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, GR-11527

Tel.: +30 2106597139

E-mails: 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. Dynamical Astronomy - Hamiltonian Chaos - Applied, Computational and Geometric Hamiltonian Dynamics (Astronomy, Applied and Computational Mathematics, Mathematical and Computational Physics)

Phase space geometry of Hamiltonian Dynamical Systems.
Phase space geometry of Symplectic Maps (Discrete Hamiltonian Dynamical Systems).
Visualization of 4D Poincaré sections for Hamiltonian Dynamical Systems - Visualization of 4D phase space of Symplectic Maps.
Numerical methods for distinguishing between regular and chaotic behavior in Hamiltonian Dynamical Systems.
Diffusion and Lyapunov exponents in Hamiltonian Dynamical Systems.
Chaotic transport and invariant manifolds in Hamiltonian Dynamical 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 Dynamical Systems.
Hamiltonian Hopf bifurcation and complex instability.
Machine learning and AI in Hamiltonian Dynamical Systems and Chaos.
Differential geometry and topology in Hamiltonian Dynamical Systems and Chaos.
Celestial Mechanics - perturbation theory - Restricted three body problem - planetary escapes from extrasolar systems - Hamiltonian Dynamical Systems and Chaos in Celestial Mechanics.
Galactic dynamics - stellar dynamics of barred and disk galaxies.- Hamiltonian Dynamical Systems and Chaos in Galactic Systems.
Hamiltonian Dynamical Systems and Chaos in General Relativity.
Hamiltonian Dynamical Systems and Chaos in Chemical Physics and in Atomic and Molecular Physics - Chemical Reaction Dynamics.
Quantum Chaos - Quantum Manifestations of Hamiltonian Chaos.

2. History, Philosophy and Popularization of Science.

Popularizing Mathematics, Physics, and Astronomy involves utilizing their historical and philosophical aspects, as well as showcasing the research outcomes in these domains.

Employment History

1) 6/9/2021-now: Associate Researcher - Assistant Professor Level at the Research Center for Astronomy and Applied Mathematics (RCAAM), Academy of Athens, Greece.

2) 4/11/2023-18/11/2023: Visiting Researcher at the Department of Mathematics, US Naval Academy, USA.
3) 1/9/2017 - 31/8/2021: Research Associate in Applied Mathematics at School of Mathematics of the University of Bristol, UK.
4) 24/5/2012 - 31/8/2017: Postdoctoral Researcher at the Research Center for Astronomy and Applied Mathematics of the Academy of Athens, Greece.
5) 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", EPSRC-sponsored 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 Mariopouleio-Kanaginis 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 12-16 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 non-Integrability in Hamiltonian systems- Applications to Astronomy", La Plata 11-15 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)'' 17-21 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" (17-27 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, 19-23 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 symposium-11 "successful dynamical system applications in nonlinear sciences" of the second online conference on Nonlinear Dynamics and Complexity, ISEP, Porto 4-6 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 (COSA-Net), Greece.

17) Katsanikas M. [invited talk – 19 July 2022] “Phase space and Dynamics in a Caldera-type Hamiltonian system” 28th summer school – Conference Dynamical systems and Complexity, Chania 18-26 July 2022, Crete, Greece

18) Katsanikas M. [invited talk – 10 November 2022] “Phase space geometry of Caldera-type 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 Caldera-type Hamiltonian System", 29th summer school - conference on Dynamical systems and complexity, NCSR Democritus, 17-26 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,17-20 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, 20-24 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, 12-16 July 2010.
5.) Katsanikas M. [2014] ``The cosmic Battery and the astrophysical Magnetic Discs'' International Conference ``Extreme Astrophysics in ever-changing Universe'' Ierapetra Crete, Greece, 16-20 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

17) SIAM Journal on Applied Dynamical Systems

Professional Memberships

1.) Society for Industrial and Applied Mathematics (SIAM).
2.) International Astronomical Union (IAU).

Inter-division commission A-F Celestial Mechanics and Dynamical Astronomy.
Commission C2 communicating astronomy with the public.
Commission C3 history of astronomy.
Inter-commission C1-C3-C4 working group for astronomy in culture.

3) European Astronomical Society (EAS).

4.) Hellenic Mathematical Society.
5.) Hellenic Astronomical Society.
6.) 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 4-6 May 2020.
2) Main Organizer of the mini-symposium "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, 19-23 May 2019.
3) Member of the Local Organizing Committee (LOC) of the 11th International Conference of the Hellenic Astronomical Society, Athens, Greece, 8-12 September 2013.