Published 2015
| Version v1
Journal article
A New Reliable Numerical Method for Computing Chaotic Solutions of Dynamical Systems: The Chen Attractor Case
- Creators
- Lozi, René
- Pchelintsev, Alexander
- Others:
- Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)
- Tambov State Technical University (T S T U) ; Tambov State Technical University (T.S.T.U.)
- This article was partially supported by the Russian Science Foundation (Agreement No. 15-19-10028).
Description
This paper describes a new reliable numerical method for computing chaotic solutions of dynamicalsystems and, in special cases, is applied to Chen strange attractor. The numerical precision ofthe computation is finely mastered.We introduce a modification of the method of power series forthe construction of approximate solutions of the Chen system together with forward/backwardcontrol of the precision. As a test for the method, we obtained the region of convergence ofseries and researched the behavior of the trajectories on this attractor. The results of a numericalexperiment are presented.
Abstract
10 pages; 3 figures.
Abstract
International audience
Additional details
- URL
- https://hal.science/hal-01323625
- URN
- urn:oai:HAL:hal-01323625v1
- Origin repository
- UNICA