prof. dr. sc. Vesna Županović

Full professor, Department of Applied Mathematics

Location:
Public phone number:
6129-930
Internal phone number:
430
  Author's books
 

1. Županović, Vesna, Šorić, Kristina.
Computer supported applied mathematics .
Slavonski Brod : Gimnazija Matija Mesić, 2016. (handbook).
 
  Book chapters
 

1. Pašić, Mervan; Žubrinić, Darko; Županović, Vesna.
Fractal properties of solutions of differential equations // Classification and Application of Fractals / Hagen, William L., editor(s).
USA : Nova Science Publishers, Inc., 2011. Str. 1-62.

2. Županović, Vesna; Žubrinić, Darko.
Fractal dimensions in dynamics // Encyclopedia of Mathematical Physics ; Vol 2 / Francoise, Jena-Piere ; Naber, Gregora L. ; Tsun, Tsou Sheung, editor(s).
Oxford : Elsevier, 2006. Str. 394-402.
 
  Textbooks and scripts
 

1. Andrea Aglić Aljinović, Vladimir Ćepulić, Neven Elezović, Lana Horvat Dmitrović, Ljubo Marangunić, Tomislav Šikić, Ana Žgaljić Keko, Darko Žubrinić, Vesna Županović.
Mathematics 2 / Gračan, Sandra, editor(s).
Zagreb : Element, 2015.

2. Andrea Aglić Aljinović, Ilko Brnetić, Vladimir Ćepulić, Neven Elezović, Ljubo Marangunić, Mervan Pašić, Darko Žubrinić, Vesna Županović.
Mathematics 1 / Sandra Gračan, editor(s).
Zagreb : Element, 2014.

3. Korkut, Luka; Županović, Vesna.
Differential equations and stability theory .
Zagreb : Element, 2009.

4. Ilko Brnetić, Vesna Županović.
Multiple integrals .
Zagreb : Element, 2007.
 
  Journal articles and review articles in CC journals
 

1. Mardešić, Pavao; Resman, Maja; Rolin, Jean- Philippe; Županović, Vesna.
The Fatou coordinate for parabolic Dulac germs. // Journal of differential equations. 266 (2019) , 6; 3479-3513 (journal article).

2. Korkut, Luka; Vlah, Domagoj; Županović, Vesna.
Fractal properties of Bessel functions. // Applied mathematics and computation. 283 (2016) ; 55-69 (journal article).

3. Mardešić, Pavao; Resman, Maja; Rolin, Jean-Philippe; Županović, Vesna.
Normal forms and embeddings for power-log transseries. // Advances in mathematics. 303 (2016) ; 888-953 (journal article).

4. Korkut, Luka; Vlah, Domagoj; Županović, Vesna.
Geometrical properties of systems with spiral trajectories in R^3. // Electronic journal of differential equations. 2015 (2015) , 276; 1-19 (journal article).

5. Mardešić, Pavao; Resman, Maja; Županović, Vesna.
Multiplicity of fixed points and growth of ε-neighborhoods of orbits. // Journal of differential equations. 253 (2012) , 8; 2493-2514 (journal article).

6. Radunović, Goran; Žubrinić, Darko; Županović, Vesna.
Fractal analysis of Hopf bifurcation at infinity. // International journal of bifurcation and chaos in applied sciences and engineering. 22 (2012) , 12; 1230043-1-1230043-15 (journal article).

7. Milišić, Josipa Pina; Žubrinić, Darko; Županović, Vesna.
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schroedinger Cauchy problems. // Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE). 60 (2010) ; 1-32 (journal article).

8. Korkut, Luka; Žubrinić, Darko; Županović, Vesna.
Box dimension and Minkowski content of the clothoid. // Fractals. 17 (2009) , 4; 485-492 (journal article).

9. Pašić, Mervan; Žubrinić, Darko; Županović, Vesna.
Oscillatory and phase dimensions of solutions of some second-order differential equations. // Bulletin des sciences mathématiques. 133 (2009) , 8; 859-874 (journal article).

10. Korkut, Luka; Vlah, Domagoj; Žubrinić, Darko; Županović, Vesna.
Generalized Fresnel integrals and fractal properties of related spirals. // Applied Mathematics and Computation. 206 (2008) , 1; 236-244 (journal article).

11. Žubrinić, Darko; Županović, Vesna.
Poincare map in fractal analysis of spiral trajectories of planar vector fields. // Bulletin of the Belgian Mathematical Society - Simon Stevin. 15 (2008) , 5; 947-960 (journal article).

