Books (in Greek)

Εισαγωγή στα Μη Γραμμικά Δυναμικά Συστήματα, Γ. Βουγιατζής & Ε. Μελετλίδου, 2015/2022 Καλλιπος (έκδοση 1.2, 2022)

Διαφορικές Εξισώσεις και Εφαρμογές, Γ. Βουγιατζής, Γ. Μπόζης, Δ. Παπαδόπουλος (Εκδ. Κλειδάριθμος)

Research Topics & publications of G. Voyatzis

		A. CELESTIAL MECHANICS Three Body problem, periodic orbits,  Applications to dynamics of  Extrasolar systems, Asteroids, Satellites

ads		S. Ichtiaroglou and G. Voyatzis, “On the Effect of the Eccentricity of a Planetary Orbit on the Stability of Satellite Orbits”, J. Astrophysics and Astronomy,  11, pp. 11-22, 1990
ads		J. Hadjidemetriou and G.Voyatzis, “Long-term evolution of Asteroids near a resonance”, Cel.Mech.Dyn.Astr. 57, pp. 95, 1993
ads		H. Varvoglis, G.Voyatzis and H.Scholl, “Spectral Analysis of Asteroidal Trajectories in the 2:1 resonance”,  Astron. Astrophys. 300, pp.591-596, 1995
helas	pdf	T. Kotoulas and G.Voyatzis, “A symplectic mapping model for the study of ¾ resonant trans-Neptunian motion and spectral dynamics” , in Proc. of 5th Hel.A.S. Conference, Fodele-Crete (2001)
ads	pub	J. Hadjidemetriou and G.Voyatzis, “The 2/1 and 3/2 resonant asteroid motion: A symplectic mapping approach”,  Cel.Mech.Dyn.Astr. 78, 137-150, 2000.
ads	pdf	G.Voyatzis, “Chaos at moderate eccentricities for the 2/1 resonant asteroid motion”, in Proc. of 5th Hel.A.S. Conference, Fodele-Crete (2001)
ads		T. Kotoulas and G.Voyatzis, "Comparative study of the 2:3 and 3:4 resonant motion with Neptune. An application of symplectic mappings and low frequency analysis.", Cel.Mech.Dyn.Astr., 88, 343-363, 2004
ads		G.Voyatzis, T.Kotoulas and J.Hadjidemetriou, “Symmetric and Non symmetric Periodic Orbits in the exterior Mean Motion Resonances with Neptune”, Cel.Mech.Dyn.Astr. , 91, 191-202, 2005
ads		G. Voyatzis and T. Kotoulas, “Planar resonant periodic orbits in Kuiper belt Dynamics”,  Planetary and Space Sc.  53, 1189-1199, 2005
ads		T. Kotoulas and G.Voyatzis, “Three-dimentional periodic orbits in exterior MMR with Neptune” , Astronomy and Astrophysics,  441, 807-814, 2005
ads	pdf	T. Kotulas and G. Voyatzis, “Bifurcation of Periodic orbits and Stability regions in Kuiper Belt Dynamics”,  in Proc. of  IAU Colloquium No.167, “Dynamics of Populations of Planetary systems” Z.Knezevic and A.Milani (eds), Cambridge, 2005
ads	pdf	T. Κotoulas and G.Voyatzis, “Dynamics of KBOs near the 4:5 mean motion resonance with Neptune”, A.I.P. Proceedings, 848, 627-636, 2006 (7th Hel.A.S. Conference, Kefalonia, 2005)
ads		G.Voyatzis and J.Hadjidemetriou, “Symmetric and Asymmetric librations in Planetary and Satellite systems at the 2/1 resonance”,  Cel.Mech.Dyn.Astr. 93, 263-294, 2005
ads		G. Voyatzis and J. Hadjidemetriou, «Symmetric and asymmetric 3:1 resonant periodic orbits with an application to the 55Cnc extra-solar system», Cel.Mech.Dyn.Astr., 95, 259-271, 2006
	pdf	G. Voyatzis, T. Kotsialos and J.D.Hadjidemetriou, “Computation of asymmetric periodic configurations in the three body problem”,  in Proc. of 2nd Int. Conference “From Scientific computing to Computational Engineering”, D.T. Tsahalis (ed), Athens,  2006
ads		Celletti A., T. Kotoulas, G.Voyatzis and J.Hadjidemetriou, ”The dynamical stability of Kuiper belt dynamics”,  MNRAS, 378, 1153-1164 (2007)
ads	draft	Voyatzis G.  Chaos, Order and periodic orbits in the 3 :1 resonant planetary dynamics,  Astrophysical Journal (ApJ), 675, 802-816 (2008)
	pdf	G. Voyatzis and T. Kotoulas, “Bifurcations of periodic orbits in the general 3-body planetary problem”, in Proc. of the 2008 International Conference “Dynamics of Celestial Bodies”, pp. 197-200, 2008
ads	arxiv	Voyatzis G., Kotoulas T. and J.D. Hadjidemetriou, “On the 2/1 resonant planetary dynamics – periodic orbits and dynamical stability”,  M.N.R.A.S., 395 (4), 2147-2156 (2009)
ads		Hadjidemetriou J.D., Psychoyos D. and Voyatzis G., “The 1/1 resonance in extrasolar planetary systems”,  Cel.Mech.Dyn.Astr. 104, 23-38 (2009)
