G.Voyatzis

Research Topics

A. Celestial Mechanics

· Three Body Problem and Extra-Solar Systems (A list of possible resonant systems)

· G. Voyatzis, Chaos, Order, and Periodic Orbits in 3 : 1 Resonant Planetary Dynamics, ApJ, 675, Issue 1, Page 802–816, Mar 2008

· G.Voyatzis and J.Hadjidemetriou, “Symmetric and Asymmetric librations in Planetary and Satellite systems at the 2/1 resonance”, Cel.Mech and Dyn.Ast. 93, 263-294, 2005

· http://dx.doi.org/10.1007/s10569-005-1382-3

· G. Voyatzis and J. Hadjidemetriou, «Symmetric and asymmetric 3:1 resonant periodic orbits with an application to the 55Cnc extra-solar system», Cel.Mech and Dyn.Ast. http://dx.doi.org/10.1007/s10569-006-9005-1

· G. Voyatzis, T. Kotsialos and J.D.Hadjidemetriou, “Computation of asymmetric periodic configurations in the three body problem”, in Proc. of 2^nd Int. Conference “From Scientific computing to Computational Engineering”, D.T. Tsahalis (ed), Athens, 2006. [pdf]

· Resonant Motion in Asteroid Belt

· J. Hadjidemetriou and G.Voyatzis, “The 2/1 and 3/2 resonant asteroid motion: A symplectic mapping approach”, Cel.Mech and Dyn.Ast., 78, 137-150, 2000.

· G.Voyatzis, “Chaos at moderate eccentricities for the 2/1 resonant asteroid motion”, 5th Hellenic Astronomical Conference, Fodele 2001, [pdf]

· Resonant Motion in Kuiper Belt

· Celletti, A.; Kotoulas, T.; Voyatzis, G.; Hadjidemetriou, J. , The dynamical stability of a Kuiper Belt-like region, Mon. Not. R. Astron. Soc., 378, 1153-1164 (2007) , (2007MNRAS.378.1153C )

· G. Voyatzis, T. Kotoulas and J.Hadjidemetriou, “Symmetric and Non symmetric Periodic Orbits in the exterior Mean Motion Resonances with Neptune”, Cel.Mech and Dyn.Ast., , 91, 191-202, 2005, http://dx.doi.org/10.1007/s10569-004-0891-9

· T.Kotoulas and G.Voyatzis, “Bifurcations of periodic orbits and potential 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. [pdf]

· 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 and Dyn.Ast., 88, 343-363, 2004 [pdf- summary]

· T. Kotoulas and G.Voyatzis, “A symplectic mapping model for the study of ¾ resonant trans-Neptunian motion and spectral dynamics”, 5th Hellenic Astronomical Conference, Fodele 2001, [pdf]

B. Hamiltonian Systems and Applications

· Particle Interaction with Gravitational Waves

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

http://dx.doi.org/10.1016/j.physleta.2005.12.019

· Non-twist Bifurcations

· G. Voyatzis and S.Ichtiaroglou, “Non-twist bifurcations of resonant tori in Hamiltonian systems”, Journal of Bifurcation and Chaos, 9, Νο.5, pp. 849-863, 1999

· G.Voyatzis, E.Meletlidou and S.Ictiaroglou, “Large scale chaos for arbitrarily small perturbations ”, Chaos,Soliton and Fractals, 14, 1179-1191, 2002. [draft pdf]

· Integrability

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

· 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.

· E.Meletlidou, G.Voyatzis and S.Ictiaroglou “Obstructions to the continuation of analytic integrals...”, Physics Letters A, 286, 55-60, 2001

C. Tools for Trajectory Classification (LFP analysis)

· 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.

· G.Voyatzis, “Low frequency spectral analysis and Classification of Hamiltonian Trajectories”,

§ LNP, 626, pp.126-134, 2003. [pdf]

· G.Voyatzis, “Power spectrum of Hamiltonian trajectories : The low frequency band”,

§ Presentation in the meeting “Hamiltonian Systems and Fourier Analysis”, Porquerolles 2001, [presentation in pdf]

· G. Voyatzis, G. Hadjivantsides and H. Varvoglis, “Low Frequency Spectral analysis of Resonant Asteroid Motion”,

Presentation in NATO ASI meeting , Cortina 2003, [presentation in pdf]

D. Digital Information Analysis with Chaotic Systems

· Watermarking

(Projects 1995-1998 – see http://poseidon.csd.auth.gr/EN/ RESEARCH-WATERMARKING)

10/9/06

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