Abstract
Purpose
– The purpose of this paper is to study the control and synchronization of the hyperchaotic finance system.
Design/methodology/approach
– A single controller scheme is introduced. The Routh-Hurwitz criteria and the structure of solution of first-order linear differential equations are adopted in analysis of control and synchronization.
Findings
– Two single controllers are designed and added to the new hyperchaotic finance system. The stability of the hyperchaotic finance system at its zero equilibrium point is guaranteed by applying the appropriate single controller signal based on Routh-Hurwitz criteria. Another effective controller is also designed for the global asymptotic synchronization on the hyperchaotic finance system based on the structure of solution of first-order linear differential equations. Numerical simulations are demonstrated to verify the effectiveness of the proposed single controller scheme.
Originality/value
– The introduced approach is interesting for control and synchronization the hyperchaotic finance system.
Reference31 articles.
1. Blasius, B.
,
Huppert, A.
and
Stone, L.
(1999), “Complex dynamics and phase synchronization in spatially extended ecological systems”,
Nature
, Vol. 399 No. 6734, pp. 354-359.
2. Cai, G.
and
Huang, J.
(2007), “A new finance chaotic attractor”,
International Journal of Nonlinear Science
, Vol. 3 No. 3, pp. 213-220.
3. Cai, G.
,
Yu, H.
and
Li, Y.
(2011), “Stabilization of a modified chaotic finance system”, IEEE 4th International Conference on Information and Computing, pp. 188-191.
4. Chen, C.
,
Fan, T.
and
Wang, B.
(2014), “Inverse optimal control of hyperchaotic finance system”,
World Journal of Modelling and Simulation
, Vol. 10 No. 2, pp. 83-91.
5. Chen, C.-Z.
,
He, P.
,
Fan, T.
and
Jing, C.-G.
(2015), “Finite-time chaotic control of unified hyperchaotic systems with multiple parameters”,
International Journal of Control and Automation
, Vol. 8 No. 8, pp. 57-66.
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