Beyond Chaos in Fractional-Order Systems: Keen Insight in the Dynamic Effects

Beyond Chaos in Fractional-Order Systems: Keen Insight in the Dynamic Effects

Fractional calculus (or arbitrary order calculus) refers to the integration and derivative operators of an order different than one and was developed in 1695. They have been widely used to study dynamical systems, especially chaotic systems, as the use of arbitrary-order operators broke the mileston...

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Main Authors: José Luis Echenausía-Monroy, Luis Alberto Quezada-Tellez, Hector Eduardo Gilardi-Velázquez, Omar Fernando Ruíz-Martínez, María del Carmen Heras-Sánchez, Jose E. Lozano-Rizk, José Ricardo Cuesta-García, Luis Alejandro Márquez-Martínez, Raúl Rivera-Rodríguez, Jonatan Pena Ramirez, Joaquín Álvarez
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Fractal and Fractional
Subjects:
chaos
fractional-order derivative
dynamical systems
fractional-order dynamics
fractional-derivatives
Lyapunov exponent
Online Access:https://www.mdpi.com/2504-3110/9/1/22
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