FEEDBACK CONTROL OF CHAOS IN THE MODIFIED KDV-BURGERS-KURAMOTO EQUATION VIA A SINGLE TIME-DELAY

Junbiao Guan; Shihao Chen

doi:10.11948/20250034

2026 Volume 16 Issue 1

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Junbiao Guan, Shihao Chen. FEEDBACK CONTROL OF CHAOS IN THE MODIFIED KDV-BURGERS-KURAMOTO EQUATION VIA A SINGLE TIME-DELAY[J]. Journal of Applied Analysis & Computation, 2026, 16(1): 17-33. doi: 10.11948/20250034

Citation:

Junbiao Guan, Shihao Chen. FEEDBACK CONTROL OF CHAOS IN THE MODIFIED KDV-BURGERS-KURAMOTO EQUATION VIA A SINGLE TIME-DELAY[J]. Journal of Applied Analysis & Computation, 2026, 16(1): 17-33. doi: 10.11948/20250034

FEEDBACK CONTROL OF CHAOS IN THE MODIFIED KDV-BURGERS-KURAMOTO EQUATION VIA A SINGLE TIME-DELAY

Junbiao Guan^1, ,,
Shihao Chen^1,

1.
School of Science, Hangzhou Dianzi University, Hangzhou 310018, China

Author Bio: Email: 1162831997@qq.com(S. Chen)
Corresponding author: Email: jbguan@hdu.edu.cn(J. Guan)

Abstract

Abstract

In this paper, we investigate the time-delayed feedback control of a novel three-dimensional chaotic system which is found from a class of modified KdV-Burgers-Kuramoto (mKBK) equation. First, the local stability and the occurrence of Hopf bifurcation are studied by introducing a single time-delayed feedback term into the chaotic system. Then, the dynamical properties of bifurcated periodic solutions are investigated by applying the algorithm depending on the normal form theory and center manifold theorem. Finally, numerical simulations are presented to illustrate the effectiveness of the theoretical results.
- Control of chaos /
- modified KdV-Burgers-Kuramoto equation /
- Hopf bifurcation /
- stability
MSC: 34H10, 34K18, 34K20

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References

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