prof. dr. sc. Vesna Županović

Redoviti profesor, Zavod za primijenjenu matematiku

  Autorske knjige
 
Primijenjena matematika podržana računalom .
 
  Poglavlja u knjizi
 
Fractal properties of solutions of differential equations // Classification and Application of Fractals / Hagen, William L. (ur.).
Fractal dimensions in dynamics // Encyclopedia of Mathematical Physics ; Vol 2 / Francoise, Jena-Piere ; Naber, Gregora L. ; Tsun, Tsou Sheung (ur.).
 
  Udžbenici i skripta
 
Matematika 2 / Sandra Gračan (ur.).
Matematika 1 / Sandra Gračan (ur.).
Diferencijalne jednadžbe i teorija stabilnosti .
Višestruki integrali-Matematika 3 .
 
  Izvorni znanstveni i pregledni radovi u CC časopisima
 
Fractal properties of Bessel functions. // Applied mathematics and computation. 283 (2016) ; 55-69 (članak, znanstveni).
Normal forms and embeddings for power-log transseries. // Advances in mathematics. 303 (2016) ; 888-953 (članak, znanstveni).
Geometrical properties of systems with spiral trajectories in R^3. // Electronic journal of differential equations. 2015 (2015) , 276; 1-19 (članak, znanstveni).
Multiplicity of fixed points and growth of ε-neighborhoods of orbits. // Journal of differential equations. 253 (2012) , 8; 2493-2514 (članak, znanstveni).
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 (članak, znanstveni).
Box dimension and Minkowski content of the clothoid. // Fractals. 17 (2009) , 4; 485-492 (članak, znanstveni).
Oscillatory and phase dimensions of solutions of some second-order differential equations. // Bulletin des sciences mathématiques. 133 (2009) , 8; 859-874 (članak, znanstveni).
Generalized Fresnel integrals and fractal properties of related spirals. // Applied Mathematics and Computation. 206 (2008) , 1; 236-244 (članak, znanstveni).
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 (članak, znanstveni).
Box dimension of trajectories of some discrete dynamical systems. // Chaos, Solitons & Fractals. 34 (2007) , 2; 244-252 (članak, znanstveni).
Positive solutions of polyharmonic equations with strong dependence on the gradient. // Complex Variables and Elliptic Equations. 52 (2007) , 8; 693-707 (članak, znanstveni).
Box dimension of spiral trajectories of some vector fields in R^3. // Qualitative Theory of Dynamical Systems. 6 (2007) , 2; 203-222 (članak, znanstveni).
Fractal analysis of spiral trajectories of some vector fields in ${; ; ; \mathbb R}; ; ; ^3$. // Comptes rendus. Mathématique. 342 (2006) , 12; 959-963 (članak, znanstveni).
Fractal analysis of spiral trajectories of some planar vector fields. // Bulletin des sciences mathématiques. 129 (2005) , 6; 457-485 (članak, znanstveni).
Topological Equivalence of Planar Vector Fields and Their Generalised Principal Part. // Journal of Differential Equations. 167 (2000.) ; 1-15 (članak, znanstveni).
 
  Znanstveni radovi u drugim časopisima
 
Wavy spirals and their fractal connection with chirps. // Mathematical Communications. 21 (2016) ; 251-271 (članak, znanstveni).
Particle’s Trajectory – Implementation in Maritime Traffic. // Our Sea, International Journal of Maritime Science & Technology. 62 (2015) ; 1-7 (prethodno priopćenje, znanstveni).
Oscillatority of Fresnel integrals and chirp-like functions. // Differential Equations & Applications. 5 (2013) , 4; 527-547 (pregledni rad, znanstveni).
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 (članak, znanstveni).
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 (članak, znanstveni).
The dynamics of some cubic vector fields with a center. // Mathematical communications. 6 (2001) , 1; 11-27 (članak, znanstveni).
Generalised principal part of some planar vector fields. // Glasnik matematički. 31 (1996) , 51; 333-351 (članak, znanstveni).
 
