UO > About > Organizational Structure > Faculties & Institutes > Faculty of Science

Martin Swaczyna


Academic degree, name, surname:RNDr. Martin Swaczyna, Ph.D.
Room, floor, building: M 239, Building M
Position:
Research interests and teaching:
Department (Faculty): Department of Mathematics (Faculty of Science)
Phone number, mobile: +420 553 46 2133
E-mail:
Personal website:

Education

2003 – 2005Palacký University in Olomouc, Faculty of Science
2001Universidad de Salamanca, study stay
1999 – 2003Silesian University in Opava, Mathematical Institute
1998 – 1999Silesian University in Opava, Mathematical Institute
1993 – 1998Silesian University in Opava, Faculty of Philosophy and Science

Academic degrees and qualifications

2005Ph.D. Palacký University in Olomouc, Faculty of Science (in Algebra and Geometry)
2005RNDr. University of Ostrava, Faculty of Science (in Applied Mathematics)
1998Mgr. Silesian University in Opava, Faculty of Philosophy and Science (in Teaching Qualification for Mathematics and Physics)

Work experience

2003 – assistant professor (Department of Mathematics, University of Ostrava)

Professional activities

2015 – reviewer for Mathematical Reviews

Offices held

2006 – 2012Administrator of the Department of Mathematics of the University of Ostrava

Membership

Union of Czech Mathematicians and Physicists,
Czech Mathematical Society.

Areas of main interest

variational analysis on fibered manifolds,
geometric optimization,
mechanical systems with non-holonomic constraints,
mathematical physics.

Selected publications

KRUPKOVÁ, O. – SWACZYNA, M. Horizontal and contact forms on constraint manifolds. Proceedings of the 24th Winter School Geometry and Physics, Srní, 2004. Suplemento ai Rendiconti del Circolo Matematico di Palermo. Serie II, 2004, suppl. 75, pp. 259–267.
SWACZYNA, M. On the nonholonomic variational principle. In Global Analysis and Applied Mathematics. International Workshop on Global Analysis. Ankara, Turkey, 15–17 April 2004. Ed. K. Tas, D. Krupka, O. Krupková, D. Baleanu. Melville, New York: American Institute of Physics, 2004, pp. 297–306. (AIP Conference Proceedings; Vol. 729.) ISBN 0-7354-0209-4.
SWACZYNA, M. Constraint Lepage one forms in higher order mechanics with nonholonomic constraints on the dynamical space. In Differential Geometry and its Applications: Proceedings of the 10th International Conference on Differential Geometry and its Applications 2007: Olomouc, Czech Republic, 27–31 August 2007. Ed. O. Kowalski, D. Krupka, O. Krupková, J. Slovák. World Scientific: Singapore, 2008, pp. 689–702. ISBN 978-981-279-060-6.
SWACZYNA, M. Mechanical systems with nonholonomic constraints of the second order. In XIX. International Fall Workshop on Geometry and Physics: Porto, Portugal: 6–9 September 2010. Ed. C. Herdeiro, R. Picken. Melville, New York: American Institute of Physics, 2011, pp. 164–169. (AIP Conference Proceedings; Vol. 1360.) ISBN 978-0-7354-0918-7.
SWACZYNA, M. Several examples of nonholonomic mechanical systems. Communications in Mathematics, 2011, Vol. 19, No. 1, pp. 27–56.
SWACZYNA, M. – VOLNÝ, P. Geometric concept of isokinetic constraint for a system of particles. Miskolc Mathematical Notes, 2013, Vol. 14, No. 3, pp. 277–284.
SWACZYNA, M. – VOLNÝ, P. Uniform projectile motion: dynamics, symmetries and conservation laws. Reports on Mathematical Physics, 2014, Vol. 73, No. 2, pp. 177–199.
SWACZYNA, M. – VOLNÝ, P. Rovnoměrný šikmý vrh. Pokroky matematiky fyziky a astronomie, 2016, Vol. 61, No. 1.


