 Bibliography (CROSBI)
 List of select publications
 Teaching duties
 Research areas
 Personal data
 List of select projects
Mathematical modeling with linear function: multivitamin, taxi and velocity
Tubular neighborhoods of orbits of power logarithmic germs
The Fatou coordinate for parabolic Dulac germs
Introduction to fractal analysis of orbits of dynamical systems
EpsilonNEIGHBORHOODS OF ORBITS OF DYNAMICAL SYSTEMS
Fractal Geometry of Oscillatory Integrals and Singularities of Differentiable Maps
Fractal Properties of Oscillatory Integrals and Singularities of Differentiable Maps
Computer supported applied mathematics
Normal forms and embeddings for powerlog transseries
Wavy spirals and their fractal connection with chirps
Fractal properties of Bessel functions
Mathematics 2
Characteristic box dimension of unittime map near nilpotent singularity of planar vector field and applications
Formal normal forms and formal embeddings into flows for powerlog transseries
Oscillatory Integrals and Fractal Dimension
Geometrical properties of systems with spiral trajectories in R^3
Characteristic box dimension of Poincare map of nilpotent focus
Fractal analysis of bifurcations of dynamical systems
Particle’s Trajectory – Implementation in Maritime Traffic
Mathematics 1
Fractal analysis of unit time map and cyclicity of nilpotent singularities of planar vector field
Project RADDAR
Fractal dimensions of oscillatory integrals
Fractal Analysis of unittime map and cyclicity of nilpotent singularities of planar vector fields
Multiplicity of fixed points and growth of epsilon neighborhoods of orbits
Fractal properties of oscillatory solutions of a class of ordinary differential equations
Fractal properties of generalized Bessel functions
Mathematics for curious RADDAR
OSCILLATORITY OF FRESNEL INTEGRALS AND CHIRP–LIKE FUNCTIONS
The particle’s trajectory  Implementation
Multiplicity of fixed points and growth of varepsilonneighbourhoods of orbits
Mathematical and Computer Modelling of Lotka Volterra Systems
Fractal analysis of Hopf bifurcation at infinity
Fractal properties of Bessel equation
Multiplicity of fixed points and growth of εneighborhoods of orbits
Connection between box dimension and cyclicity for planar systems
Multiplicity of Fixed Points and Growth of r Neighborhoods of Orbits
Fractal properties of solutions of differential equations
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schroedinger Cauchy problems
Differential equations and stability theory
Celebrating 90th anniversary of the Department of Applied Mathematics of FER in Zagreb
Box dimension and Minkowski content of the clothoid
Oscillatory and phase dimensions of solutions of some secondorder differential equations
The existence of positive solutions of polyharmonic equations with strong dependence on the gradient
Generalized Fresnel integrals and fractal properties of related spirals
Poincare map in fractal analysis of spiral trajectories of planar vector fields
Multiple integrals
Positive solutions of polyharmonic equations with strong dependence on the gradient
Recent results on fractal analysis of trajectories of some dynamical systems
Positive solutions of polyharmonic equations with strong dependence on the gradient
Box dimension of spiral trajectories of some vector fields in R^3
Box dimension of trajectories of some discrete dynamical systems
Fractal analysis of spiral trajectories of some planar vector fields
Fractal dimensions in dynamics
Fractal analysis of spiral trajectories of some vector fields in ${; ; ; \mathbb R}; ; ; ^3$
Fractal analysis of spiral trajectories of some planar vector fields
Box dimensions and Minkowski contents of spiral trajectories
Some metricsingular properties of the graph of solutions of the onedimensional pLaplacian
The dynamics of some cubic vector fields with a center
Topological Equivalence of Planar Vector Fields and Their Generalised Principal Part
The principal part of planar vector fields
Generalised principal part of some planar vector fields
 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 34793513 Q1 5%, 17/310 Math.
 P. Mardešić, M. Resman, J.P. Rolin, V. Županović, Normal forms and embeddings for powerlog transseries, Advances in mathematics. 303 (2016), 888953, Q1 10%, 33/310 Math.
 L. Korkut, D. Vlah, V. Županović, Fractal properties of Bessel functions. Appl. Math. Comput. 283 (2016), 55–69 Q1 8%, 21/252 Math. Appl.
 P. Mardešić, M. Resman, V. Županović, Multiplicity of fixed points and growth of εneighbor. of orbits, Journal of Differential Equations 253, 8 (2012), 2493–2514 Q1 5%, 17/310 Math
 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.
 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; 947960,
 V. Županović, D. Žubrinić, Fractal dimensions in dynamics, in Encyclopedia of Mathematical Physics, JeanPierre Françoise, Greg Naber, Sheung Tsun Tsou (editors), Elsevier Oxford (2006) Vol. 2, 394402 (Invited paper)
 V. Županović, Topological Equivalence of Planar Vector Fields and Their Generalised Principal Part, Journal of Differential Equations 167, (2000), 115 Q1 5%, 17/310 Math.
Teaching duties
University undergraduate
 Dynamical Systems, Mathematical Aspect of Stability and Control (Lecturer in charge)
 Mathematical Analysis 3 (Lecturer in charge)
 Mathematics 3  EE (Lecturer in charge)
 BSc Thesis (Lecturers)
 Project (Lecturers)
 Software Design Project (Lecturers)
 Software Design Project (Lecturers)
University graduate
 Differential Equations and Stability Theory (Lecturer in charge)
 Graduation Thesis (Lecturers)
 Project (Lecturers)
 Seminar (Lecturers)
Postgraduate doctoral study programme
 Differential Equations and Dynamical Systems (Lecturer in charge)
 Mathematical Methods in Control Theory (Lecturer in charge)
 Research seminar in control engineering and automation 1 (Lecturer in charge)
 Research seminar in control engineering and automation 2 (Lecturer in charge)
 Research seminar in control engineering and automation 3 (Lecturer in charge)
 Research seminar in control engineering and automation 4 (Lecturer in charge)
 Research seminar in control engineering and automation 5 (Lecturer in charge)
 Research seminar in control engineering and automation 6 (Lecturer in charge)
Competences

Mathematics
Nonlinear equations Bifurcation Fractals Limitcycles Nonlinear dynamical systems Spirals 
Mathematics
Nonlinear equations Bifurcation Fractals Limitcycles Nonlinear dynamical systems Spirals
Personal data
List of select projects
1. Classification of fixed points and singularities by eneighborhoods of orbits and curves
2015– 2016, bilateral CroatianFrench Cogito Hubert Curien project, Leader Vesna Županović, French leader Pavao Mardešić
2. Fractal analysis of Poincaré map near polycycle
2011– 2012, bilateral CroatianFrench Cogito Hubert Curien project, Leader Vesna Županović, French leader Pavao Mardešić
3. Classifications of Dulac maps and epsilonneighborhoods, 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 LowDimensional Dynamical Systems, 2015– 2019, HRZZ collaborator
6. Kinetic wealth distribution models and diffusive limit equations, 2010– 2011, bilateral CroatianAustrian project, collaborator
7. Viscous approximation of quantum EulerPoisson systems, 2009– 2010, bilateral CroatianAustrian 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 CroatianMacedonian 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 2013today, leader,
PartnersFER, XV. gimnazija, Croatian Mathematical Society, MNM Marin Getaldić
STEM geniuses project, funded by European Social Fund, 20152016, collaboration in writing handbook http://www.stemgenijalci.eu/matematikainformatika