prof. dr. sc. Vesna Županović

Full professor, Department of Applied Mathematics

Location:
Public phone number:
6129-930
Internal phone number:
430

Mathematical modeling with linear function: multivitamin, taxi and velocity

Vesna Županović, Kristina Šorić, Lahorija Bistričić, Petra Vidović
2020.
Matematika i škola

Tubular neighborhoods of orbits of power- logarithmic germs

P. Mardešić, M. Resman, J.-P. Rolin, V. Županović
2019.
Journal of dynamics and differential equations

The Fatou coordinate for parabolic Dulac germs

Mardešić, Pavao ; Resman, Maja ; Rolin, Jean- Philippe ; Županović, Vesna
2019.
Journal of differential equations

Introduction to fractal analysis of orbits of dynamical systems

Resman, Maja ; Žubrinić, Darko ; Rolin, Jean- Philippe ; Mardešić, Pavao ; Vlah, Domagoj ; Županović ; Vesna
2018.
ZAGREB DYNAMICAL SYSTEMS WORKSHOP 2018

Epsilon-NEIGHBORHOODS OF ORBITS OF DYNAMICAL SYSTEMS

Županović, Vesna
2017.
EAST ALPINE MEETING ON DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS

Fractal Geometry of Oscillatory Integrals and Singularities of Differentiable Maps

Rolin, Jean-Philippe ; Vlah, Domagoj ; Županović, Vesna
2016.
Fractals 2016: Summer School on Fractal Geometry and Complex Dimensions - In celebration of the 60th birthday of Michel Lapidus

Fractal Properties of Oscillatory Integrals and Singularities of Differentiable Maps

Rolin, Jean-Philippe ; Vlah, Domagoj ; Županović, Vesna
2016.
6th Croatian Mathematical Congress

Computer supported applied mathematics

Županović, Vesna, Šorić, Kristina
2016.

Normal forms and embeddings for power-log transseries

Mardešić, Pavao ; Resman, Maja ; Rolin, Jean-Philippe ; Županović, Vesna
2016.
Advances in mathematics

Wavy spirals and their fractal connection with chirps

Korkut, Luka ; Vlah, Domagoj ; Žubrinić, Darko ; Županović, Vesna
2016.
Mathematical Communications

Fractal properties of Bessel functions

Korkut, Luka ; Vlah, Domagoj ; Županović, Vesna
2016.
Applied mathematics and computation

Mathematics 2

Andrea Aglić Aljinović, Vladimir Ćepulić, Neven Elezović, Lana Horvat Dmitrović, Ljubo Marangunić, Tomislav Šikić, Ana Žgaljić Keko, Darko Žubrinić, Vesna Županović
2015.

Characteristic box dimension of unit-time map near nilpotent singularity of planar vector field and applications

Horvat Dmitrović, Lana ; Županović, Vesna
2015.
arXiv

Formal normal forms and formal embeddings into flows for power-log transseries

Pavao Mardešić, Maja Resman, Jean-Philippe Rolin, Vesna Županović
2015.
Advances in Qualitative Theory of Differential Equations

Oscillatory Integrals and Fractal Dimension

Rolin, Jean-Philippe ; Vlah, Domagoj ; Županović, Vesna
2015.
Equadiff 2015

Geometrical properties of systems with spiral trajectories in R^3

Korkut, Luka ; Vlah, Domagoj ; Županović, Vesna
2015.
Electronic journal of differential equations

Characteristic box dimension of Poincare map of nilpotent focus

Lana Horvat Dmitrović, Vesna Županović
2015.
EQUADIFF 2015

Fractal analysis of bifurcations of dynamical systems

Vesna Županović
2015.
Theoretical and computational methods in dynamical systems and fractal geometry

Particle’s Trajectory – Implementation in Maritime Traffic

Lale, Dinka ; Županović, Vesna ; Grbavac, Ivan
2015.
Our Sea, International Journal of Maritime Science & Technology

Mathematics 1

Andrea Aglić Aljinović, Ilko Brnetić, Vladimir Ćepulić, Neven Elezović, Ljubo Marangunić, Mervan Pašić, Darko Žubrinić, Vesna Županović
2014.

Fractal analysis of unit time map and cyclicity of nilpotent singularities of planar vector field

Lana Horvat Dmitrović, Vesna Županović
2014.
Symposium on Differential Equations and Difference Equations 2014

Project RADDAR

Domagoj Kovačević, Sandra Madžar, Vesna Županović
2014.
Poučak : časopis za metodiku i nastavu matematike

Fractal dimensions of oscillatory integrals

Rolin, Jean-Philippe ; Vlah, Domagoj ; Županović, Vesna
2014.
The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications

Fractal Analysis of unit-time map and cyclicity of nilpotent singularities of planar vector fields

Horvat Dmitrović, Lana ; Županović, Vesna
2014.
10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications

Multiplicity of fixed points and growth of epsilon- neighborhoods of orbits

Pavao Mardešić, Maja Resman, Vesna Županović
2013.
Workshop Dynamical Systems and Applications

Fractal properties of oscillatory solutions of a class of ordinary differential equations

Korkut, Luka ; Vlah, Domagoj ; Žubrinić, Darko ; Županović, Vesna
2013.
8th Conference on Applied Mathematics and Scientific Computing, ApplMath13

Fractal properties of generalized Bessel functions

Korkut, Luka ; Vlah, Domagoj ; Županović, Vesna
2013.
Workshop on Dynamical Systems and Applications, Basque Center for Applied Mathematics

Mathematics for curious RADDAR

Madžar, Sandra ; Županović, Vesna
2013.
Matematika i škola

OSCILLATORITY OF FRESNEL INTEGRALS AND CHIRP–LIKE FUNCTIONS

Resman, Maja ; Vlah, Domagoj ; Županović, Vesna
2013.
Differential Equations & Applications

The particle’s trajectory - Implementation

Lale, Dinka ; Županović, Vesna ; Grbavac, Ivan
2013.
World Scientific and Engineering Academy and Society ; 4th European Conference for the Applied Mathematics and Informatics (AMATHI '13)

Multiplicity of fixed points and growth of varepsilon-neighbourhoods of orbits

Vesna Županović, Pavao Mardešić, Maja Resman
2012.
Fifth Croatian Mathematical Congress

Mathematical and Computer Modelling of Lotka- Volterra Systems

Vidović, Petra
2012.

