Unveiling chaos and stability in advection diffusion reaction systems via advanced dynamical and sensitivity analysis
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257671" target="_blank" >RIV/61989100:27740/25:10257671 - isvavai.cz</a>
Result on the web
<a href="https://www.nature.com/articles/s41598-025-89995-x" target="_blank" >https://www.nature.com/articles/s41598-025-89995-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1038/s41598-025-89995-x" target="_blank" >10.1038/s41598-025-89995-x</a>
Alternative languages
Result language
angličtina
Original language name
Unveiling chaos and stability in advection diffusion reaction systems via advanced dynamical and sensitivity analysis
Original language description
This paper focuses on the dynamical analysis of the advection-diffusion-reaction equation under various conditions that highlight the system's sensitivity and potential for chaotic behavior. Traveling wave solutions for the underlying equation are derived using a novel modified (G'/G(2) ) expansion method based on the traveling wave transformation. A broad spectrum of exact traveling wave solutions, including solitons, kinks, periodic solutions, and rational solutions, is obtained. These solutions are recognized as having significant potential applications in fields such as engineering and plasma physics. The proposed method is demonstrated to successfully generate various exponential solutions, such as bright, dark, single, rational, and periodic solitary wave solutions. MATLAB simulations were carried out to visualize the results, producing 3D, 2D, and contour graphs that emphasize the impact of the advection-diffusion-reaction equation. Furthermore, the Galilean transformation is applied to derive the corresponding planar dynamical system, enabling deeper insights into its dynamical behavior. Sensitivity analysis is performed to evaluate the system's response to different initial conditions, with symmetrical properties and equilibrium points being represented through phase portraits. The chaotic behavior of the planar dynamical system under the influence of an external force is also examined. It is revealed that the system exhibits periodic, quasi-periodic, and chaotic processes, with significant increases in intensity and frequency being observed. Additionally, we apply Poincar & eacute; maps and Lyapunov exponent to analyze the behavior of the dynamical system by different initial conditions.
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
21100 - Other engineering and technologies
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
Scientific Reports
ISSN
2045-2322
e-ISSN
2045-2322
Volume of the periodical
15
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
19
Pages from-to
5513
UT code for WoS article
001422399600022
EID of the result in the Scopus database
2-s2.0-85218838079