SYNCHRONIZATION OF THE RÖSSLER-LORENZ SYSTEMS WITH FRACTIONAL BROWNIAN MOTION

Hao Wen; Shang Wu; Hongfu Yang; Jianhua Huang

doi:10.11948/20210219

2022 Volume 12 Issue 5

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Article navigation > Journal of Applied Analysis & Computation > 2022 > 12(5): 1727-1747

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Hao Wen, Shang Wu, Hongfu Yang, Jianhua Huang. SYNCHRONIZATION OF THE RÖSSLER-LORENZ SYSTEMS WITH FRACTIONAL BROWNIAN MOTION[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 1727-1747. doi: 10.11948/20210219

Citation:

Hao Wen, Shang Wu, Hongfu Yang, Jianhua Huang. SYNCHRONIZATION OF THE RÖSSLER-LORENZ SYSTEMS WITH FRACTIONAL BROWNIAN MOTION[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 1727-1747. doi: 10.11948/20210219

SYNCHRONIZATION OF THE RÖSSLER-LORENZ SYSTEMS WITH FRACTIONAL BROWNIAN MOTION

1.
College of Liberal Arts and Science, National University of Defense Technology, Deya Road, 410073 Changsha, China

Corresponding author: Email: jhhuang32@nudt.edu.cn(J. Huang)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 11771449) and National Science Foundation of Hunan province (No. 2020JJ4102)

Abstract

Abstract

The current paper is devoted to the dynamics of stochastic chaotic systems with fractional Brownian motion with $H\in(\frac{1}{2}, 1)$. The existence and uniqueness of the so-called stochastic Rössler-Lorenz system driven by fractional Brownian motion is established. Moreover, the stochastic synchronization of stochastic Rössler-Lorenz system is proved, and some numerical simulations are provided to verify the theoretical results.
- Fractional Brownian motion /
- Rössler-Lorenz system /
- synchronization
MSC: 60H15, 37L55

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