Books

1)  Makrina Agaoglou, Broncio Aguilar-Sanjuan, Victor Jose García-Garrido, Rafael García-Meseguer, Francisco González-Montoya, Matthaios Katsanikas, Vladimír Krajňák, Shibabrat Naik, Stephen Wiggins [2019],

Chemical Reactions: A Journey into Phase Space

 DOI: 10.5281/zenodo.3568210  (The authors are listed in alphabetical order).

2) Makrina Agaoglou, Broncio Aguilar-Sanjuan, Víctor José García Garrido, Francisco González-Montoya, Matthaios Katsanikas, Vladimír Krajňák, Shibabrat Naik, Stephen Wiggins [2020],

Lagrangian Descriptors : Discovery and Quantification of Phase Space Structure and Transport

DOI: 10.5281/zenodo.3958985 (The authors are listed in alphabetical order).

 

Edited Volumes

1)  Matthaios Katsanikas (Managing editor), Makrina Agaoglou and  Francisco González Montoya, "Chaos Indicators, Phase Space and Chemical Reaction Dynamics"special issue, Physica D (expected in 2021).

 

Papers in Refereed Journals



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

2.) 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.

3.)  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.

4.)  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].

5.)  Zacharias 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.

6.)  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.

7.)  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.

8.)  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.

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

10.) 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.

11.) 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 and Article of the year 2018.

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

12.) 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].

13) Katsanikas M., García-Garrido Víctor J.  and Wiggins S. [2020], "The detection of Dynamical matching in a Caldera Hamiltonian System using Lagrangian Descriptors", Int. Journal.Bif.Chaos, 30 (09), 2030026 - Feature Article.

14)  Katsanikas M.,  García-Garrido Víctor J.  and Wiggins S. [2020] "The Dynamical Matching Mechanism in Phase Space for Caldera-Type Potential Energy Surfaces",  Chemical Physics Letters, 743, 137199.

15.) Agaoglou M., Garcia-Garrido  V. J., Katsanikas M. and Wiggins S. [2020], "The Phase Space Mechanism for Selectivity in a Potential Energy Surface with a Post-Transition-State Bifurcation'', Chemical Physics Letters, 754, 137610.

16.) Katsanikas M., Garcia-Garrido V. J., Agaoglou M. and Wiggins S. [2020], "The Phase Space analysis of a Potential Energy Surface with an Entrance Channel and Two Potential Wells'' , Phys. Rev. E, 102,  012215.

17) Garcia-Garrido V.J., Katsanikas M., Agaoglou M. and Wiggins S. [2020], "Tuning the branching ratio in a symmetric potential energy surface with a post-transition state bifurcation using external time dependence", Chemical Physics Letters, 754, 137714.

18.) Katsanikas M. and Patsis P.A. [2020] "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).

 

Papers in Conference Proceedings and Collective Books

A)  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'' in Contopoulos G. and Patsis P.A. (eds) "Chaos in Astronomy", Springer, Berlin Heidelberg, 235-239. 

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

B) Non-Refereed Papers

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 the Academy of Athens, Greece (Supervisors: P.A. Patsis - A. Pinotsis).

 

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