Fractal analysis of Hopf bifurcation at infinity

Radunović, Goran ; Žubrinić, Darko ; Županović, Vesna
2012.
International journal of bifurcation and chaos in applied sciences and engineering

Fractal properties of Bessel equation

Korkut, Luka ; Vlah Domagoj ; Žubrinić Darko ; Županović Vesna
2012.
5th Croatian Mathematical Congress June 18 - 21, 2012, Rijeka, Croatia

Multiplicity of fixed points and growth of ε-neighborhoods of orbits

Mardešić, Pavao ; Resman, Maja ; Županović, Vesna
2012.
Journal of differential equations

Connection between box dimension and cyclicity for planar systems

Mardešić, Pavao ; Resman, Maja ; Županović, Vesna
2011.
Equadiff Conference 2011

Multiplicity of Fixed Points and Growth of r- Neighborhoods of Orbits

Mardešić, Pavao ; Resman, Maja ; Županović, Vesna
2011.
First International Meeting PISRS-PISRS Conference 2011

Fractal properties of solutions of differential equations

Pašić, Mervan ; Žubrinić, Darko ; Županović, Vesna
2011.

Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schroedinger Cauchy problems

Milišić, Josipa Pina ; Žubrinić, Darko ; Županović, Vesna
2010.
Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE)

Differential equations and stability theory

Korkut, Luka ; Županović, Vesna
2009.

Celebrating 90th anniversary of the Department of Applied Mathematics of FER in Zagreb

Županović, Vesna ; Žubrinić, Darko
2009.
Matematičko fizički list

Box dimension and Minkowski content of the clothoid

Korkut, Luka ; Žubrinić, Darko ; Županović, Vesna
2009.
Fractals

Oscillatory and phase dimensions of solutions of some second-order differential equations

Pašić, Mervan ; Žubrinić, Darko ; Županović, Vesna
2009.
Bulletin des sciences mathématiques

The existence of positive solutions of polyharmonic equations with strong dependence on the gradient

Horvat, Lana ; Kraljević, Jadranka ; Žubrinić, Darko ; Županović, Vesna
2008.
Četvrti hrvatski matematički kongres, Osijek, 2008.

Generalized Fresnel integrals and fractal properties of related spirals

Korkut, Luka ; Vlah, Domagoj ; Žubrinić, Darko ; Županović, Vesna
2008.
Applied Mathematics and Computation

Poincare map in fractal analysis of spiral trajectories of planar vector fields

Žubrinić, Darko ; Županović, Vesna
2008.
Bulletin of the Belgian Mathematical Society - Simon Stevin

Multiple integrals

Ilko Brnetić, Vesna Županović
2007.

Positive solutions of polyharmonic equations with strong dependence on the gradient

Horvat, Lana ; Kraljević, Jadranka ; Žubrinić, Darko ; Županović, Vesna
2007.
EQUADIFF 2007

Recent results on fractal analysis of trajectories of some dynamical systems

Županović, Vesna ; Žubrinić, Darko
2007.
Conference in Functional Analysis IX in Dubrovnik 2005

Positive solutions of polyharmonic equations with strong dependence on the gradient

Horvat, Lana ; Kraljević, Jadranka ; Žubrinić, Darko ; Županović, Vesna
2007.
Complex Variables and Elliptic Equations

Box dimension of spiral trajectories of some vector fields in R^3

Žubrinić, Darko ; Županović, Vesna
2007.
Qualitative Theory of Dynamical Systems

Box dimension of trajectories of some discrete dynamical systems

Elezović, Neven ; Županović, Vesna ; Žubrinić, Darko
2007.
Chaos, Solitons & Fractals

Fractal analysis of spiral trajectories of some planar vector fields

Županović, Vesna
2006.
Barcelona Conference in Planar Vector Fields

Fractal dimensions in dynamics

Županović, Vesna ; Žubrinić, Darko
2006.

Fractal analysis of spiral trajectories of some vector fields in ${; ; ; \mathbb R}; ; ; ^3$

Žubrinić, Darko ; Županović, Vesna
2006.
Comptes rendus. Mathématique

Fractal analysis of spiral trajectories of some planar vector fields

Žubrinić, Darko ; Županović, Vesna
2005.
Bulletin des sciences mathématiques

Box dimensions and Minkowski contents of spiral trajectories

Žubrinić, Darko ; Županović, Vesna
2004.
Bifurcations, Cycles limites et Feuilletages Analytiques

Some metric-singular properties of the graph of solutions of the one-dimensional p-Laplacian

Pašić, Mervan ; Županović, Vesna
2004.
Electronic Journal of Differential Equations

The dynamics of some cubic vector fields with a center

Županović, Vesna
2001.
Mathematical communications

Topological Equivalence of Planar Vector Fields and Their Generalised Principal Part

Županović, Vesna
2000.
Journal of Differential Equations

The principal part of planar vector fields

Županović, Vesna
1997.

Generalised principal part of some planar vector fields

Županović, Vesna
1996.
Glasnik matematički
  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

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

----------------------------------------------------

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