# American Institute of Mathematical Sciences

October  2013, 18(8): 2019-2028. doi: 10.3934/dcdsb.2013.18.2019

## Adaptive full state hybrid function projective synchronization of financial hyperchaotic systems with uncertain parameters

 1 Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, China, China, China, China

Received  December 2012 Revised  June 2013 Published  July 2013

This paper further investigates a new type synchronization called full state hybrid function projective synchronization (FSHFPS). Based on the Lyapunov stability theory, the adaptive control law and the parameter update laws are derived to make FSHFPS between two financial hyperchaotic systems. And FSHFPS of financial hyperchaotic systems is first studied in this paper. The method is successfully applied to the synchronization between two identical financial hyperchaotic systems and two different financial hyperchaotic systems when the parameters unknown. Numerical simulations are presented to demonstrate the effectiveness of the proposed controllers.
Citation: Guoliang Cai, Lan Yao, Pei Hu, Xiulei Fang. Adaptive full state hybrid function projective synchronization of financial hyperchaotic systems with uncertain parameters. Discrete & Continuous Dynamical Systems - B, 2013, 18 (8) : 2019-2028. doi: 10.3934/dcdsb.2013.18.2019
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