12. Elezović, Neven; Županović, Vesna; Žubrinić, Darko.
Box dimension of trajectories of some discrete dynamical systems. // Chaos, Solitons & Fractals. 34 (2007) , 2; 244-252 (journal article).

13. Horvat, Lana; Kraljević, Jadranka; Žubrinić, Darko; Županović, Vesna.
Positive solutions of polyharmonic equations with strong dependence on the gradient. // Complex Variables and Elliptic Equations. 52 (2007) , 8; 693-707 (journal article).

14. Žubrinić, Darko; Županović, Vesna.
Box dimension of spiral trajectories of some vector fields in R^3. // Qualitative Theory of Dynamical Systems. 6 (2007) , 2; 203-222 (journal article).

15. Žubrinić, Darko; Županović, Vesna.
Fractal analysis of spiral trajectories of some vector fields in ${; ; ; \mathbb R}; ; ; ^3$. // Comptes rendus. Mathématique. 342 (2006) , 12; 959-963 (journal article).

16. Žubrinić, Darko; Županović, Vesna.
Fractal analysis of spiral trajectories of some planar vector fields. // Bulletin des sciences mathématiques. 129 (2005) , 6; 457-485 (journal article).

17. Županović, Vesna.
Topological Equivalence of Planar Vector Fields and Their Generalised Principal Part. // Journal of Differential Equations. 167 (2000) ; 1-15 (journal article).
 
  Scientific papers in other journals
 

1. Korkut, Luka; Vlah, Domagoj; Žubrinić, Darko; Županović, Vesna.
Wavy spirals and their fractal connection with chirps. // Mathematical Communications. 21 (2016) ; 251-271 (journal article).

2. Lale, Dinka; Županović, Vesna; Grbavac, Ivan.
Particle’s Trajectory – Implementation in Maritime Traffic. // Our Sea, International Journal of Maritime Science & Technology. 62 (2015) ; 1-7 (preliminary note).

3. Resman, Maja; Vlah, Domagoj; Županović, Vesna.
OSCILLATORITY OF FRESNEL INTEGRALS AND CHIRP–LIKE FUNCTIONS. // Differential Equations & Applications. 5 (2013) , 4; 527-547 (review article).

4. Pašić, Mervan; Županović, Vesna.
Some metric-singular properties of the graph of solutions of the one-dimensional p-Laplacian. // Electronic Journal of Differential Equations. 2004 (2004) , 60; 1-25 (journal article).

5. Županović, Vesna.
The dynamics of some cubic vector fields with a center. // Mathematical communications. 6 (2001) , 1; 11-27 (journal article).

6. Županović, Vesna.
Generalised principal part of some planar vector fields. // Glasnik matematički. 31 (1996) , 51; 333-351 (journal article).
 
  Nonscientific papers in other journals
 

1. Domagoj Kovačević, Sandra Madžar, Vesna Županović.
Project RADDAR. // Poučak : časopis za metodiku i nastavu matematike. 15 (2014) , 59; 68-72.

2. Madžar, Sandra; Županović, Vesna.
Mathematics for curious RADDAR. // Matematika i škola. 71 (2013) ; 11-12 (journal article).

3. Županović, Vesna; Žubrinić, Darko.
Celebrating 90th anniversary of the Department of Applied Mathematics of FER in Zagreb. // Matematičko fizički list. 238 (2009) , 2; 117-120 (short survey).
 
  Papers in the publishing process
 

1. Horvat Dmitrović, Lana; Županović, Vesna.
Characteristic box dimension of unit-time map near nilpotent singularity of planar vector field and applications. // arXiv. (2015).
 
  Scientific conference papers with international peer-review
 

1. Lale, Dinka; Županović, Vesna; Grbavac, Ivan.
The particle’s trajectory - Implementation // Proceedings of the 4th European Conference for the Applied Mathematics and Informatics (AMATHI '13) / Trisovic, Natasa ; Rasteiro, Deolinda ; Tenorio, Angel F., editor(s).
Dubrovnik : WSEAS Press, 2013. 249-254 (lecture,international peer-review,published,scientific).

2. Horvat, Lana; Kraljević, Jadranka; Žubrinić, Darko; Županović, Vesna.
Positive solutions of polyharmonic equations with strong dependence on the gradient // EQUADIFF 2007Vienna : Vienna University of Technology , 2007..
Vienna, 2007. (lecture,international peer-review,published,scientific).
 
