A note on the fractional-order Chen system
By Junguo Lu, Guanrong Chen. 2006
365 citations recorded by the source corpus.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/2ecdda6ba0a355d04a9b89da67f991dd6e29f885
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
In Statistical and Nonlinear Physics
- Zaid M. Odibat
- V. S. Erturk
- Shaher Momani
- Dumitru Băleanu
- YangQuan Chen
- Shouming Zhong
- Chun Yin
- Tiedong Ma
Citations in the corpus
- Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach ☆ (2013, background): “It has been also demonstrated that some fractional-order differential systems [18–21] behave chaotically or hyper-chaotically, such as the fractional-order Chen system [22,23], the fractional-order financial system [24,25].”
- Solving systems of fractional differential equations using differential transform method (2008, background): “Recently, a large amount of literatures developed concerning the application of fractional differential equations in nonlinear dynamics [5–9,19].”
- Numerical comparison of methods for solving linear differential equations of fractional order (2007, background): “Recently, a large amount of literatures developed concerning the application of fractional differential equations in nonlinear dynamics [4] [5] [6] [7].”
- Stability analysis for nonlinear fractional-order systems based on comparison principle (2014, background): “While more and more fractional-order differential equations are encountered in the fields of physics and engineering, a problem naturally comes into being: How can we control a system involving fractional derivatives so that it can run as expected? This problem has become more attractive especially ”
- Control of an uncertain fractional-order Liu system via fuzzy fractional-order sliding mode control (2012, background): “Since then many papers have been published dealing with chaotic behavior in fractionalorder systems (Ahmad and Sprott, 2003; Ge and Ou, 2007; Gejji and Bhalekar, 2010; Hartley et al., 1995; Lu and Chen, 2006; Matouk, 2010; Yu et al., 2009).”