An efficient numerical simulation of chaos dynamical behaviors for fractional-order Rössler chaotic systems with Caputo fractional derivative

An efficient numerical simulation of chaos dynamical behaviors for fractional-order Rössler chaotic systems with Caputo fractional derivative

This paper introduces a numerical approach for the fractional-order Rössler chaotic systems and gives error analysis. The effectiveness of the present method is determined by comparing the numerical results of the high-precision difference scheme and predictor-correctors scheme. Some complex dynamic...

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Veröffentlicht in:Journal of low frequency noise, vibration, and active control vibration, and active control, 2024-06, Vol.43 (2), p.609-616
Hauptverfasser: Wang, Ji-Lei, Wang, Yu-Lan, Li, Xiao-Yu
Format: Artikel
Sprache:eng
Schlagworte:
Chaos theory
Error analysis
System effectiveness
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Zusammenfassung:This paper introduces a numerical approach for the fractional-order Rössler chaotic systems and gives error analysis. The effectiveness of the present method is determined by comparing the numerical results of the high-precision difference scheme and predictor-correctors scheme. Some complex dynamical behaviors for the fractional-order Rössler chaotic systems are shown.
ISSN:1461-3484
2048-4046
DOI:10.1177/14613484231224611