  Other refereed conference papers
 

1. Županović, Vesna; Žubrinić, Darko.
Recent results on fractal analysis of trajectories of some dynamical systems // FUNCTIONAL ANALYSIS IX - Proceedings of the Postgraduate School and Conference held at the Inter-University Centre, Dubrovnik, Croatia, 15--23 June, 2005. pp. 148. / G. Muic, J. Hoffmann-Jorgensen, editor(s).
Aarhus, Denmark : University of Aarhus, Department of Mathematical Sciences, 2007. 126-140 (lecture,international peer-review,published).
 
  Abstracts in Book of abstracts
 

1. Resman, Maja; Žubrinić, Darko; Rolin, Jean- Philippe; Mardešić, Pavao; Vlah, Domagoj; Županović; Vesna.
Introduction to fractal analysis of orbits of dynamical systems // / Resman, Maja, editor(s).
Zagreb, 2018. 10-10 (invited talk,international peer-review,abstract,scientific).

2. Županović, Vesna.
Epsilon-NEIGHBORHOODS OF ORBITS OF DYNAMICAL SYSTEMS // EAST ALPINE MEETING ON DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS / Kryzhevich, Sergey, editor(s).
Nova Gorica, Slovenia : University of Nova Gorica, 2017. 5-5 (invited talk,international peer-review,abstract,scientific).

3. Rolin, Jean-Philippe; Vlah, Domagoj; Županović, Vesna.
Fractal Geometry of Oscillatory Integrals and Singularities of Differentiable Maps // .
(lecture,international peer-review,abstract,scientific).

4. Rolin, Jean-Philippe; Vlah, Domagoj; Županović, Vesna.
Fractal Properties of Oscillatory Integrals and Singularities of Differentiable Maps // .
(lecture,international peer-review,abstract,scientific).

5. Rolin, Jean-Philippe; Vlah, Domagoj; Županović, Vesna.
Oscillatory Integrals and Fractal Dimension // .
(poster,international peer-review,abstract,scientific).

6. Lana Horvat Dmitrović, Vesna Županović.
Characteristic box dimension of Poincare map of nilpotent focus // EQUADIFF 2015.
Lyon : Universite Claude Bernard 1, 2015. 232-232 (lecture,international peer-review,abstract,scientific).

7. Pavao Mardešić, Maja Resman, Jean-Philippe Rolin, Vesna Županović.
Formal normal forms and formal embeddings into flows for power-log transseries // Advances in Qualitative Theory of Differential Equations / Hector Giacomini (Université de Tours) ; Francesc Mañosas (Universitat Autònoma de Barcelona) ; Chengzhi Li (Peking University), editor(s).
Tarragona : Universitat Autònoma de Barcelona, 2015. 1-2 (invited talk,international peer-review,abstract,scientific).

8. Vesna Županović.
Fractal analysis of bifurcations of dynamical systems // Theoretical and computational methods in dynamical systems and fractal geometry.
Maribor : Univerza v Mariboru, 2015. 40-42 (invited talk,abstract,scientific).

9. Horvat Dmitrović, Lana; Županović, Vesna.
Fractal Analysis of unit-time map and cyclicity of nilpotent singularities of planar vector fields // .
(lecture,abstract,scientific).

10. Rolin, Jean-Philippe; Vlah, Domagoj; Županović, Vesna.
Fractal dimensions of oscillatory integrals // .
(lecture,international peer-review,abstract,scientific).

11. Lana Horvat Dmitrović, Vesna Županović.
Fractal analysis of unit time map and cyclicity of nilpotent singularities of planar vector field // European Advanced Studies Conference 2014, Symposium on Differential and Difference Equations 2014.
Homburg, Saar, NJemačka : European Advanced Studies, 2014. 86-87 (lecture,abstract,scientific).

12. Korkut, Luka; Vlah, Domagoj; Županović, Vesna.
Fractal properties of generalized Bessel functions // .
(lecture,international peer-review,abstract,scientific).

13. Korkut, Luka; Vlah, Domagoj; Žubrinić, Darko; Županović, Vesna.
Fractal properties of oscillatory solutions of a class of ordinary differential equations // .
(lecture,international peer-review,abstract,scientific).

14. Pavao Mardešić, Maja Resman, Vesna Županović.
Multiplicity of fixed points and growth of epsilon- neighborhoods of orbits // Workshop Dynamical Systems and Applications in the framework of the project FP7-PEOPLE-2012- IRSES- 316338 within the 7th European Community Framework Programme.
Maribor : Univerza v Mariboru, 2013. 36-37 (invited talk,abstract,scientific).

