Personal Information

Name: Matthaios

Surname: Katsanikas

Date of Birth: 04/01/1979

Place of Birth: Athens, Greece

Address at work: School of Mathematics, University Walk, Bristol, BS8 1TW, UK

Tel.: +44 (0) 117 928 7966

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

1) Chaos Theory and Dynamical Systems using  Numerical, Analytical and Geometro-Topological Methods.

2) Mathematical Physics of Complex Systems in Astrophysics and Chemical Physics.

3) Computational Science  and  Machine Learning.

Specific  Research  Areas:

  • Phase  Space  Geometry  of Hamiltonian Systems.

  • 4D Phase Space Structure  in Poincare maps for Hamiltonian Systems and Conservative Maps - 4D Phase Space Visualization.

  • Chaotic Diffusion and Lyapunov Exponents.

  • Chaotic Transport  and Invariant Manifolds.

  • The structure of KAM (Kolmogorov - Arnold - Moser) Tori and Arnold Diffusion.

  • Bifurcations of Periodic Orbits in Hamiltonian Systems - Hamiltonian Hopf Bifurcation.

  • 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.

  • Chemical Reaction Dynamics.

  • Machine Learning in Dynamical Systems.

 

Employment  History

1)  1/9/2017 - now. Research Associate in Applied Mathematics at  School of Mathematics of the University of Bristol, UK.
2)  24/5/2012 - 31/8/2017 Postdoctoral Researcher  at the  Research  Center for  Astronomy and Applied Mathematics of the Academy of Athens, Greece.
3) 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-now.

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 in  International Conferences and Universities

1.) Katsanikas M.  [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. [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. [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. [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. [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. [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. [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. [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. [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. [25 April 2019] "Phase Space Geometry of Hamiltonian Systems and Applications" School of Science and Engineering, University of Dundee, Scotland, UK.

11) Katsanikas M. [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.  [10 June 2019] "The Phase Space Geometry in a Caldera" CHAMPS Research Day, Engineers House The Promenade Clifton Down, Bristol BS8 3NB, UK.

 

Posters in International Conferences

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

 Astrophysics and Space Science, PLOS ONE.

 

Professional Memberships

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

 

Membership in scientific commitees

1.) 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.
2.) Member of the Local organizing committee (LOC) of  The 11th Hellenic Astronomical Conference, Athens, Greece, 8-12 September 2013.

 

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