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8th Croatian Mathematical Congress

2–5 Jul 2024
Osijek
Europe/Zagreb timezone

Conference office

Session

Dynamical Systems, Ordinary Differential Equations and Applications

DS/ODE
2 Jul 2024, 17:30
D6 (School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek)

D6

School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek

Trg Ljudevita Gaja 6, Osijek

Conveners

Dynamical Systems, Ordinary Differential Equations and Applications

  • Dino Peran (Faculty of Science, University of Split)

Presentation materials

There are no materials yet.

  1. 109. Linearization of germs with logarithmic asymptotic bounds on Riemann surface of the logarithm
    Dino Peran (Faculty of Science, University of Split)
    02/07/2024, 17:30
    DS/ODE: Dynamical Systems, Ordinary Differential Equations and Applications
    Talk

    We consider germs $f$ with asymptotic logarithmic bounds, i.e. $f(z)=\lambda z+o(zL(z))$, $0<|\lambda |<1$, uniformly as $|z|\to 0$, on Riemann surface of the logarithm, where $L(z)$ is, roughly speaking, some product of powers of iterated logarithms . Instead of the standard $z$-chart, we consider the logarithmic chart $\zeta :=-\log z$ which is a global chart for Riemann surface of the...

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  2. 113. On the periods of periodic points in the hyperspace of continua in dimension one
    Domagoj Jelić (University of Split, Faculty of Science)
    02/07/2024, 17:50
    DS/ODE: Dynamical Systems, Ordinary Differential Equations and Applications
    Talk

    Whenever we are given a selfmap f of a compact metric space
    X, we can associate with it the induced mapping C(f) on the
    hyperspace C(X) of continua in X, defined in a natural way.

    In this talk we discuss and provide the answer to the following question:
    Let f be a selfmap of a topological tree T, and let x be a periodic point of f of given period p. *What are the...

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  3. 158. Fractal Analysis of Hyperbolic and Semi-Hyperbolic Saddles with Applications
    Vlatko Crnković (University of Zagreb, Faculty of Electrical Engineering and Computing; Hasselt University, Belgium)
    02/07/2024, 18:10
    DS/ODE: Dynamical Systems, Ordinary Differential Equations and Applications
    Talk

    It is already well known that the multiplicity/cyclicity of limit cycles and weak foci of analytic planar vector fields can be determined from the Minkowski dimension of spiral trajectories near such limit periodic sets. In these configurations the intersection of a spiral trjectory with any transversal to the limit cycle/weak focus has the same Minkowski dimension. On the other hand,...

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