15. Korkut, Luka; Vlah Domagoj; Žubrinić Darko; Županović Vesna.
Fractal properties of Bessel equation // .
(lecture,international peer-review,abstract,scientific).

16. Vesna Županović, Pavao Mardešić, Maja Resman.
Multiplicity of fixed points and growth of varepsilon-neighbourhoods of orbits // Fifth Croatian Mathematical Congress.
Rijeka : Sveučilište u Rijeci, HMD, 2012. (lecture,domestic peer-review,abstract,scientific).

17. Mardešić, Pavao; Resman, Maja; Županović, Vesna.
Multiplicity of Fixed Points and Growth of r- Neighborhoods of Orbits // First International Meeting PISRS-PISRS Conference 2011.
(invited talk,international peer-review,abstract,scientific).

18. Mardešić, Pavao; Resman, Maja; Županović, Vesna.
Connection between box dimension and cyclicity for planar systems // .
(lecture,international peer-review,abstract,scientific).

19. Horvat, Lana; Kraljević, Jadranka; Žubrinić, Darko; Županović, Vesna.
The existence of positive solutions of polyharmonic equations with strong dependence on the gradient // .
(poster,international peer-review,abstract,scientific).

20. Korkut, Luka; Vlah, Domagoj; Žubrinić, Darko; Županović, Vesna.
Box dimension and Minkowski content of generalized Euler spirals // .
(poster,international peer-review,abstract,scientific).

21. Županović, Vesna.
Fractal analysis of spiral trajectories of some planar vector fields // Barcelona Conference in Planar Vector Fields, CRM / J.S. Llibre, A.E. Gasull, editor(s).
Barcelona : Universitat Autonoma de Barcelona, 2006. 1 (lecture,international peer-review,abstract,scientific).
 
  Unpublished papers
 

1. Žubrinić, Darko; Županović, Vesna.
Box dimensions and Minkowski contents of spiral trajectories // Bifurcations, Cycles limites et Feuilletages Analytiques.
(poster,international peer-review,unpublished,scientific).
 
  Dissertations
 

1. Županović, Vesna.
The principal part of planar vector fields / doctoral thesis.
Zagreb : Prirodoslovno matematicki fakultet, Matematicki odjel, 16.4. 1997, 80 pages. Mentor: Mardešić, Pavao.
 
  Graduation thesis
 

1. Vidović, Petra.
Mathematical and Computer Modelling of Lotka- Volterra Systems / graduate thesis.
Zagreb : FER, 28.6. 2012., 32 pages. Mentor: Županović, Vesna.
 
  Mentoring
 

1. Petra Vidović.
Stability of BAM neural network / graduate thesis.
Zagreb : Fakultete elektrotehnike i računarstva, 2.07.2014. 2014, 47 pages. Mentor: Vesna Županović.

2. Resman, Maja.
Fixed points of diffeomorphisms, singularities of vector fields and epsilon-neighborhoods of their orbits / doctoral thesis.
Zagreb : PMF-Matematički odsjek, 29.10. 2013., 170 pages. Mentor: Mardešić, Pavao ; Županović, Vesna.

3. Vlah, Domagoj.
Phase dimension of oscillatory solutions of a class of ordinary differential equations with applications / doctoral thesis.
Zagreb : PMF Matematički odsjek, 26.6. 2013., 95 pages. Mentor: Županović, Vesna ; Korkut, Luka.

4. Vidović, Petra.
Mathematical and Computer Modelling of Lotka- Volterra Systems / graduate thesis.
Zagreb : FER, 28.6. 2012., 32 pages. Mentor: Županović, Vesna.

5. Ćosić, Bernard.
Analysis of bifurcations of a class of neural networks / graduate thesis.
Zagreb : FER, 28.6. 2011., 35 pages. Mentor: Županović, Vesna.

6. Horvat Dmitrović, Lana.
Fractal analysis of bifurcations of discrete dynamical systems and applications to continuous systems / doctoral thesis.
Zagreb : Prirodoslovno-matematički fakultet, 21.02. 2011., 192 pages. Mentor: Županović, Vesna.

7. Pašagić, Amir.
Lorenz attractor / graduate thesis.
Zagreb : FER, 28.6. 2010., 36 pages. Mentor: Županović, Vesna.

8. Jelena Novosel.
Mathematical pendulum / graduate thesis.
Zagreb : FER, 28.6. 2009., 49 pages. Mentor: Županović, Vesna.

9. Horvat, Lana.
Fractal analysis of dynamical systems / pre-Bologna master thesis.
Zagreb : Prirodoslovno-matematički fakultet, Matematički odjel, 09.03. 2006, 129 pages. Mentor: Županović, Vesna ; Žubrinić, Darko.
 
