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A high-precision numerical method to simulating the fractional-order EI Ni ñ o chaotic systems with Riemann–Liouville fractional derivative.
- Source :
- Journal of Low Frequency Noise, Vibration & Active Control; Mar2023, Vol. 42 Issue 1, p134-145, 12p
- Publication Year :
- 2023
-
Abstract
- Chaotic systems arise everywhere in control theory and nonlinear vibration. This paper uses a high-precision numerical approach for capturing chaotic attractors of the fractional EI Ni ñ o chaotic systems. The numerical results indicate that some of the chaotic attractors of fractional-order systems are topologically equivalent to those discovered in the integer-order systems, and some unusual attractors of fractional EI Ni ñ o chaotic systems are found by using the present method. [ABSTRACT FROM AUTHOR]
- Subjects :
- NONLINEAR control theory
FRACTIONAL differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 14613484
- Volume :
- 42
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Low Frequency Noise, Vibration & Active Control
- Publication Type :
- Academic Journal
- Accession number :
- 161971604
- Full Text :
- https://doi.org/10.1177/14613484221119275