Associate Researcher  Assistant Professor Level, RCAAM of the Academy of Athens, Greece
Honorary Research Associate, School of Mathematics, University of Bristol, UK
Personal Information
Name: Matthaios
Surname: Katsanikas
Date of Birth: 04/01/1979
Place of Birth: Athens, Greece
Address at work: Research Center for Astronomy and Applied Mathematics (RCAAM), Academy of Athens, Soranou Efesiou 4, Athens, Greece, GR11527
Tel.: +30 2106597139
Emails: mkatsanikas@gmail.com, matthaios.katsanikas@bristol.ac.uk
Education
B.Sc in Mathematics (2002)  Department of Mathematics of the National and Kapodistrian University of Athens, Greece.
M.Sc in Astrophysics, Astronomy and Mechanics (2005)  Department of Physics of the National and Kapodistrian University of Athens, Greece.
Ph.D in Astrophysics and Applied Mathematics (2012)  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. Graduated with honors.
Research Interests and activities
1. Chaos Theory and Hamiltonian Systems in Physics and Dynamical Astronomy
(Applied Mathematics, Mathematical Physics and Astronomy)

Phase space geometry of Hamiltonian systems.

Visualization of 4D Poincaré sections for Hamiltonian systems and of 4D phase space of symplectic maps.

Numerical methods for distinguishing between regular and chaotic behavior in Hamiltonian systems.

Diffusion and Lyapunov exponents in Hamiltonian systems.

Phase space transport and invariant manifolds in Hamiltonian systems.

The structure of KAM (Kolmogorov  Arnold  Moser) tori and Arnold diffusion.

Numerical methods for locating periodic orbits  stability and bifurcations of periodic orbits in Hamiltonian systems.

Hamiltonian Hopf bifurcation and complex instability.

Machine learning in Hamiltonian systems.

Differential geometry and topology in chaos theory and Hamiltonian systems.

Celestial Mechanics  perturbation theory  normal forms.

Galactic dynamics  stellar dynamics of barred and disk galaxies.

Chaos in general relativity.

Chaos and Hamiltonian systems in Chemical Physics  Chemical reaction dynamics.
Regarding this activity, I am a member of the International Astronomical Union (IAU), of the Hellenic Astronomical Society and of the Hellenic Mathematical Society. I am also a member of the interdivision commission AF Celestial Mechanics and Dynamical Astronomy of the International Astronomical Union (IAU).
2. History, philosophy and popularization of science.

Philosophy of Mathematics and Physics.