Geometry of Curves and Surfaces
Jan Šustek, Martin Swaczyna
Year: 2020
learning texts, university textbooks, tutorials, handbooks

Holonomically vertex admissible differential equations of the Riccati type
Martin Swaczyna, Petr Volný
Year: 2020, Electronic Journal of Differential Equations
journal article

Ignorable constraints in nonholonomic mechanics
Martin Swaczyna, Petr Volný
Year: 2019
presentations (congresses, symposia, conferences, workshops)

Uniform horizontal projectile motion
Martin Swaczyna, Petr Volný
Year: 2017
presentations (congresses, symposia, conferences, workshops)

Uniform horizontal projectile motion
Martin Swaczyna, Petr Volný
Year: 2017
abstract in proceedings

Uniform motions in central fields
Martin Swaczyna, Petr Volný
Year: 2017, Journal of Geometric Mechanics
journal article

Draining fluid from a solid of revolution
Martin Swaczyna, Petr Volný
Year: 2016
abstract in proceedings

Draining fluid from a solid of revolution
Martin Swaczyna, Petr Volný
Year: 2016
presentations (congresses, symposia, conferences, workshops)

Rovnoměrný šikmý vrh
Martin Swaczyna, Petr Volný
Year: 2016, Pokroky matematiky fyziky a astronomie
journal article

Constrained Noetherian symmetries of planar nonholonomic systems
Martin Swaczyna, Petr Volný
Year: 2015
presentations (congresses, symposia, conferences, workshops)

Problems of Finding of Constrained Noetherian Symmetries of planar nonholonomic systems
Martin Swaczyna, Petr Volný
Year: 2015
presentations (congresses, symposia, conferences, workshops)

Uniform projectile motion: dynamics, symmetries and conservation laws
Martin Swaczyna, Petr Volný
Year: 2014, Reports on Mathematical Physics
journal article

Constrained Noetherian Symmetries and Conservation Laws of Nonholonomic Systems
Martin Swaczyna
Year: 2013
presentations (congresses, symposia, conferences, workshops)

Constrained Noetherian Symmetries and Conservation Laws of Nonholonomic Systems
Martin Swaczyna
Year: 2013
presentations (congresses, symposia, conferences, workshops)

Constraint trivial Lagrangians for planar nonholonomic systems
Martin Swaczyna, Petr Volný
Year: 2013
presentations (congresses, symposia, conferences, workshops)

Geometric concept of isokinetic constraint for a system of particles
Martin Swaczyna, Petr Volný
Year: 2013, Miskolc Mathematical Notes
journal article

Počítačem řízený kalkulus diferenciální geometrie na varietách
Martin Swaczyna, Radka Malíková
Year: 2013
learning texts, university textbooks, tutorials, handbooks

Particle in the Central Gravitational Field Subject to a Nonlinear Nonholonomic Constraint
Martin Swaczyna, Petr Volný
Year: 2012
presentations (congresses, symposia, conferences, workshops)

Mechanical systems with nonholonomic constraints of the second order
Martin Swaczyna
Year: 2011
abstract in proceedings

Several examples of nonholonomic mechanical systems
Martin Swaczyna
Year: 2011, Communications in Mathematics
journal article

Mechanical systems with nonholonomic constraints of the second order
Martin Swaczyna
Year: 2010
presentations (congresses, symposia, conferences, workshops)

Constraint Lepage one forms in higher order mechanics with nonholonomic constraints on the dynamical space
Martin Swaczyna
Year: 2008
abstract in proceedings

University of Crete, Faculty of Science and Engineering, Department of Mathematics
Martin Swaczyna
Year: 2008
work experience abroad

Nonholonomic constraints and principle of virtual work
Martin Swaczyna
Year: 2006
presentations (congresses, symposia, conferences, workshops)

Variační počet 1
Olga Krupková, Martin Swaczyna
Year: 2006
learning texts, university textbooks, tutorials, handbooks

Horizontal and contact forms on constraint manifolds
Olga Krupková, Martin Swaczyna
Year: 2005, Supplemento ai Rendiconti del Circolo Mathematico di Palermo, Serie II, Numero 75, Proceedings of the 24 th Winter school Geometry and Physics
journal article

The nonholonomic constraint structure of higher order
Martin Swaczyna
Year: 2005
presentations (congresses, symposia, conferences, workshops)

Variational aspects of nonholonomic mechanical systems
Martin Swaczyna
Year: 2005
final dissertation (rigorous, final, habilitation)

On the nonholonomic variational principle
Martin Swaczyna
Year: 2004
presentations (congresses, symposia, conferences, workshops)

On the nonholonomic variational principle
Martin Swaczyna
Year: 2004
abstract in proceedings

Recent results in the nonholonomic mechanical systems
Martin Swaczyna
Year: 2002
presentations (congresses, symposia, conferences, workshops)

Variational aspects of the nonholonomic mechanical systems
Martin Swaczyna
Year: 2002
presentations (congresses, symposia, conferences, workshops)

