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Zeta functions and topological entropy of periodic nonautonomous dynamical systems
In the setting of continuous piecewise monotone interval maps, we study the analytic properties of the zeta function of a periodic nonautonomous dynamical system. Based upon these properties we discuss the relationship betw...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Remarks on definitions of periodic points for nonautonomous dynamical system
Let (X, f(1,infinity)) be a nonautonomous dynamical system. In this paper, we summarize known definitions of periodic points for general nonautonomous dynamical generating the nonautonomous sy...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Chaos in nonautonomous discrete dynamical systems
We consider nonautonomous discrete dynamical systems (I, f(1,infinity)) given by sequences {fn}(n >= 1) of surjective continuous maps fn : I -> I converging uniformly scrambled set of the nonautonomous system
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Spectral invariants of periodic nonautonomous discrete dynamical systems
that for a time-periodic nonautonomous dynamical system F with period p, the p-th power [zeta, in the p-periodic nonautonomous case [zeta(F)(z)](p) may have zeros. In this paper we introduce the concept of spectra...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Relationship between li-yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems
We study chaotic properties of uniformly convergent nonautonomous dynamical systems. We show that, contrary to the autonomous systems on the compact interval, positivity of topological sequence entropy and occurren...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Recurrence in systems with randomly perturbed trajectories on the n-dimensional cube
We generalize some properties of (f, delta)-recurrence introduced in [Szała, 2013] to n-dimensional case and show that (f, delta)-recurrence and uniform (f, delta)-recurrence are equivalent. We also study properties of one-dimensional nonautonomo...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Inheriting of chaos in uniformly convergent nonautonomous dynamical systems on the interval
We consider nonautonomous discrete dynamical systems {f(n)}(n >= 1), where by nonautonomous system {f(n)}(n >= 1)? We show that Li-Yorke chaos, distributional chaos DC1 and, for zero entropy maps, infinite...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On Generic Properties of Nonautonomous Dynamical Systems
We consider nonautonomous dynamical systems consisting of sequences the space of systems F = (f(n))(n >= 1), which are uniformly convergent that for X = I := [0, 1], the generic system in any of the spaces...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Relation of Canonical State Models of Linear and Piecewise-Linear Dynamical Systems
State models of one input linear nonautonomous dynamical systems are modified to the autonomous form using a simple piecewise-linear feedback. As an example the elementary canonical state models of dynamical sy...
JA - Elektronika a optoelektronika, elektrotechnika
- 1999 •
- D
Rok uplatnění
D - Stať ve sborníku
On periodic solutions of two-dimensional nonautonomous differential systems
Nonimprovable conditions are established for the existence and uniqueness of a periodic solution of two-dimensional nonautonomous differential systems......
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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