Chaos synchronization of the fractional Lü system

By Weihua Deng, Changpin Li. 2005

414 citations recorded by the source corpus.

Abstract Chaos synchronization of the fractional Lu system is theoretically and numerically studied by two methods. The suitable conditions for achieving synchronization of this fractional differential system are derived by using the Laplace transform theory. Numerical simulations coincide with the theoretical analysis.

Subfields: Computer Networks and Communications, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dd4a519de1a5af9d35657c8bdd42b4447206c90c

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In Computer Networks and Communications

1. Weihua Deng
2. Changpin Li
3. Tiedong Ma
4. Zhiliang Wang
5. Jinhu Lu
6. Ning Sun
7. Dongsheng Yang
8. Guanrong Chen

In Modeling and Simulation

1. Weihua Deng
2. Changpin Li
3. Jinhu Lu
4. Ning Sun
5. Zhiliang Wang
6. Tiedong Ma
7. Dongsheng Yang
8. António Mendes Lopes

In Statistical and Nonlinear Physics

1. Weihua Deng
2. Changpin Li
3. Jinhu Lu
4. Tiedong Ma
5. António Mendes Lopes
6. Ning Sun
7. J. Machado
8. Zhiliang Wang

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].”
• Fractional order models of leaves (2014, background): “, 2011b), to mechanical (Oustaloup et al., 1996; Deng and Li, 2005; Nigmatullin, 2006; Agrawal, 2007; Mainardi, 2010) and electrical systems (Petras, 2008; Radwan et al.”
• Adaptive feedback control and synchronization of non-identical chaotic fractional order systems (2010, neutral): “It has been shown that fractional order systems, as generalizations of many well-known systems, can also behave chaotically, such as the fractional Duffing system [7], the fractional Chua system [6, 8], the fractional Rössler system [9], the fractional Chen system [10, 11, 12], the fractional Lorenz”