Centre for Nonlinear Dynamics Zagreb

Department of Mathematics, Bijenicka 30, Zagreb, Croatia. Email: cnd@math.hr


2015 News


On 11th June 2015, Braslav Rabar defended his PhD thesis under the guidance of Professor Siniša Slijepčević (University of Zagreb), titled "Dynamics of nonautonomous Frenkel-Kontorova model" ("Dinamika neautonomnoga Frenkel-Kontorovina modela").


Professor Sonja Štimac is among the organizers of the following International conferences:


On 25th March 2015, Goran Radunović defended his PhD thesis under the guidance of Professors Michel L. Lapidus (University of California, Riverside) and Darko Žubrinić (University of Zagreb).


2014 News

New projects!

Sonja Štimac: Dynamics of Henon and Lozi maps, Newfelpro project 2014-2017

Vesna Županović: Classification de points fixes et de singularités à l'aide d'epsilon-voisinages d'orbites et de courbes, Cogito project 2015-2016

Maja Resman awarded a prize! Maja Resman is  the winner of the BERND AULBACH PRIZE 2014 FOR STUDENTS. The prize was given by International Society of Difference Equations. The Aulbach Prize for Students is awarded for young scientists significant contributions to the areas of difference equations and/or discrete dynamical systems. Congratulations Maja!

Vesna Županović a Scientific director: Vesna has been appointed a Scientific Director of European Advanced Studies Conference 2014, Symposium on Differential and Difference Equations.

Joint research of Darko Žubrinić, Goran Radunovic and Michel L. Lapidus, to be included in the presentation "NSF Research Highlights in the Mathematical and Physical Sciences". It is a honour and recognition of a high quality of their joint research, and will ensure further visibility of their results. It will also be presented as a Plenary talk on the conference Fractal Geometry and Stochastics, Jena, Germany. More info here! Congratulations Darko and Goran!

Sonja Štimac a plenary speaker! Sonja will give a plenary lecture at the 48th Spring Topology and Dynamics Conference, one of the leading international events in the field of topological dynamics.

Dynamics Days 2014, Geogia Tech, Atlanta lecture, given by Sinisa Slijepčević, can be found here.

Recent progress in the study of Extended Dynamical Systems: A series of papers by Siniša Slijepčević, partly a joint work with Thierry Gallay, has recently appeared or been accepted in the leading journals NonlinearityDiscrete and Cont. Dyn. Systems AJournal of Dynamics and Diff. Equations, and Communications in PDE.

A recently accepted paper by Lana Horvat-Dmitrović, to appear in Journal of Difference Equations and Applications, can be found here.

2013 News

2 November 2013:  Professor M. Lapidus will at the AMS Conference, University of Riverside, California, announce results from the joint monograph:

M. Lapidus, G. Radunovic, D. Zubrinic: Fractal Zeta Functions and Complex Dimensions: A General Higher-Dimensional Theory.

Abstract: We will give some sample results from the new theory developed in the forthcoming joint research monograph (by the three authors of this abstract), entitled "Fractal Zeta Functions: Higher- Dimensional Theory of Complex Dimensions", and explain its connections with the earlier one-dimensional theory of complex dimensions developed, in particular, in the research monograph (by M. L. Lapidus and M. van Frankenhuijsen) entitled "Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings" (Springer Research Monographs, Springer, New York, 2013; 2nd rev. and enl. edn. of the 2006 edn.). In particular, to an arbitrary compact subset A of the N-dimensional Euclidean space (or, more generally, to any relative fractal drum), we will associate new distance and tube zeta functions, as well as discuss their basic properties, including their holomorphic and meromorphic extensions, and the nature and distribution of their poles (or 'complex dimensions'). We will also show that the abscissa of convergence of each of these fractal zeta functions coincides with the upper box (or Minkowski) dimension of the underlying compact set A, and that the associated residues are intimately related to the (possibly suitably averaged) Minkowski content of A. (Received September 07, 2013).

Wednesday 25 Sep 2013, 10:15h, Seminar for Nonlinear Analysis and Differential Equations:

Goran Radunovic:  "Fraktalna analiza neomeðenih skupova u Euklidskim prostorima i Lapidusove zeta funkcije".

Friday 20 September 2013, Tuesday 18 September 2013, Wednesday 11 September 2013, 10:15h, Seminar for Nonlinear Analysis and Differential Equations:

Maja Resman: "Klasifikacije parabolickih difeomorfizama i epsilon-okoline njihovih orbita".

Wednesday 18 September 2013, 10:00h, Seminar for Nonlinear Analysis and Differential Equations:

Professor Mervan Pašić: "Parametarski pobudjene oscilacije u Duffingovim oscilatorima sa kontoliranim kasnjenjem".




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