Popularization of Mathematics, Physics, and Astronomy through the historical development, philosophy and the results of the scientific research of these disciplines.
Regarding this activity, I am a member of the British Society for the philosophy of science and member of the commission C2 communicating astronomy with the public, of the commission C3 history of astronomy and of the intercommission C1C3C4 working group for astronomy in culture of the International Astronomical Union (IAU).
Employment History
1) 6/9/2021now: Associate Researcher  Assistant Professor Level at the Research Center for Astronomy and Applied Mathematics (RCAAM), Academy of Athens, Greece.
2) 1/9/2017  31/8/2021: Research Associate in Applied Mathematics at School of Mathematics of the University of Bristol, UK.
3) 24/5/2012  31/8/2017: Postdoctoral Researcher at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens, Greece.
4) 3/12/2015  16/12/2015: Visiting Researcher at the Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic.
Participation in Research Projects
1) CHAMPS Project "Chemistry and Mathematics in Phase space", EPSRCsponsored Programme Grant involving Bristol University, Cardiff University, Imperial College and Leeds University from 1/9/2017 31/8/2021.
2) ``The origin of Astrophysical magnetic fields'' in the framework of Action ``Excellence'' (Aristeia) of the General Secretariat for Research and Technology of Greece and of the European Union at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens, from 13/1/2014 to 26/9/2015.
3.)``Analytic computation of Invariant Manifolds and the structure of Chaos'' at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 1/1/2013 to 31/12/2014.
4.) ``Dissemination of Research Results'' at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 24/5/2012 to 12/1/2014, from1/2/2012 to 23/5/2012 and from 1/12/2010 to 31/5/2011.
5.) ``Nonlinear phenomena in galactic disks'' at the Research Center for Astronomy and Applied Mathematics, Academy of Athens from 1/1/2010 to 15/6/2010.
6.) ``Preliminary Study of the impact of climate change on economic and social issues in Greece and in the Eastern Mediterranean'', sponsored by the MariopouleioKanaginis Foundation of Environmental Sciences in Greece, at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 1/1/2008 to 31/12/2008.
7.) ``Developing codes for studying the behavior of gas in galactic disks''at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 1/1/2006 to 31/12/2006.
8.) ``Qualitative and Quantitative analysis of chaotic regions in three dimensional galactic potentials'' at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 1/1/2005 to 31/12/2005.
9.) ``Study of the Structure of the phase space in galactic potentials of three degrees of freedom'' at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens from 1/1/2004 to 31/12/2004.
Talks
1.) Katsanikas M. [talk  16 July 2010] ``The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation'', International Conference "Nonlinear Dynamics and Complexity:Theory, Methods and Applications", dedicated to the 60th birthday of Tassos Bountis, Thessaloniki 1216 July 2010, Greece.
2.) Katsanikas M. [talk  13 July 2011] `` The structure of the phase space in a 3D autonomous Hamiltonian system of galactic type'', Third La Plata International school in Astronomy and Geophysics: "Chaos, Diffusion and nonIntegrability in Hamiltonian systems Applications to Astronomy", La Plata 1115 July 2011, Argentina.
3.) Katsanikas M. [talk  8 May 2012] `` The structure of the phase space in galactic potentials of three degrees of freedom'' in seminar series of the Research center for Astronomy and Applied Mathematics of the Academy of Athens, Greece.
4.) Katsanikas M. [invited talk  22 June 2012] `` The structure of the phase space in a 3D autonomous Hamiltonian system of galactic type and 4D symplectic maps'', invited talk in the Mathematics Institute, University of Warwick, United Kingdom.
5.) Katsanikas M. [talk  20 June 2013] ``Lyapunov Characteristic Numbers and the structure of the Phase space in the neighborhood of Simple and Double unstable fixed points in a 4D Symplectic map'' International Conference ``Methods of Chaos Detection and Predictability: Theory and Applications (MCDPTA13)'' 1721 June 2013, Max Planck Institute for the Physics of Complex Systems, Dresden, Germany.
6.) Katsanikas M. [invited talk  8 December 2015] ``Chaos and Dynamics in 3D Autonomous Hamiltonian systems of galactic type and 4D symplectic maps'' Invited talk in the Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic.
7.) Katsanikas M. [invited talk  13 July 2018] ``Phase Space Structure and Transport in a Caldera Potential Energy Surface'' CHAMPS Research Day, Imperial College London (London, UK).
8.) Katsanikas M. [talk  26 July 2018] ``Phase Space Structure and Transport in a Caldera Potential Energy Surface'' Workshop "Geometry of Chemical Reaction Dynamics in Gas and Condensed Phases" (1727 July 2018) at Telluride Science Research Center (Colorado, USA).