ads		J.D. Hadjidemetriou and G. Voyatzis, “Routes to Chaos in Resonant Extrasolar Planetary Systems”,  Astrophysics and Space Science Proceedings (Springer) : Chaos in Astronomy,  Contopoulos, G.; Patsis, P.A. (Eds.), p. 269-283  (2009).
ads		Hadjidemetriou J.D. and Voyatzis G., “On the dynamics of extrasolar planetary systems under dissipation:Migration of Planets”, Cel.Mech.Dyn.Astr. 107, 3-19 (2010)
ads		Celletti A., G.Voyatzis, “Regions of stability in rotational dynamics”, Cel.Mech.Dyn.Astr. 107, 101-113 (2010)
ads		Hadjidemetriou J.D. and Voyatzis G., “The 1/1 resonance in extrasolar systems. Migration from planetary to satellite orbits”, Cel.Mech.Dyn.Astr., 111, 179–199  (2011)
ads	arxiv	Antoniadou K.I., Voyatzis G., Kotoulas T., “On the bifurcation and continuation of periodic orbits in the three-body problem”, International Journal of Bifurcation and Chaos, Vol. 21, No. 8,  2211–2219 (2011)
SS	pdf	Hadjidemetriou J.D. and Voyatzis G., “Different types of attractors in the Three Body Problem perturbed by dissipative terms”, International Journal of Bifurcation and Chaos, Vol. 21, No. 8,  2195–2209 (2011)
ads		Voyatzis G., Gkolias I., Varvoglis H., “The dynamics of the elliptic Hill problem: periodic orbits and stability regions”, Celest Mech Dyn Astr  113, 125–139  (2012)
ads		Tsiganis K., Varvoglis H., Tsirvoulis G., Voyatzis G. “Constraining asteroid dynamical models using GAIA data”, Planetary and SpaceScience 73, 47–51 (2012)
ads		Antoniadou K., Voyatzis G., “2/1 resonant periodic orbits in three dimensional planetary systems”, Celest Mech Dyn Astr  115, 161–184  (2013)
ads	arxiv	Voyatzis G., Hadjidemetriou J.D., Veras D., Varvoglis H., “Multiplanet destabilization and escape in post-main-sequence systems”, M.N.R.A.S. 430, 3383–3396 (2013)
arxiv	pdf	Voyatzis G., Antoniadou K., Hadjidemetriou J.D. “Resonant planetary dynamics: periodic orbits and long term stability”, in Proc. of 10th HSTAM International congress on Mechanics,  Chania, Crete, Greece, 25-27 May (2013)
helas	pdf	Antoniadou K., Voyatzis G., Hadjidemetriou J.D. “On the dynamics of the three dimensional planetary systems”, in Proc. of 11th Hel.A.S. Conference, Athens, 8-12 September (2013)
pub	arxiv	Antoniadou K., Voyatzis G. “Resonant periodic orbits in the exoplanetary systems”, Astrophysics and Space Science, Astrophys.Space Sci. 349, 657-676 (2014)
pub	arxiv	Voyatzis G., Antoniadou K., Tsiganis K., “Vertical instability and inclination excitation during planetary migration”, Cel.Mech.Dyn.Astr. (2014)
	pdf	Antoniadou K. Voyatzis G., Varvoglis H., “Continuation and stability deduction of resonant periodic orbits in three dimensional systems”, Proceedings of the 6th International Conference on Numerical Analysis, pp 7-12 (2014)
pub	pdf	Antoniadou K. Voyatzis G., Varvoglis H., “1/1 resonant periodic orbits in three dimensional planetary systems”, Proceedings IAU Symposium “Complex Planetary Systems”, No. 310, Namur, Belgium, 2014
	draft	Voyatzis G., “Orbital Evolution in Extra-solar systems”, Hipparhos, Vol 2, issue 11, page 13-18, 2014
ads	pdf	Antoniadou K. and Voyatzis G. “Long-term orbital stability of exosolar planetary systems with highly eccentric orbits”, Proceedings of XXIXth IAU General Assembly Astronomy in Focus, Volume 1, August 2015
helas	pdf	Antoniadou K. and Voyatzis G. Highly eccentric exoplanets trapped in mean-motion resonances”, Proceedings of 12th Hel.A.S Conference, 2015
helas	pdf	Mourtetzikoglou A. and Voyatzis G., “A search for stable orbits in triple-star systems”, Proceedings of 12th Hel.A.S Conference, 2015
	pdf	Kotsas O. and Voyatzis G. “Orbits of long-term stability in three-planet systems”, Proceedings of 12th Hel.A.S Conference, 2015
arxiv	draft	Voyatzis G., “Resonant capture of multiple planet systems under dissipation and stable orbital configurations”, European Phys. J. (2016)
ads		Orbital stability of coplanar two-planet exosystems with high eccentricities, MNRAS, 2016

