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Your search keyword '"Ma, Jinzhong"' showing total 3 results
Start Over Author "Ma, Jinzhong" Topic random noise theory
3 results on '"Ma, Jinzhong"'

1. Suppression of noise-induced critical transitions: a linear augmentation method.

Author

Ma, Jinzhong, Xu, Yong, Liu, Di, Tian, Ruilan, Ma, Shaojuan, Feudel, Ulrike, and Kurths, Jürgen

Subjects
*RANDOM noise theory, *STOCHASTIC systems, *LINEAR dynamical systems
Abstract

In stochastic complex systems, some sudden critical transitions (CTs) from one desirable state to another contrasting one can take place because of noise, which may even lead to catastrophic consequences. To keep a certain system in one desirable state of performance, methods that suppress these catastrophic CTs in the presence of noise need to be developed. In this paper, the ability of an external linear augmentation method to suppress Gaussian white noise-induced CTs away from a desirable state is investigated from a new perspective. This control is designed in such a way that, as a noise-induced CT is impending, the desirable state of performance in a stochastic complex system can be stabilized using a specific type of coupling with a linear dynamical system. Then, the contrasting state is annihilated with increasing coupling strength. Taking a bi-stable system with one CT (from the desirable state to the undesirable one) and a tri-stable system with two CTs (from the desirable state to the sub-desirable one and from the sub-desirable state to the undesirable one) as the prototype class of real complex systems, the potential of our technique is demonstrated. [ABSTRACT FROM AUTHOR]

Published
2021
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2. Effects of combined harmonic and random excitations on a Brusselator model.

Author

Xu, Yong, Ma, Jinzhong, Wang, Haiyan, Li, Yongge, and Kurths, Jürgen

Subjects
*STOCHASTIC resonance, *SIGNAL-to-noise ratio, *STOCHASTIC processes, *SPIN excitations, *RANDOM noise theory, *HOPF bifurcations
Abstract

We discuss the constructive role of combined harmonic and random excitation on stochastic resonance (SR) in a Brusselator model. We first numerically investigate SR determined by the Signal-to-Noise Ratio (SNR) in this model. Effects of different parameters on SR are described in detail. Our simulation results show that the intensity of the Gaussian colored noise and the amplitude of the periodic force can enhance SR. Moreover, an analytical framework is presented for the SNR of the Brusselator model, leading to a theoretical expression of SNR. We observe a good agreement between the theoretical and numerical results, and the effectiveness of the proposed theoretical method is verified. This theoretical analysis provides a global view on how the dynamics of a periodically forced system with noise changes in the vicinity of a Hopf bifurcation. [ABSTRACT FROM AUTHOR]

Published
2017
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3. Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force.

Author

Bu, Min, Li, Jing, Guo, Rong, and Ma, Jinzhong

Subjects
*RANDOM noise theory, *STEADY-state responses, *STOCHASTIC systems, *SHAPE memory alloys, *ANALYTICAL solutions
Abstract

For shape memory alloy (SMA) oscillator, the stochastic transitions between low-amplitude and undesirable high-amplitude oscillations will affect the safety and normal use of the system. Therefore, the nonlinear dynamical responses of a SMA oscillator with both periodic and Gaussian colored noise excitations are investigated in this paper. Firstly, to reveal the influences of random factors, a stochastic SMA model with a Gaussian colored noise is introduced. Subsequently, the approximate analytical solution of the steady-state amplitude response under the deterministic case is given by the averaging method, and the time-averaging mean-square response of the stochastic SMA system is obtained by the stochastic averaging method. The deduced approximated analytical solutions are verified by Monte Carlo numerical results, and a good consistency is observed. Finally, the effects of the random excitation and temperature on the steady-state responses of the SMA system are explored. We uncover that the temperature influences the frequency of bifurcation points, which can disrupt the stable structure of the SMA oscillator. In addition, noise intensity and correlation time of the colored noise can induce the occurrence of stochastic transitions between low-amplitude and high-amplitude oscillations, which are visible through the steady-state probability density and time history diagrams. All these obtained results may provide theoretical guidance and valuable insights for avoiding catastrophic stochastic transitions in SMA materials. • The dynamical responses of a SMA oscillator excited by colored noise are studied theoretically and numerically. • Exploring the stochastic transitions phenomena and the effects of colored noise on SMA oscillator. • Provide theoretical guidance for the reliability and safety design of the SMA system. [ABSTRACT FROM AUTHOR]

Published
2023
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