A5013057568- Chaos control and synchronization
- stochastic dynamics and bifurcation
- Mathematical and Theoretical Epidemiology and Ecology Models
- Probabilistic and Robust Engineering Design
- Nonlinear Dynamics and Pattern Formation
- Ecosystem dynamics and resilience
- Neural Networks and Applications
- Gene Regulatory Network Analysis
- Neural Networks Stability and Synchronization
- COVID-19 epidemiological studies
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Advanced Differential Equations and Dynamical Systems
- Potato Plant Research
- Control Systems and Identification
- Fractional Differential Equations Solutions
- Fuzzy Systems and Optimization
- Structural Health Monitoring Techniques
- Model Reduction and Neural Networks
- Quantum chaos and dynamical systems
- Evolution and Genetic Dynamics
- Stability and Controllability of Differential Equations
- Plant Disease Resistance and Genetics
- Advanced Memory and Neural Computing
- Optical Network Technologies
Shijiazhuang Tiedao University
2012-2024
Shanxi Academy of Agricultural Sciences
2024
Shanxi Agricultural University
2024
Harbin Institute of Technology
2008-2009
Abstract Polygala tenuifolia Willd is a perennial herb in the family Polygalaceae and used as an expectorant stimulant traditional Chinese medicine. There large demand for P. , while good cultivars of are not enough. In this study, we collected 157 germplasm resources from different regions China, 12 phenotypic traits these samples were analyzed using correlation analysis, principal component analysis (PCA), cluster methods. The showed associations between traits, first four components...
In this paper, we study a class of nonlinear stochastic Duffing oscillators with multidelay feedback. We propose an effective reduction approach the help center manifold theory and averaging method. Taking initial time-delay [Formula: see text] as parameter, reduce original system to one-dimensional averaged Itô equation. Our analysis reveals that exhibits bifurcations, including D P bifurcations. Once have clear understanding bifurcation structure, can use knowledge choose appropriate...
The impact of ocean waves and crosswinds on ships has long been a focal point research for many scholars. This paper proposes stochastic ship rolling model influenced by crosswinds, waves, time delays. safe operating region navigation is presented through the phase space system. A quantitative discussion system conducted using Melnikov function, P-D bifurcation discussed topological data analysis techniques. indicates that incorporating delay feedback can effectively enhance system’s stability.
<p>In this paper, we study the higher-order uncertain differential equations (UDEs) as defined by Kaixi Zhang <sup>[<xref ref-type="bibr" rid="b11">11</xref>]</sup>, mainly focus on second-order case. We propose a pivotal condition (monotonicity in some sense, see more details Section 3), introduce concept of $ \alpha $-paths UDEs, and demonstrate its properties. Based this, derive inverse uncertainty distribution solution. Finally, present numerical examples to...
We investigate the discretization of a predator–prey system with two delays under general Runge–Kutta methods. It is shown that if exact solution undergoes Hopf bifurcation at τ=τ*, then numerical Neimark–Sacker τ(h)=τ*+O(h p ) for sufficiently small step size h, where p≥1 order method applied. The direction and stability bifurcating invariant curve are same as delay differential equation.
Abstract In this paper, a stochastic delay differential system driven by the square wave signal is presented. The sensitivity of to different types signals evaluated dynamic behaviors system. analyzed theoretically, and theoretical chaotic threshold under external excitation deduced. numerical simulation results show that more sensitive with same frequency than harmonic frequency.
This paper presents the dynamic behaviors of a second-order asymmetric stochastic delay system with Duffing oscillator as well through detection weak signals, which are analyzed theoretically and numerically. The based on center manifold, together Hopf bifurcation. Numerical analysis revealed that time could enhance noise immunity so to system’s ability detect signals. frequency signal under excitation was detected ‘act-and-wait’ method. small amplitude transition from chaotic periodic...
Extraction of the weak signals is crucial for fault prognostics in which case features are often very and masked by noise. In time domain, detection depends on identification nonlinear parameters. A new signal estimation method based incremental harmonic balance (IHB) developed from stochastic Van der Pol–Duffing equation with delayed feedback under parametric excitation. This first that IHB has been applied parameters delay differential equations (SDDEs). Compared to intermittency...
Abstract This paper proposes the stiffness nonlinearities and asymmetric SD (smooth discontinuous) oscillators under time-delay feedback control with a fractional damping. With effect of displacement velocity feedback, oscillator is adjusted to desired vibration state then stochastic resonance (SR) achieved. article discusses contribution various system parameters SR, especially which induced by It should be noted that this provides effective guidance for fault diagnosis weak signal...