Zobrazeno 1 - 10
of 149
pro vyhledávání: '"Radunovic, Goran"'
In this paper we define the notion of slow divergence integral along sliding segments in regularized planar piecewise smooth systems. The boundary of such segments may contain diverse tangency points. We show that the slow divergence integral is inva
Externí odkaz:
http://arxiv.org/abs/2310.06719
Publikováno v:
Qualitative Theory of Dynamical Systems (2023) 22:154
In planar slow-fast systems, fractal analysis of (bounded) sequences in $\mathbb R$ has proved important for detection of the first non-zero Lyapunov quantity in singular Hopf bifurcations, determination of the maximum number of limit cycles produced
Externí odkaz:
http://arxiv.org/abs/2304.09618
Autor:
Radunović, Goran
Publikováno v:
Bull. Malays. Math. Sci. Soc. 46, 107 (2023)
In this paper we introduce an interesting family of relative fractal drums (RFDs in short) at infinity and study their complex dimensions which are defined as the poles of their associated Lapidus (distance) fractal zeta functions introduced in a pre
Externí odkaz:
http://arxiv.org/abs/2208.11245
Publikováno v:
Journal of Differential Equations 355 (2023) 162-192
In this paper we introduce the notion of fractal codimension of a nilpotent contact point $p$, for $\lambda=\lambda_0$, in smooth planar slow$-$fast systems $X_{\epsilon,\lambda}$ when the contact order $n_{\lambda_0}(p)$ of $p$ is even, the singular
Externí odkaz:
http://arxiv.org/abs/2208.10173
In this paper we study germs of diffeomorphisms in the complex plane. We address the following problem: How to read a diffeomorphism $f$ knowing one of its orbits $\mathbb{A}$? We solve this problem for parabolic germs. This is done by associating to
Externí odkaz:
http://arxiv.org/abs/2112.14324
Publikováno v:
Analysis and Mathematical Physics (2022) 12:114
In this paper, we prove that fractal zeta functions of orbits of parabolic germs of diffeomorphisms can be meromorphically extended to the whole complex plane. We describe their set of poles (i.e. their complex dimensions) and their principal parts w
Externí odkaz:
http://arxiv.org/abs/2010.05955
Publikováno v:
Pure and Applied Functional Analysis, Volume 5, Number 5, 1073-1094, 2020
We study the essential singularities of geometric zeta functions $\zeta_{\mathcal L}$, associated with bounded fractal strings $\mathcal L$. For any three prescribed real numbers $D_{\infty}$, $D_1$ and $D$ in $[0,1]$, such that $D_{\infty}
Externí odkaz:
http://arxiv.org/abs/1908.07845
Publikováno v:
In Journal of Differential Equations 15 May 2023 355:162-192
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