University of Salamanca
Martin Swaczyna
Year: 2001
work experience abroad

On the geometry of mechanical systems with the nonholonomic constraints
Martin Swaczyna
Year: 2000
presentations (congresses, symposia, conferences, workshops)

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AbbreviationSubject
APALGVybrané aplikace algebry a geometrie
DIFSYDiferenciální systémy
ENEG1Geometrie 1
ENEG2Geometrie 2
GLOA1Globální analýza 1
KONGOKonstrukční geometrie
MATA3Matematika 3
MATH3Matematika 3
MATX3Matematika 3
MATX4Matematika 4
OBDIRDiferenciální rovnice
PDIF1Parciální diferenciální rovnice 1
PDIF2Parciální diferenciální rovnice 2
PRAXEPraxe
QDIFSDiferenciální systémy
QKTDRTeorie dif. rovnic a její aplikace
SGEM1Seminář z geometrické mechaniky 1
SGEM2Seminář z geometrické mechaniky 2
SGEM3Seminář z geometrické mechaniky 3
SGEM4Seminář z geometrické mechaniky 4
SLAG1Algebra 2 -Algebra a analyt. geometrie 1
SLAG2Algebra 3 -Algebra a analyt. geometrie 2
SYGEOSyntetická geometrie
TOPO1Topologie 1
VADIRVybrané aplikace diferenciálních rovnic
VARANVariační analýza
VPOC1Variační počet 1
XMAX4Matematika 4
XOBDRObyčejné diferenciální rovnice
YENG1Euklidovská a neeuklidovská geometrie
YODROObyčejné diferenciální rovnice
6DIR1Differential Equations 1
6DIR2Differential Equations 2
6DIR3Differential Equations 3
6GEOMGeometry
6GEO2Syntetic and construct geometry
6GLAGGlobal Analysis and Geometry
6MAN4Mathematical Analysis 4
6MAN5Mathematical Analysis 5
7DIR1Diferenciální rovnice 1
7DIR2Diferenciální rovnice 2
7DIR3Diferenciální rovnice 3
7GEOMGeometrie
7GEO2Syntetická a konstrukční geometrie
7GLAGGlobální analýza a geometrie
7MAN4Matematická analýza 4
7MAN5Matematická analýza 5
7MEMAMetody řešení matematických úloh
7TOGETopologie a geometrie
7USMAÚvod do studia matematiky


AuthorTitleType of thesisYear
Kubinová MarkétaQuaternions, its properites and applicationsMaster's thesis 2019 
Rabiecová IvetaGeodesic curves on surfaces in Euclidean spaceMaster's thesis 2017 
Šebová KarolínaDeformation of simple Lagrangian systems by the means of selected nonholonomic constraintsMaster's thesis 2014 
Babák LiborApplications of Ordinary Differential Equations in Chemical KineticsMaster's thesis 2012 
Hoďáková PetraRationalization of Indefinite Integrals and Elliptic IntegralsMaster's thesis 2008 
Pížová PavlínaCalculus of VariationsMaster's thesis 2008 
Majčíková ZuzanaThe application of differential equations solving economic dynamic systemsMaster's thesis 2007 
Babejová HelenaApplicatio of the theory of distributions at solution of ordinary differential equationsMaster's thesis 2006 
Kopřivová MichaelaRiccati Differential EquationsBachelor's thesis 2017 
Zámečníková HanaOrdinary Differential Equations solved using an integrating factorBachelor's thesis 2016 
Rabiecová IvetaApplication of Differential Equations to Models Vibrating ProcessesBachelor's thesis 2015 
Bírová JanaApplication of Ordinary Differential Equations in Differential Geometry of CurvesBachelor's thesis 2014 
Dedinský ŠimonApplication of Ordinary Differential Equations on Simulation of Real ProcessesBachelor's thesis 2014 
Wojtylová MarkétaImplicit Differential EquationsBachelor's thesis 2014 
Šebová KarolínaProblems solving by means of Ordinary Differential EquationsBachelor's thesis 2012 
Stolařová MartinaDifferential Equations as a Models for Mechanical MotionsBachelor's thesis 2007 
Klepková MartinaSome Aspects of History of MechanicsBachelor's thesis 2006 


Finanční prostředky jsou zasílány na soukromý účet řešitele
Main solverRNDr. Martin Swaczyna, Ph.D.
Period3/2010 - 11/2010
ProviderProjekty podporované z rozpočtu měst krajských úřadů
Statefinished
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