Refereed Papers


1.)Katsanikas M., Patsis P.A. and Zachilas L. [2009] ``The Structure  of the Phase Space in Galactic Potentials of Three Degrees of Freedom'' Chaos in Astronomy, Springer, Berlin Heidelberg, 235-239. (1 known citation)

2.) Katsanikas M. and Patsis P.A. [2011] ``The Structure of Invariant  Tori in a 3D Galactic Potential'', Int. Journal Bif. Chaos, 21, 467-496. (23 known citations)

3.) Katsanikas M., Patsis P.A. and Contopoulos G. [2011] ``The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation'', Int. Journal Bif. Chaos 21, 2321-2330. (5 known citations)

4.)  Katsanikas M., Patsis P.A. and Pinotsis A.D. [2011] ``Chains of rotational tori and filamentary structures close to high multiplicity periodic orbits in a 3D galactic potential'', Int. Journal Bif. Chaos 21, 2331-2342. (9 known citations)

5.)  Katsanikas M. [2012] `` Simple Instability in a 3D autonomous Hamiltonian system of galactic type'' Asociacion Argentina de Astronomia Workshop Series, 3, 367-372.

6.)  Katsanikas M., Patsis P.A. and Contopoulos G. [2013] ``Stickiness and Instabilities in a 3D rotating galactic potential''  Int. Journal Bif. Chaos 23, 1330005 [30 pages]. (7 known citations)

7.) Zachilas L., Katsanikas M. and Patsis P.A. [2013] ``The structure  of phase space close to fixed points in a 4D symplectic map''  Int. Journal Bif. Chaos 23, 1330023 [7 pages] - Feature Article. (5 known citations)

8.)  Efthymiopoulos C., Contopoulos G. and Katsanikas M. [2014] ``Analytical invariant manifolds near unstable points and the structure of chaos'' Cel.Mech.Dyn.Astron.  119, 331-356. (3 known citations)

9.) Patsis P.A. and Katsanikas M. [2014] ``The phase space of boxy-peanut and X-shaped bulges in galaxies - I. Properties of non-periodic orbits'' Mon. Not. R. Astron. Soc. 445, 3525-3545. (20 known citations)

10.) Patsis P.A. and Katsanikas M. [2014] ``The phase space of boxy-peanut and X-shaped bulges in galaxies - II. The relation between face-on and edge-on boxiness''  Mon. Not. R. Astron. Soc. 445, 3546-3556. (16 known citations)

11.) Contopoulos I., Nathanail A. and Katsanikas M. [2015] ``The Cosmic Battery in Astrophysical Accretion Disks'',  Astroph.J, 805, article id. 105, 11pp. (20 known citations)

12.) Lukes-Gerakopoulos G., Katsanikas M., Patsis P.A. and Seyrich J. [2016] ``The dynamics of a spinning particle in a linear in spin Hamiltonian approximation'', Phys. Rev. D, 94, 024024. (4 known citations)

13.) Katsanikas M. and Wiggins S. [2018], ``Phase Space Structure and Transport in a Caldera Potential Energy Surface'', Int. Journal Bif. Chaos, 28, 1830042 [20 pages]- Feature Article.

(A figure from this paper is the cover page of the International Journal of Bifurcation and Chaos (IJBC) vol. 28, number 13, December 2018.)

14.) Katsanikas M. and Wiggins S. [2019], ``Phase Space Analysis of the Non-existence of  Dynamical Matching in a Stretched Caldera Potential Energy Surface'', Int. Journal Bif. Chaos, 29,1950057 [9 pages].

15.) Katsanikas M. and Patsis P.A. [2019] ``The Diffusion and the Structure of the Phase Space close to Vertical Lyapunov Orbits around Equilibrium Points L1,2 of Barred Galaxies'', Mon. Not. R. Astron. Soc. (it will be submitted).

16.) Katsanikas M. and Wiggins S. [2019], ``Phase Space Structure and Transport in a Mesa Caldera Model'', (in preparation).

17.) Katsanikas M. and Wiggins S. [2019], ``Mathematical Theory of the Mechanisms of Transport in a  Caldera Potential Energy Surface'' (in preparation).

 

Papers in Conference Proceedings and Collective Books


1.) Katsanikas M. and Patsis P.A. [2010] ``The Orbital Behavior at the neighborhood of Stable Periodic Orbits in a 3D Galactic Potential''Proceedings of the 9th International Conference of the Hellenic Astronomical Society, San Francisco:Astronomical Society of the Pacific, 424, 380-381.

2.) Katsanikas M. [2013] "The structure of Invariant tori around L4 in the case of the Sun-Jupiter system'' Proceedings of the 11th International Conference of the Hellenic Astronomical Society, 19.

2.) Contopoulos G., Efthymiopoulos C. and Katsanikas M. [2013] ``Analytical study of the structure of chaos near unstable points'' Proceedings of the 11th International Conference of the  Hellenic Astronomical Society, 26.

4.) Contopoulos G., Efthymiopoulos C., Harsoula M. and Katsanikas M. [2014]

``Analytical study of the order and Chaos'' Proceedings of the Academy of Athens, Vol. 89A, 89-104 (in Greek).

 

Theses

1.) Katsanikas M. [2005] M.Sc Thesis: ''The structure  of the  phase space in galactic potentials of three degrees of freedom'' (in Greek), Department  of Physics  of the National and Kapodistrian University of Athens, Greece (Supervisor: P.A. Patsis).

2.)  Katsanikas M., [2012]  Ph.D Thesis: "The structure  of the  phase space  in rotating    Hamiltonian Systems  with three degrees of freedom of galactic type" (in Greek), Department  of Physics of the National and Kapodistrian  University of Athens, Greece & Research  Center for Astronomy and Applied Mathematics of theAcademy of Athens, Greece (Supervisors: P.A. Patsis - A. Pinotsis).

 

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