Advanced search ?

Object

Multiwavelet and multiwavelet packet analysis in qualitative assessment of the chaotic states
Download

Title: Multiwavelet and multiwavelet packet analysis in qualitative assessment of the chaotic states

Creator:

Jarczewska, Kamila

Contributor:

Różański, Adrian. Redakcja

Description:

Studia Geotechnica et Mechanica, Vol. 47, 2025, nr 3, s. 13-26 ; Poprzedni tytuł: Studia Geotechnica

Abstrakt:

This article demonstrates the application of multiwavelet analysis and multiwavelet packet analysis in qualitatively assessing the chaotic nature of a system’s response. Ranges of model parameters that induce chaotic behavior are identified, and the system’s response under these conditions is then analyzed using multiwavelet analysis and multiwavelet packet analysis. By employing a one-degree-of-freedom nonlinear system as an illustrative example, the transition from a non-chaotic to a chaotic state is shown to affect both the magnitude and the temporal distribution of wavelet coefficients across multiple levels of the response analysis. The cumulative energy of the signal’s multiwavelet approximation is calculated to distinguish between chaotic and non-chaotic signals. The results obtained through multiwavelet analysis in identifying the system’s critical states are compared with those derived from traditional wavelet analysis and other established methods for assessing chaos. The presented approach is an alternative to other methods of qualitative identification of chaotic states, and also to provide a generalization to the method in analyzing complex systems.

Publisher:

Oficyna Wydawnicza Politechniki Wrocławskiej

Place of publication:

Wrocław

Date:

2025

Resource Type:

artykuł

Resource Identifier:

doi:10.2478/sgem-2025-0017 ; oai:dbc.wroc.pl:142805

Source:

<sygn. PWr A3355II> ; click here to follow the link ; click here to follow the link

Language:

eng

Relation:

Studia Geotechnica et Mechanica ; Studia Geotechnica et Mechanica, Vol. 47, 2025 ; Studia Geotechnica et Mechanica, Vol. 47, 2025, nr 3

Rights:

Pewne prawa zastrzeżone na rzecz Autorów i Wydawcy

Access Rights:

Dla wszystkich zgodnie z licencją

License:

CC BY-NC-ND 4.0
 ;

Location:

Politechnika Wrocławska

Group publication title:

Studia Geotechnica et Mechanica

Subject and keywords:

geotechnika - czasopisma mechanika - czasopisma multiwavelet analysis multiwavelet packet analysis non-linear system chaos state qualitative identification

Object collections:

Last modified:

Jan 9, 2026

In our library since:

Jan 9, 2026

Number of object content hits:

1

All available object's versions:

https://dbc.wroc.pl/publication/181690

Show description in RDF format:

RDF

Show description in OAI-PMH format:

OAI-PMH

Edition name Date
Multiwavelet and multiwavelet packet analysis in qualitative assessment of the chaotic states Jan 9, 2026

Objects Similar

Studia Geotechnica et Mechanica
Studia Geotechnica et Mechanica
Contents [Studia Geotechnica et Mechanica, Vol. 33, 2011, nr 4]

Izbicki, Ryszard. Redakcja

2011
artykuł
Studia Geotechnica et Mechanica
Studia Geotechnica et Mechanica
Engineering and economic preconditioning for draining of the PWiK facilities in Głogów

Kołodziejczyk, Urszula Izbicki, Ryszard. Redakcja

2012
artykuł
Studia Geotechnica et Mechanica
Studia Geotechnica et Mechanica
Assessment of the impact of the Odra river water levels on groundwater levels in Rzeczyca region

Chalfen, Mieczysław Głuchowska, Beata Pływaczyk, Leszek (1945- ) Izbicki, Ryszard. Redakcja

2012
artykuł
Studia Geotechnica et Mechanica
Studia Geotechnica et Mechanica
Contents [Studia Geotechnica et Mechanica, Vol. 33, 2011, nr 3]

Izbicki, Ryszard. Redakcja

2011
artykuł
Studia Geotechnica et Mechanica
Studia Geotechnica et Mechanica
Contents [Studia Geotechnica et Mechanica, Vol. 33, 2011, nr 1]

Izbicki, Ryszard. Redakcja

2011
artykuł
Studia Geotechnica et Mechanica
Studia Geotechnica et Mechanica
Contents [Studia Geotechnica et Mechanica, Vol. 33, 2011, nr 2]

Izbicki, Ryszard. Redakcja

2011
artykuł
Studia Geotechnica et Mechanica
Studia Geotechnica et Mechanica
Description of hydraulic and strength properties of anisotropic geomaterials

Pietruszczak, S. Pande, G. N. Izbicki, Ryszard. Redakcja

2012
artykuł
Studia Geotechnica et Mechanica
Studia Geotechnica et Mechanica
Analysis of displacement of excavation based on inclinometer measurements

Gorska, Karolina Wyjadłowski, Marek Izbicki, Ryszard. Redakcja

2012
artykuł
More
×

Citation

Citation style:

Contact details

Address

Wrocław University of Science and Technology (Coordinator)
Library of Wrocław University of Science and Technology
Wybrzeże Wyspiańskiego 27
50-370 Wrocław, Poland

Phone

(+48) 71-320-38-30
(+48) 71-320-47-50

E-Mail

bc@pwr.edu.pl

Visit us!

https://biblioteka.pwr.edu.pl/

This page uses 'cookies'. More information