In Greek

pdf	Γ.Βουγιατζής και Ι.Χατζηδημητρίου, «Δυναμική των Αστεροειδών στους συντονισμούς 2/1 και 3/2» Πρακτικά 13ου Σχολείου/Συνέδριου Μη Γραμμικής Δυναμικής (Χανιά 2000), Τάξη και Χάος Τόμος 7, Εκδόσεις Γ.Πνευματικός Αθήνα 2002.
pdf	Γ. Βουγιατζής, «Ασύμμετρες περιοδικές τροχιές στο πρόβλημα των τριών σωμάτων»,  Πρακτικά 18ου Σχολείου/Συνέδριου Μη Γραμμικής Δυναμικής(Βόλος 2005),   Τάξη και Χάος Τόμος 9, Πανεπιστημιακές. Εκδόσεις Θεσσαλίας, 2006.

	B. HAMILTONIAN SYSTEMS Integrability, Periodic orbits, Spectral Analysis of Trajectories, Chaos

	pdf	G. Voyatzis, “Modulated waves in one dimensional nonlinear physical systems”,  MSc thesis, Dijon, ERASMUS,1988
pub	pdf	S. Ichtiaroglou and G. Voyatzis,  “Integrable Potentials with Logarithmic Integrals of Motion”, J. Phys. A:Math.Gen, 21, pp. 3537-3546, 1988
pub		S. Ichtiaroglou , G. Voyatzis and E.Meletlidou, “Conditions for the Existence of Periodic Solutions to Integrable Two-dimensional Hamiltonian Systems”, Phys. Rev., 43A, no. 12,  pp. 7043-7045, 1991
pub	pdf	G.Voyatzis and S.Ichtiaroglou, “Spectral properties of Trajectories in Near Integrable Hamiltonian Systems", in Proceeding of  the conference “Chaotic Dynamics : Theory and Practice”, NATO ASI series Vol 298, p. 349, Plenum, NY, 1992
pub	pdf	G. Voyatzis  and S. Ichtiaroglou, “On the Spectral Analysis of Trajectories in Near Integrable Hamiltonian Systems”, J. Phys. A : Math.Gen, 25, pp. 5931-5943, 1992
ads	pdf	G.Voyatzis and S.Ichtiaroglou, “The four dimensional hyperbolic twist map”,  in Proc. of 2nd Hel.A.S. Conference, Thessaloniki (1995)
pub		G. Voyatzis and S.Ichtiaroglou, “Degenerate bifurcations of resonant tori in Hamiltonian systems”,   Journal of  Bifurcation and Chaos, 9, Νο.5, pp. 849-863, 1999
pub		E.Meletlidou, G.Voyatzis and S.Ictiaroglou “Obstructions to the continuation of analytic integrals of Hamiltonian systems under non-Hamiltonian perturbations ”, Physics Letters A, 286, 55-60, 2001
pub	draft	G.Voyatzis, E.Meletlidou and S.Ictiaroglou, “Large scale chaos for arbitrarily small perturbations in non-twist Hamiltonian systems”,  Chaos,Soliton and Fractals, 14, 1179-1191, 2002.
ads	pdf	G.Voyatzis, “Low frequency spectral analysis and Classification of Hamiltonian Trajectories”, in Proc. Of Galaxies and Chaos, Lecture Notes in Physics,  vol.626, pp.126-134, 2003.