  1. P. Mardešić, M. Resman, J.-P. Rolin, V. Županović, The Fatou coordinate for parabolic Dulac germs, Journal of Differential Equations,  266, Issue 6, 5 March (2019), Pages 3479-3513 Q1 5%, 17/310 Math.
  2. P. Mardešić, M. Resman, J.-P. Rolin, V. Županović, Normal forms and embeddings for power-log transseries,  Advances in mathematics. 303 (2016),  888-953, Q1 10%, 33/310 Math.
  3. L. Korkut, D.  Vlah, V. Županović, Fractal properties of Bessel functions. Appl. Math. Comput. 283 (2016), 55–69 Q1 8%, 21/252 Math. Appl.
  4.  P. Mardešić, M. Resman, V. Županović, Multiplicity of fixed points and growth of ε-neighbor. of orbits, Journal of Differential Equations 253, 8 (2012), 2493–2514 Q1 5%, 17/310 Math
  5. L. Korkut, D. Vlah, D. Žubrinić, V. Županović, Generalized Fresnel integrals and fractal properties of related spirals, Appl. Math. Comput. 206 (2008) Q1 8%, 21/252 Math. Appl.
  6.  D. Žubrinić, V. Županović,  Poincaré map in fractal analysis of spiral trajectories of planar vector fields. Bull of the Belgian Mathematical Society - Simon Stevin. 15, dedicated to Freddy Dumortier 60th birthday (2008),  5; 947-960,
  7. V. Županović, D. Žubrinić,  Fractal dimensions in dynamics, in Encyclopedia of Mathematical Physics, Jean-Pierre Françoise, Greg Naber, Sheung Tsun Tsou (editors), Elsevier Oxford (2006) Vol. 2, 394-402 (Invited paper)
  8. V. Županović, Topological Equivalence of Planar Vector Fields and Their Generalised Principal Part,  Journal of Differential Equations 167, (2000), 1-15 Q1 5%, 17/310 Math.

Teaching duties

University undergraduate

University graduate

Competences

  • Mathematics
    Nonlinear equations Bifurcation Fractals Limit-cycles Nonlinear dynamical systems Spirals
  • Mathematics
    Nonlinear equations Bifurcation Fractals Limit-cycles Nonlinear dynamical systems Spirals

Personal data

Graduation year:
1988.
mr.sc. graduation year:
1992.
PhD graduation year:
1997.
Employed in this institution since:
1988.

List of select projects

1. Classification of fixed points and singularities by e-neighborhoods of orbits and curves

2015– 2016, bilateral Croatian-French Cogito Hubert Curien project, Leader Vesna Županović, French leader Pavao Mardešić

2. Fractal analysis of  Poincaré map near polycycle

2011-2012, bilateral Croatian-French Cogito Hubert Curien  project, Leader Vesna Županović, French leader Pavao Mardešić

3. Classifications of Dulac maps and epsilon-neighborhoods, October 16, 2017– January 15, 2019

4. Fractional analog and mixed systems for signal processing, 2017– 2021, HRZZ,  collaborator

5. Geometric, Ergodic and Topological Analysis of Low-Dimensional Dynamical Systems, 2015– 2019, HRZZ collaborator

6. Kinetic wealth distribution models and diffusive limit equations,  2010– 2011, bilateral Croatian-Austrian project, collaborator

7. Viscous approximation of quantum Euler-Poisson systems, 2009– 2010, bilateral Croatian-Austrian project, collaborator

8. Nonlinear analysis of differential equations and dynamical systems,  2007– 2013, MZOŠ, collaborator

9. Control of mobile robots and vehicles in unknown and dynamics environments, 2007– 2013, MZOŠ, collaborator

10. Fractional Calculus, Higher Transcedental Functions and Applications,2008– 2009, bilateral Croatian-Macedonian project, collaborator

11. Bifurcations and strange attractors of generalized Lozi maps, University of Zagreb grant 

12. Multiplicity of fixed and singular points of dynamical systems and maps, University of Zagreb grant

13. Fractal analysis of  Poincaré map, Abelian integrals and normal forms, University of Zagreb grant  2013

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RADDAR mathematics and computer science popularization program 2013-today, leader,

Partners-FER, XV. gimnazija, Croatian Mathematical Society, MNM Marin Getaldić

STEM geniuses  project, funded by European Social Fund, 2015-2016, collaboration in writing handbook http://www.stem-genijalci.eu/matematika-informatika