[HTML][HTML] Quantifying chaos by various computational methods. Part 2: Vibrations of the Bernoulli–Euler beam subjected to periodic and colored noise
J Awrejcewicz, AV Krysko, NP Erofeev, V Dobriyan… - Entropy, 2018 - mdpi.com
In this part of the paper, the theory of nonlinear dynamics of flexible Euler–Bernoulli beams
(the kinematic model of the first-order approximation) under transverse harmonic load and …
(the kinematic model of the first-order approximation) under transverse harmonic load and …
On disruptions of semigroups and points strongly focusing chaos
RJ Pawlak, J Poprawa - Taiwanese Journal of Mathematics, 2024 - projecteuclid.org
In the mathematical literature, there are various approaches to the concept of chaos, also in
the local aspects. Points of chaos (connected with homoclinic points of Poincare), points of …
the local aspects. Points of chaos (connected with homoclinic points of Poincare), points of …
On topological entropy (chaos) realized far from fixed point
EK Kubiak, RJ Pawlak, J Poprawa - Topology and its Applications, 2024 - Elsevier
In many papers, the concept of chaos is associated with positive topological entropy. The
points around which chaos is concentrated are also often examined. In this paper we …
points around which chaos is concentrated are also often examined. In this paper we …
Distortion of dynamical systems in the context of focusing the chaos around the point
RJ Pawlak - International Journal of Bifurcation and Chaos, 2018 - World Scientific
In the paper, we examine local aspects of chaos for self-functions on topological manifolds.
For this purpose, issues related to focal entropy points and homoclinic points are used. We …
For this purpose, issues related to focal entropy points and homoclinic points are used. We …
On local aspects of entropy
RJ Pawlak, E Korczak-Kubiak - … : Łódź, Poland December 11–14, 2017 14, 2018 - Springer
Although the notion of an entropy has a global character, in many cases the value of an
entropy depends on the behaviour of a function near some point. For that reason, in many …
entropy depends on the behaviour of a function near some point. For that reason, in many …
Chaotic Points of Multifunctions
RJ Pawlak - Taiwanese Journal of Mathematics, 2022 - JSTOR
1. Introduction and preliminaries Page 1 TAIWANESE JOURNAL OF MATHEMATICS Vol. 26,
No. 4, pp. 799–830, August 2022 DOI: 10.11650/tjm/220402 Chaotic Points of Multifunctions …
No. 4, pp. 799–830, August 2022 DOI: 10.11650/tjm/220402 Chaotic Points of Multifunctions …
On functions attracting positive entropy
ON FUNCTIONS ATTRACTING POSITIVE ENTROPY Page 1 Bull. Aust. Math. Soc. 97 (2018),
69–79 doi:10.1017/S0004972717000855 ON FUNCTIONS ATTRACTING POSITIVE ENTROPY …
69–79 doi:10.1017/S0004972717000855 ON FUNCTIONS ATTRACTING POSITIVE ENTROPY …
Stable, almost stable and odd points of dynamical systems
We consider stable and almost stable points of autonomous and nonautonomous discrete
dynamical systems defined on the closed unit interval. Our considerations are associated …
dynamical systems defined on the closed unit interval. Our considerations are associated …
Measuring chaos by entropy for a finite family of functions
In this paper, we consider chaos of a finite family of continuous functions. As a measure of
chaos, we use three types of entropies defined for that family. The first type of entropy is …
chaos, we use three types of entropies defined for that family. The first type of entropy is …