  Ostali radovi u drugim časopisima
 
Projekt RADDAR. // Poučak : časopis za metodiku i nastavu matematike. 15 (2014) , 59; 68-72 (kratko priopćenje, stručni).
Matematika za radoznale RADDAR. // Matematika i škola. 71 (2013.) ; 11-12 (članak, stručni).
Proslava 90. obljetnice Zavoda za primijenjenu matematiku FER-a u Zagrebu. // Matematičko fizički list. 238 (2009.) , 2; 117-120 (osvrt, ostalo).
 
  Radovi u postupku objavljivanja
 
Characteristic box dimension of unit-time map near nilpotent singularity of planar vector field and applications. // arXiv. (2015).
 
  Znanstveni radovi u zbornicima skupova s međunar.rec.
 
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. (ur.).
Positive solutions of polyharmonic equations with strong dependence on the gradient // EQUADIFF 2007Vienna : Vienna University of Technology , 2007..
 
  Drugi radovi u zbornicima skupova s recenzijom
 
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 (ur.).
 
  Sažeci u zbornicima skupova
 
Fractal Geometry of Oscillatory Integrals and Singularities of Differentiable Maps // .
Fractal Properties of Oscillatory Integrals and Singularities of Differentiable Maps // .
Oscillatory Integrals and Fractal Dimension // .
Characteristic box dimension of Poincare map of nilpotent focus // EQUADIFF 2015.
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) (ur.).
Fractal analysis of bifurcations of dynamical systems // Theoretical and computational methods in dynamical systems and fractal geometry.
Fractal Analysis of unit-time map and cyclicity of nilpotent singularities of planar vector fields // .
Fractal dimensions of oscillatory integrals // .
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.
Fractal properties of generalized Bessel functions // .
Fractal properties of oscillatory solutions of a class of ordinary differential equations // .
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.
Fractal properties of Bessel equation // .
Multiplicity of fixed points and growth of varepsilon-neighbourhoods of orbits // Fifth Croatian Mathematical Congress.
Multiplicity of Fixed Points and Growth of r- Neighborhoods of Orbits // First International Meeting PISRS-PISRS Conference 2011.
Connection between box dimension and cyclicity for planar systems // .
Egzistencija pozitivnih rješenja poliharmonijskih jednadžbi sa jakom ovisnošću o gradijentu // .
Box dimension and Minkowski content of generalized Euler spirals // .
Fractal analysis of spiral trajectories of some planar vector fields // Barcelona Conference in Planar Vector Fields, CRM / J.S. Llibre, A.E. Gasull (ur.).
 
  Neobjavljena sudjelovanja na skupovima
 
Box dimensions and Minkowski contents of spiral trajectories // Bifurcations, Cycles limites et Feuilletages Analytiques.
 
  Disertacije
 
Glavni dio ravninskih vektorskih polja / doktorska disertacija.
 
  Diplomski radovi
 
Matematičko i računalno modeliranje sustava Lotka- Volterra / završni rad - diplomski/integralni studij.
 
  Vođenje disertacija, magistarskih i diplomskih radova
 
Stabilnost BAM neuronske mreže / završni rad - diplomski/integralni studij.
Fixed points of diffeomorphisms, singularities of vector fields and epsilon-neighborhoods of their orbits / doktorska disertacija.
Phase dimension of oscillatory solutions of a class of ordinary differential equations with applications / doktorska disertacija.
Matematičko i računalno modeliranje sustava Lotka- Volterra / završni rad - diplomski/integralni studij.
Analiza bifurkacija za klasu neuronskih mreža / završni rad - diplomski/integralni studij.
Fraktalna analiza bifurkacija diskretnih dinamičkih sustava i primjene na kontinuirane sustave / doktorska disertacija.
Lorenzov atraktor / završni rad - diplomski/integralni studij.
Matematičko njihalo / završni rad - diplomski/integralni studij.

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