 In Greek

pdf	Γ.Βουγιατζής και Σ.Ιχτιάρογλου, «Φασματική ανάλυση τροχιών σε Διαταραγμένα Χαμιλτονιανά Συστήματα» , Πρακτικά 1ου Πανελλήνιου Αστρονομικού Συνεδρίου, σελ. 435-440, 1992
pdf	Γ. Βουγιατζής  «Συμπεριφορά των Ολοκληρωμάτων της Κίνησης Χαμιλτονιανών Συστημάτων Τριών Βαθμών Ελευθερίας υπό την Επίδραση Μικρών Διαταραχών»,  Διδακτορική Διατριβή, Τμήμα Φυσικής, Σχολή Θετικών Επιστημών, ΑΠΘ, 1993 (εαδδ)
pdf	Γ. Βουγιατζής, «Ισόχρονοι συντονισμοί και μη Στροφικά φαινόμενα σε Χαμιλτονιανά συστήματα»,  Πρακτικά 14ου Σχολείου/Συνέδριου Μη Γραμμικής Δυναμικής(Πάτρα 2000),   Τάξη και Χάος Τόμος 8, Εκδόσεις Σφακιανάκη, Θεσσαλονίκη 2003

C. HAMILTONIAN SYSTEMS and Applications in Physics

pub		A.Nikolaidis, S. Ichtiaroglou and G. Voyatzis, “Chaotic versus Regular Behavior in Yang Mills theories”, Phys. Rev. D, 52, pp. 3700-3703, 1995
ads		L.Vlahos, G.Voyatzis and D.Papadopoulos, “ Impulsive electron acceleration by gravitational waves”,  Astrophys.J.,  604, 297-305, 2004
ads		L.Vlahos, G.Voyatzis and D.Papadopoulos, “Are Gamma Ray Bursts Driven by Gravitational Waves?”, Baltic Astronomy, Vol. 13, p. 324-327, 2004
ads	pdf	G. Voyatzis, L.Vlahos,  S. Ichtiaroglou and D.Papadopoulos, “Acceleration of low energy charged particles by gravitational waves”,  Phys. Lett. Α, 352, 261-266, 2006
pub	draft	Koukouloyannis V., Tziotzios Th. and Voyatzis G., “A method for studying the stability and the existence of discrete breathers in a chain of coupled symplectic maps”,  Nonlinear phenomena in complex systems,  11 (2),  233-240 (2008)
pub	arxiv	Koukouloyannis V., Voyatzis G., Kevrekidis P.G., “Dynamics of Three Non-co-rotating Vortices in Bose-Einstein Condensates”, Physical Review E, 89, 042905 (2014)

D. CHAOTIC MAPPINGS Toral Automorphisms and Digital Image Watermarking

cs	pdf	G.Voyatzis and I.Pitas, “Chaotic Mixing of Digital Images and Applications to Watermarking” , in Proceeding of the European Conference on Multimedia Applications, Systems and Techniques, Vol. II, pp. 687-694,  Louvain-la-Neuve, Belgium, 1996.
ieee	ikee	G.Voyatzis and I.Pitas, “Applications of Toral Automorphisms in Image Watermarking”, In Proceeding of the IEEE International Conference on Image Processing,  Vol III, pp. 219-222, 1996
ieee	ikee	G. Voyatzis and I.Pitas, “Embedding Robust Watermarks by Chaotic Mixing”, in Proceeding of IEEE conference on Digital Signal Processing, Vol. 1, pp. 213-216, 1997
pub		G.Voyatzis and I.Pitas, “Digital Image Watermarking using Mixing Systems”, Computer & Graphics, 22, pp. 405-416, 1998
	pdf	G.Voyatzis, N.Nikolaidis and I.Pitas, “Digital Watermarking: An overview”, in Proceedings of the European Signal processing conference, Vol I, pp. 9-12, 1998
ieee		G.Voyatzis and I.Pitas, “Chaotic Watermarks for embedding in the spatial image domain”, In Proceeding of the IEEE International Conference on Image Processing,  Vol II,  pp. 432-436, 1998
	pdf	G.Voyatzis, N.Nikolaidis and I.Pitas, "Copyright Protection of Multimedia Documents:From Theory to Application", in Proc. of 4th Hellenic European Conf. on Computer Mathematics and its Applications, 1998
ieee		G.Voyatzis and I.Pitas, “Protecting digital image copyrights: a framework”, IEEE Computer Graphics & Applications,  vol. 19, no. 1, pp. 18 –24, 1999
ieee		G.Voyatzis and I.Pitas, “The use of Watermarks in the Protection of Digital Multimedia Data”, Proceedings of the IEEE, 87, no. 7, pp. 1197-1207, 1999
	pdf	G.Voyatzis and I.Pitas, “Problems and Challenges in Multimedia Networking and Content Protection”, in Proceedings of the Workshop on Trends and Important Challenges in Signal Processing,  TICSP Series #3 , Univ. of Tampere, Finland.

[back to main page]