A systematic framework for classification of parameter space dynamics in the Duffing oscillator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10258860" target="_blank" >RIV/61989100:27740/25:10258860 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S259012302503909X" target="_blank" >https://www.sciencedirect.com/science/article/pii/S259012302503909X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.rineng.2025.107857" target="_blank" >10.1016/j.rineng.2025.107857</a>
Alternative languages
Result language
angličtina
Original language name
A systematic framework for classification of parameter space dynamics in the Duffing oscillator
Original language description
This paper introduces a systematic framework for classifying the parameter space of the Duffing oscillator into three distinct levels. The first level categorizes the parameter space based on statistical properties, identifying diverging, non-diverging, and fixed point attractors. The second level focuses on the nature of the eigenvalues. In this paper, nine distinct types and their corresponding parameter ranges are identified. Finally, the third level classifies chaotic and periodic behaviors using Lyapunov exponents. For a single initial state, 19965 cases are analyzed, revealing that most of the parameter space is diverging, with few regions of nondiverging cases, highlighting the importance of precise design decisions to remain in stable regions. With the variation in initial states, the category distribution also varies across the parameter space. To this end, the analysis of selected cases from classification results is conducted using tools: attractors, multistability, time series, Lyapunov exponents, binary mapping, return map, Poincar & eacute; map, and power spectrum. In addition, the representation of behavior across classified parameter space is obtained. Moreover, the design choices made to replicate the behavior of the Duffing oscillator in its electrical circuit counterpart are presented, ensuring alignment in their dynamic responses. Hardware experiments validated the chaotic and periodic behaviors under varying conditions. The comprehensive dataset including attractors, Lyapunov exponents, and categorized parameter space is created that can be used in the future and offers a valuable resource for engineers and researchers.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Results in Engineering
ISSN
2590-1230
e-ISSN
2590-1230
Volume of the periodical
28
Issue of the periodical within the volume
December
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
22
Pages from-to
107857
UT code for WoS article
001606410600002
EID of the result in the Scopus database
2-s2.0-105020577658