Lyapunov exponent using Euler’s algorithm with applications in optimization problems
The difference and differential equations have played an eminent part in nonlinear dynamics systems, but in the last two decades one-dimensional difference maps are considered in the forefront of nonlinear systems and the optimization of transportation problems. In the nineteenth century, t...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Belgrade
2022-01-01
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| Series: | Yugoslav Journal of Operations Research |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-0243/2022/0354-02432204503A.pdf |
| _version_ | 1811155188088569856 |
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| author | Ashish Monia Kumar Manoj Khamosh Malik A.K. |
| author_facet | Ashish Monia Kumar Manoj Khamosh Malik A.K. |
| author_sort | Ashish |
| collection | DOAJ |
| description | The difference and differential equations have played an eminent part in
nonlinear dynamics systems, but in the last two decades one-dimensional
difference maps are considered in the forefront of nonlinear systems and the
optimization of transportation problems. In the nineteenth century, the
nonlinear systems have paved a significant role in analyzing nonlinear
phenomena using discrete and continuous time interval. Therefore, it is used
in every branch of science such as physics, chemistry, biology, computer
science, mathematics, neural networks, traffic control models, etc. This
paper deals with the maximum Lyapunov exponent property of the nonlinear
dynamical systems using Euler’s numerical algorithm. The presents
experimental as well as numerical analysis using time-series diagrams and
Lyapunov functional plots. Moreover, due to the strongest property of
Lyapunov exponent in nonlinear system it may have some application in the
optimization of transportation models. |
| first_indexed | 2024-04-10T04:30:00Z |
| format | Article |
| id | doaj.art-dd1356b7a7ee4ec6a9fd495a2c03812c |
| institution | Directory Open Access Journal |
| issn | 0354-0243 1820-743X |
| language | English |
| last_indexed | 2024-04-10T04:30:00Z |
| publishDate | 2022-01-01 |
| publisher | University of Belgrade |
| record_format | Article |
| series | Yugoslav Journal of Operations Research |
| spelling | doaj.art-dd1356b7a7ee4ec6a9fd495a2c03812c2023-03-10T08:08:02ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2022-01-0132450351410.2298/YJOR220615024A0354-02432204503ALyapunov exponent using Euler’s algorithm with applications in optimization problemsAshish0Monia1Kumar Manoj2Khamosh3Malik A.K.4Department of Mathematics, Government College, Satnali, IndiaDepartment of Mathematics, Baba Mastnath University, Rohtak, IndiaDepartment of Mathematics, Baba Mastnath University, Rohtak, IndiaDepartment of Mathematics, TGT Maths, Government Teacher, DelhiSchool of Sciences, UP Rajarshi Tandon Open University, Prayagraj, IndiaThe difference and differential equations have played an eminent part in nonlinear dynamics systems, but in the last two decades one-dimensional difference maps are considered in the forefront of nonlinear systems and the optimization of transportation problems. In the nineteenth century, the nonlinear systems have paved a significant role in analyzing nonlinear phenomena using discrete and continuous time interval. Therefore, it is used in every branch of science such as physics, chemistry, biology, computer science, mathematics, neural networks, traffic control models, etc. This paper deals with the maximum Lyapunov exponent property of the nonlinear dynamical systems using Euler’s numerical algorithm. The presents experimental as well as numerical analysis using time-series diagrams and Lyapunov functional plots. Moreover, due to the strongest property of Lyapunov exponent in nonlinear system it may have some application in the optimization of transportation models.http://www.doiserbia.nb.rs/img/doi/0354-0243/2022/0354-02432204503A.pdfoptimizationeuler’s algorithmlyapunov exponentlogistic mapchaos |
| spellingShingle | Ashish Monia Kumar Manoj Khamosh Malik A.K. Lyapunov exponent using Euler’s algorithm with applications in optimization problems Yugoslav Journal of Operations Research optimization euler’s algorithm lyapunov exponent logistic map chaos |
| title | Lyapunov exponent using Euler’s algorithm with applications in optimization problems |
| title_full | Lyapunov exponent using Euler’s algorithm with applications in optimization problems |
| title_fullStr | Lyapunov exponent using Euler’s algorithm with applications in optimization problems |
| title_full_unstemmed | Lyapunov exponent using Euler’s algorithm with applications in optimization problems |
| title_short | Lyapunov exponent using Euler’s algorithm with applications in optimization problems |
| title_sort | lyapunov exponent using euler s algorithm with applications in optimization problems |
| topic | optimization euler’s algorithm lyapunov exponent logistic map chaos |
| url | http://www.doiserbia.nb.rs/img/doi/0354-0243/2022/0354-02432204503A.pdf |
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