The dynamics of the Caputo-fractional variable-order difference form of the Tinkerbell map are studied. The phase portraits, bifurcation, and largest Lyapunov exponent (LLE) were employed to demonstrate the presence of chaos over a different fractional variable-order and establish the nature of the dynamics. In addition, the 0-1 test tool was used to detect chaos. Finally, the numerical results were confirmed using the approximate entropy.
The Discrete Fractional Variable-Order Tinkerbell Map: Chaos, 0–1 Test, and Entropy
Grassi G.
2022-01-01
Abstract
The dynamics of the Caputo-fractional variable-order difference form of the Tinkerbell map are studied. The phase portraits, bifurcation, and largest Lyapunov exponent (LLE) were employed to demonstrate the presence of chaos over a different fractional variable-order and establish the nature of the dynamics. In addition, the 0-1 test tool was used to detect chaos. Finally, the numerical results were confirmed using the approximate entropy.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
mathematics-10-03173 (1).pdf
accesso aperto
Tipologia:
Versione editoriale
Licenza:
Creative commons
Dimensione
1.09 MB
Formato
Adobe PDF
|
1.09 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
