou, J.Pouget, G.Maugin and E.Aifantis: 2004, ‘Invariant relations in a Boussinesq type equation’ Chaos, Solitons and Fractals 22, 613-625.

E20. E.Meletlidou, G.Stagika and S.Ichtiaroglou: 2005, ‘Nonintegrability and structure of the resonance zones in a class of galactic potentials’, Celest. Mech. Dyn. Astr. 91, 323-335.

E21. D.Voyatzi and E.Meletlidou: 2006, ‘A nonintegrability criterion for adiabatic systems’, Int. J. of Bifurcation and Chaos 16, No 6, 1829-1833.

E22. E.Meletlidou and G.Stagika: 2006, ‘On the continuation of degenerate periodic orbits in Hamiltonian systems’, Regular & Chaotic Dynamics 11, 131-138.

E23. E.Meletlidou and P.G.L.Leach: 2007, ‘Singularity analysis in nonlinear biomathematical models: Two case studies’, Chaos, Solitons and Fractals 34, 903-913.

E24. D. Voyatzi and E. Meletlidou: 2008, “Crιteria for large-scale chaos in the problem of homogeneous magnetization", Nonlinear  Phenomena in Complex System, Vol 11, No 2, 269-273.

Ε25. Numerical investigation of bifurcations of equilibria and Hopf bifurcations in disease transmission models
Communications in Nonlinear Science and Numerical Simulation, Volume 16, Issue 1, January 2011, Pages 284-295
I.I. Maglevanny, E. Meletlidou, G. Stagika

E.26 J.-O Maaita, G.Tsaklidis,& E.Meletlidou “The Homogeneous Markov Systems (HMS) as an Elastic Medium.The Three-Dimensional Case”,2013, Communications in Statistics-Theory and Methods 42, 2259-2270

E27. Maaita J.O.,Meletlidou E., Vakakis A.F., Rothos V.,2013, “The effect of slow flow dynamics on the Oscillations of a Singular Damped System with an Essentially Nonlinear Attachment” , Journal of Applied Nonlinear Dynamics, 2(4) 315-328.

E28. Maaita J.O.,Meletlidou E., 2013, “Analytical Homoclinic Solution of a Two-Dimensional Nonlinear System of Differential Equations”, Journal of Nonlinear Dynamics, Volume2013, ArticleID879040,4pages

E29. Maaita J.O.,Meletlidou E., Vakakis A.F., Rothos V.,2013, “The dynamics of the slow flow of a singular damped nonlinear system and their comparison” , Journal of Applied Nonlinear Dynamics, in Press

E30. N.Kallinikos and E. Meletlidou, 2013, “Symmetries of charged particle motion under time independent electromagnetic fields”, J.Phys.A:Math.Theor. 46, 305202

Δημοσιεύσεις σε πρακτικά συνεδρίων με κριτές

Σ1. E.Meletlidou & S.Ichtiaroglou: 1994, ‘A non-integrability test for perturbed Hamiltonian systems of two degrees of freedom’ in J.Seimenis (ed.) ‘Hamiltonian Mechanics: Integrability and chaotic behavior’, NATO ASI Series, Plenum, NY, 221-228.

Σ2. S.Ichtiaroglou & E.Meletlidou: 1998, ‘The non-integrability of perturbed Hamiltonian systems of n degrees of freedom and the continuation of periodic orbits’ in C.Simo (ed.) ‘Hamiltonian sytems with three or more degrees of freedom’, NATO ASI Series, Plenum, NY, 429-433.

Σ3. K.Wodnar, M.Hampejs, E.Meletlidou and S.Ichtiaroglou: 1999, "The symplectic eigenvalue problem, Lyapunov numbers and related questions", in R.Dvorak et al. (eds.) "Modern Astrometery and Astrodynamics", Austrian Academy of Science, Vienna, pp. 233-278.

Σ4. Ε.Meletlidou: 2001, ‘The Mel’nikov subharmonic function and the non-existence of analytic integrals in non-autonomous systems’ in R.Dvorak and J.Henrard (eds.) “New Developments in the Dynamics of Planetary Systems”, Kluwer Academic Publishers pp. 161-166.

Σ5. D.Voyatzi and E.Meletlidou: 2006, “A criterion on the nonexistence of exact invariants in adiabatic systems”, in "Recent Advances in Astronomy and Astrophysics" (Editor: N. Solomos), American Institute of Physics (AIP) Conference Series vol. 848, pp.753-757.