Chaos synchronization of the Chua system with a fractional order
By Changpin Li, Weihua Deng, Daolin Xu. 2006
243 citations recorded by the source corpus.
Chaos synchronization of two identical Chua systems with the same fractional order is studied by utilizing the Pecora–Carroll (PC) method, the active–passive decomposition (PAD) method, the one-way coupling method and the bidirectional coupling one. The sufficient conditions for achieving synchronization between these two systems are derived via the Laplace transformation theory. Numerical simulations show the effectiveness of the theoretical analyses.
Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9ad17e4c057ffba6ef3ada50904928b1249deabf
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computer Networks and Communications
In Statistical and Nonlinear Physics
Citations in the corpus
- Remarks on fractional derivatives (2007, methodology): “So the Caputo fractional-order systems are often used in modelling and analysis [4–6,15–29].”
- Stability analysis of linear fractional differential system with multiple time delays (2007, background): “Recently, chaos synchronization of fractional differential equation attracts increasing interests [15–20] due to its potential applications in control processing and secure communication [10].”
- Stability analysis for nonlinear fractional-order systems based on comparison principle (2014, background): “Most of the existing results in the stabilization of nonlinear fractional-order systems are always obtained by designing a controller to completely cancel the nonlinear terms of the original system so that the controlled system may become linear [32–40].”