Research Topics & publications of G. Voyatzis

  

 

A. CELESTIAL MECHANICS

Three Body problem, periodic orbits,  Applications to dynamics of  Extrasolar systems, Asteroids, Satellites

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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

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J. Hadjidemetriou and G.Voyatzis, “Long-term evolution of Asteroids near a resonance”, Cel.Mech.Dyn.Astr. 57, pp. 95, 1993

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H. Varvoglis, G.Voyatzis and H.Scholl, “Spectral Analysis of Asteroidal Trajectories in the 2:1 resonance”,  Astron. Astrophys. 300, pp.591-596, 1995

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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)

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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.

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G.Voyatzis, “Chaos at moderate eccentricities for the 2/1 resonant asteroid motion”, in Proc. of 5th Hel.A.S. Conference, Fodele-Crete (2001)

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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

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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

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G. Voyatzis and T. Kotoulas, “Planar resonant periodic orbits in Kuiper belt Dynamics”,  Planetary and Space Sc.  53, 1189-1199, 2005

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T. Kotoulas and G.Voyatzis, “Three-dimentional periodic orbits in exterior MMR with Neptune” , Astronomy and Astrophysics,  441, 807-814, 2005

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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

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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)

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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

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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

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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

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Celletti A., T. Kotoulas, G.Voyatzis and J.Hadjidemetriou, ”The dynamical stability of Kuiper belt dynamics”,  MNRAS, 378, 1153-1164 (2007)

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Voyatzis G.  Chaos, Order and periodic orbits in the 3 :1 resonant planetary dynamics,  Astrophysical Journal (ApJ), 675, 802-816 (2008)

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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

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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)

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Hadjidemetriou J.D., Psychoyos D. and Voyatzis G., “The 1/1 resonance in extrasolar planetary systems”,  Cel.Mech.Dyn.Astr. 104, 23-38 (2009)

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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).

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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)

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Celletti A., G.Voyatzis, “Regions of stability in rotational dynamics”, Cel.Mech.Dyn.Astr. 107, 101-113 (2010)

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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)

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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)

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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)

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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)

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Tsiganis K., Varvoglis H., Tsirvoulis G., Voyatzis G. “Constraining asteroid dynamical models using GAIA data”, Planetary and SpaceScience 73, 47–51 (2012)

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Antoniadou K., Voyatzis G., “2/1 resonant periodic orbits in three dimensional planetary systems”, Celest Mech Dyn Astr  115, 161–184  (2013)

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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)

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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)

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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)

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Antoniadou K., Voyatzis G. “Resonant periodic orbits in the exoplanetary systems”, Astrophysics and Space Science, Astrophys.Space Sci. 349, 657-676 (2014)

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Voyatzis G., Antoniadou K., Tsiganis K., “Vertical instability and inclination excitation during planetary migration”, Cel.Mech.Dyn.Astr. (2014)

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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)

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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

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Voyatzis G., “Orbital Evolution in Extra-solar systems”, Hipparhos, Vol 2, issue 11, page 13-18, 2014

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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

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Antoniadou K. and Voyatzis G. Highly eccentric exoplanets trapped in mean-motion resonances”, Proceedings of 12th Hel.A.S Conference, 2015

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Mourtetzikoglou A. and Voyatzis G., “A search for stable orbits in triple-star systems”, Proceedings of 12th Hel.A.S Conference, 2015

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Kotsas O. and Voyatzis G. “Orbits of long-term stability in three-planet systems”, Proceedings of 12th Hel.A.S Conference, 2015

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Voyatzis G., “Resonant capture of multiple planet systems under dissipation and stable orbital configurations”, European Phys. J. (2016)

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Orbital stability of coplanar two-planet exosystems with high eccentricities, MNRAS, 2016

  In Greek

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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.

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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

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G. Voyatzis, “Modulated waves in one dimensional nonlinear physical systems”,  MSc thesis, Dijon, ERASMUS,1988

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S. Ichtiaroglou and G. Voyatzis,  “Integrable Potentials with Logarithmic Integrals of Motion”, J. Phys. A:Math.Gen, 21, pp. 3537-3546, 1988

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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

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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

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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

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G.Voyatzis and S.Ichtiaroglou, “The four dimensional hyperbolic twist map”,  in Proc. of 2nd Hel.A.S. Conference, Thessaloniki (1995)

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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

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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

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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.

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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

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Γ.Βουγιατζής και Σ.Ιχτιάρογλου, «Φασματική ανάλυση τροχιών σε Διαταραγμένα Χαμιλτονιανά Συστήματα» , Πρακτικά 1ου Πανελλήνιου Αστρονομικού Συνεδρίου, σελ. 435-440, 1992

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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)

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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

 

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A.Nikolaidis, S. Ichtiaroglou and G. Voyatzis, “Chaotic versus Regular Behavior in Yang Mills theories”, Phys. Rev. D, 52, pp. 3700-3703, 1995

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L.Vlahos, G.Voyatzis and D.Papadopoulos, “ Impulsive electron acceleration by gravitational waves”,  Astrophys.J.,  604, 297-305, 2004

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L.Vlahos, G.Voyatzis and D.Papadopoulos, “Are Gamma Ray Bursts Driven by Gravitational Waves?”, Baltic Astronomy, Vol. 13, p. 324-327, 2004

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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

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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)

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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

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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.

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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

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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

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G.Voyatzis and I.Pitas, “Digital Image Watermarking using Mixing Systems”, Computer & Graphics, 22, pp. 405-416, 1998

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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

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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

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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

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G.Voyatzis and I.Pitas, “Protecting digital image copyrights: a framework”, IEEE Computer Graphics & Applications,  vol. 19, no. 1, pp. 18 –24, 1999

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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

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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.

 

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