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 [2022], "Chaos Indicators, Phase Space and Chemical Reaction Dynamics", special issue, Physica D , ISSN: 0167-2789.

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] -Feature Article.

5.) 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.

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], "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) Geng Y., Katsanikas M., Agaoglou M. and Wiggins S. [2021], "The Influence of a Pitchfork Bifurcation of the Critical Points of a Symmetric Caldera Potential Energy Surface on Dynamical Matching" Chemical Physics Letters, 768, 138397.

19) Crossley R., Agaoglou M., Katsanikas M. and Wiggins S. [2021], "From Poincare Maps to Lagrangian Descriptors: The Case of the Valley Ridge Inflection Point Potential", Regular and Chaotic Dynamics, 26 (2), 147-164.

20) Geng, Y., Katsanikas M., Agaoglou M. and Wiggins S. [2021], "The bifurcations of the critical points and the role of the depth in a symmetric Caldera potential energy surface", Int. Journal Bif. Chaos, 31, 2130034 - Feature Article.

21) Agaoglou M., Garcia-Garrido V.J., Katsanikas M. and Wiggins S. [2021], "Visualizing the Phase Space of the HeI_2 van der Waals Complex using Lagrangian Descriptors", Commun. Nonlinear Sci. Numer. Simulat., 103, 105993.

22) Katsanikas M. and Wiggins S. [2021], "The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or more Degrees of Freedom - I," Int. Journal Bif. Chaos, 31, 2130028 - Feature Article.

23) Katsanikas M. and Wiggins S. [2021], "The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or more Degrees of Freedom - II", Int. Journal Bif. Chaos, 31, 2150188.

24) Katsanikas M., Agaoglou M. and Wiggins S., [2021], "Bifurcation of dividing surfaces constructed from a pitchfork bifurcation of periodic orbits in a symmetric potential energy surface with a post-transition-state", Int. Journal Bif. and Chaos,31 (14), 2130041.-Feature Article

25) Haigh D., Katsanikas M., Agaoglou M. and Wiggins S. [2021], "The time evolution of the trajectories after the selectivity in a symmetric potential

energy surface with a post-transition-state bifurcation", Regular and Chaotic Dynamics, 26, 763-774.

26) Katsanikas M., Sanjuan BA., Montoya FG., García-Garrido VJ and Wiggins S. [2022] "Bifurcation study on a degenerate double van der Waals cirque potential energy surface using Lagrangian descriptors", Communications in Nonlinear Science and Numerical Simulation 105, 106089.

27) Agaoglou M., Katsanikas M. and Wiggins S. [2022] “The Influence of a Parameter that Controls the Asymmetry of a Potential Energy Surface with an Entrance Channel and Two Potential Wells”, Regular and Chaotic Dynamics, Vol. 27, Issue 2, 232 - 241.

28) Katsanikas M., Agaoglou M. and Wiggins S. [2022] "Bifurcation of dividing surfaces constructed from period-doubling bifurcations of periodic orbits in a caldera potential energy surface", Int. Journal Bif. Chaos 32 (07), 2230015 - Feature Article (A figure from this paper is the cover page of the International Journal of Bifurcation and Chaos (IJBC) vol.32, number 07.)

29) Katsanikas M., Agaoglou M., Wiggins S. and Mancho A.M. [2022] "Phase space transport in a symmetric Caldera potential with three index-1 saddles and no minima", Int. Journal Bif. Chaos 32 (10), 2230023 - Feature Article.

30) Katsanikas M. and Wiggins S. [2022], "The nature of reactive and non-reactive trajectories for a three dimensional Caldera potential energy surface", Physica D, 435, 133293

31) Katsanikas M., Agaoglou M. and Montoya FG.,[2022] ",Introduction to special issue: Chaos Indicators, Phase Space and Chemical Reaction Dynamics", Physica D, 439, 133385.

32) Katsanikas M. and Patsis P.A. [2022], "The phase space structure in the vicinity of vertical Lyapunov orbits around L1,2 in a barred galaxy model", Mon. Not. R. Astron. Soc., 516, 5232-5243.

33) Katsanikas M., Hillebrand M., Skokos Ch. and Wiggins S. [2022], "The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface",Int. Journal Bif. Chaos 32 (12), 2230030.-Feature Article.

34) Hillebrand M., Zimper S.,Ngapasare A., Katsanikas M., Wiggins S., Skokos Ch. [2022], "Quantifying chaos using Lagrangian descriptors", Chaos, 32, 123122.

35) Katsanikas M., Hillebrand M., Skokos Ch. and Wiggins S. [2023], "A new type of dynamical matching in an asymmetric Caldera potential energy surface", Chemical Physics Letters, 811, 140208.

36) Katsanikas M. and Wiggins S. [2023], "The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or more Degrees of Freedom - III", Int. Journal Bif. Chaos, 33, 2350088.

37) Katsanikas M. and Wiggins S. [2023], "The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or more Degrees of Freedom - IV", Int. Journal. Bif. Chaos, 33, 2330020 - Feature Article.

38) Wiggins S. and Katsanikas M. [2023], "Dynamical Matching in a. three-dimensional Caldera potential-energy surface", Phys.Rev. E, 108, 014206.

39) Zimper S.,Ngapasare A., Hillebrand M., Katsanikas M., Wiggins S. and Skokos Ch. [2023], "Performance of chaos diagnostics based on Lagrangian descriptors.
Application to the 4D standard map", Physica D, 453, 133833.

40) Hillebrand M., Katsanikas M., Wiggins S. and Skokos Ch. [2023], "Navigating Phase Space Transport with the origin-fate map" Phys. Rev. E, 108, 024211.

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).