Discrete chaos in fractional delayed logistic maps

Discrete chaos in fractional delayed logistic maps

Recently the discrete fractional calculus (DFC) started to gain much importance due to its applications to the mathematical modeling of real world phenomena with memory effect. In this paper, the delayed logistic equation is discretized by utilizing the DFC approach and the related discrete chaos is...

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Veröffentlicht in:Nonlinear dynamics 2015-06, Vol.80 (4), p.1697-1703
Hauptverfasser: Wu, Guo-Cheng, Baleanu, Dumitru
Format: Artikel
Sprache:eng
Schlagworte:
Automotive Engineering
Bifurcations
Calculus
Chaos theory
Classical Mechanics
Control
Dynamical Systems
Engineering
Fractional calculus
Gain
Logistics
Lyapunov exponents
Mathematical analysis
Mathematical models
Mechanical Engineering
Original Paper
Vibration
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Beschreibung
Zusammenfassung:Recently the discrete fractional calculus (DFC) started to gain much importance due to its applications to the mathematical modeling of real world phenomena with memory effect. In this paper, the delayed logistic equation is discretized by utilizing the DFC approach and the related discrete chaos is reported. The Lyapunov exponent together with the discrete attractors and the bifurcation diagrams are given.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-014-1250-3