9.) Katsanikas M. [talk  19 March 2019] "Phase Space Structure and Transport in a Caldera Potential Energy Surface'' CHAMPS  Workshop "Discovering Phase Space Structure and Reaction Mechanisms from Trajectory Data Sets" (19th March 2019), Engineers House The Promenade Clifton Down, Bristol BS8 3NB, UK.
10.) Katsanikas M. [invited talk  25 April 2019] "Phase Space Geometry of Hamiltonian Systems and Applications" School of Science and Engineering, University of Dundee, Scotland, UK.
11) Katsanikas M. [talk  20 May 2019] "The Phase Space Geometry in a Caldera" SIAM Conference on Applications of Dynamical Systems, Snowbird Ski and Summer Resort  Snowbird, Utah, U.S.A, 1923 May 2019.
12) Katsanikas M. [talk  10 June 2019] "The Phase Space Geometry in a Caldera" CHAMPS Research Day, Engineers House The Promenade Clifton Down, Bristol BS8 3NB, UK.
13) Katsanikas M. [talk  23 December 2019] "The Phase Space Transport in a Caldera potential energy surface" in seminar series of Research center for Astronomy and Applied Mathematics of Academy of Athens, Greece.
14) Katsanikas M. [invited talk  6 October 2021] "Phase space and Dynamics in a caldera potential energy surface" in the symposium11 "successful dynamical system applications in nonlinear sciences" of the second online conference on Nonlinear Dynamics and Complexity, ISEP, Porto 46 October 2021, Portugal.
15) Katsanikas M. [talk 14 June 2022] “Stickiness in 3D rotating galactic potentials” in seminar series of Research center for Astronomy and Applied Mathematics of Academy of Athens, Greece.
16) Katsanikas M. [invited talk – 16 June 2022] “Stickiness in Chaos in 3D rotating Hamiltonian systems of galactic type” Complex Systems and Applications Network (COSANet), Greece.
17) Katsanikas M. [invited talk – 19 July 2022] “Phase space and Dynamics in a Calderatype Hamiltonian system” 28th summer school – Conference Dynamical systems and Complexity, Chania 1826 July 2022, Crete, Greece
18) Katsanikas M. [invited talk – 10 November 2022] “Phase space geometry of Calderatype Hamiltonian systems” , Geophysical fluid Dynamics group of the Institute of Mathematical Sciences (ICMAT), Madrid, Spain.
19) Katsanikas M. [invited talk  18 July 2023] "Pitchfork Bifurcations and Dynamical Matching in a Calderatype Hamiltonian System", 29th summer school  conference on Dynamical systems and complexity, NCSR Democritus, 1726 July, Athens, Greece.
Posters
1.) Katsanikas M. and Patsis P.A. [2007] ``The Structure of the Phase Space in Galactic Potentials of Three Degrees of Freedom'' International conference`` Chaos in Astronomy", Athens, Greece,1720 September 2007.
2.) Katsanikas M. and Patsis P.A. [2008] ``The visualization of the 4D surfaces of section in galactic potentials of three degrees of freedom'' 21st Conference  Summer School in Nonlinear Science and Complexity, Athens, Greece, 21 July 2 August 2008.
3.) Katsanikas M. and Patsis P.A. [2009] ``The Orbital Behavior at the neighborhood of Stable Periodic Orbits in a 3D Galactic Potential'' 9th International Conference of the Hellenic Astronomical Society, Athens, Greece, 2024 September 2009.
4.) Katsanikas M., Patsis P.A. and Pinotsis A.D. [2010] ``The phase space at the neighborhood of periodic orbits with high order multiplicity in 3D Hamiltonian systems'' International Conference in Nonlinear Dynamics and Complexity, dedicated to the 60th birthday of Tassos Bountis Thessaloniki, Greece, 1216 July 2010.
5.) Katsanikas M. [2014] ``The cosmic Battery and the astrophysical Magnetic Discs'' International Conference ``Extreme Astrophysics in everchanging Universe'' Ierapetra Crete, Greece, 1620 June 2014.
6.) Katsanikas M. [2019] "Phase Space Structure and Transport in a Caldera Potential Energy Surface'' EPSRC Session, CHAMPS  School of Mathematics, University of Bristol, UK, 12th March 2019.
Reviewer for Refereed Scientific Journals
1) Astronomy and Astrophysics
2) Monthly Notices of the Royal Astronomical Society
3) International Journal of Bifurcation and Chaos
4) Astrophysics and Space Science
5) Physica D
6) Celestial mechanics and Dynamical Astronomy
7) The European Physical Journal Plus
8) Chaos
9) Communications in Nonlinear Science and Numerical Simulation
10) Chaos, Solitons and Fractals
11) Mathematical Reviews
12) Revista Mexicana de Astronomia y Astrofisica
13) PLOS ONE
14) Advances in Space Research
15) Indian Journal of Physics
16) Journal of Computational Science
Professional Memberships
1.) Society for Industrial and Applied Mathematics (SIAM).
2.) International Astronomical Union (IAU).
3.) Hellenic Mathematical Society.
4.) Hellenic Astronomical Society.
5.) British Society for the Philosophy of Science.
Organization of conferences and meetings
1) Main Organizer of the Workshop "Chaos Indicators, Phase Space and Chemical Reaction Dynamics", CHAMPS  University of Bristol UK, Online 46 May 2020.
2) Main Organizer of the minisymposium "Exploring The Phase Space: From Galaxies to Molecules  Part I and II" of the SIAM Conference on Applications of Dynamical Systems, Snowbird Ski and Summer Resort  Snowbird, Utah, U.S.A, 1923 May 2019.
3) Member of the Local Organizing Committee (LOC) of the 11th International Conference of the Hellenic Astronomical Society, Athens, Greece, 812 September 2013.