Wantao Jia
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View article: P-bifurcation phenomena of the non-smooth modified rayleigh-duffing oscillator under the combined action of harmonic excitation and noise perturbation
P-bifurcation phenomena of the non-smooth modified rayleigh-duffing oscillator under the combined action of harmonic excitation and noise perturbation Open
In this paper, the stochastic dynamics of a modified Rayleigh-Duffing oscillator with Coulomb frictional damping and elastic impact is investigated under combined harmonic and noise excitations. On the premise of retaining the non-smooth p…
View article: Dynamical analysis of an SDOF quasi‐linear system with jump noises and multitime‐delayed feedback forces
Dynamical analysis of an SDOF quasi‐linear system with jump noises and multitime‐delayed feedback forces Open
In this paper, stochastic dynamics of a single degree‐of‐freedom quasi‐linear system with multitime delays and Poisson white noises are investigated using an approximate procedure based on the stochastic averaging method. The simplified eq…
View article: A Novel Method for Solving Response of Stochastic Vibro-impact Systems with Two-sided Barriers
A Novel Method for Solving Response of Stochastic Vibro-impact Systems with Two-sided Barriers Open
The research of stochastic steady-state response of vibration systems including bilateral impacts and gaps has important theoretical and practical significance. At present, conventional analytical methods destroy the inherent non-smooth of…
View article: Complex response analysis of a non-smooth oscillator under harmonic and random excitations
Complex response analysis of a non-smooth oscillator under harmonic and random excitations Open
It is well-known that practical vibro-impact systems are often influenced by random perturbations and external excitation forces, making it challenging to carry out the research of this category of complex systems with non-smooth character…
View article: The stochastic dynamical behaviors of the gene regulatory circuit in Bacillus subtilis
The stochastic dynamical behaviors of the gene regulatory circuit in Bacillus subtilis Open
In recent years, the gene regulatory circuit in biological systems has attracted a considerable interest. In this paper, we consider the dynamical behaviors of the gene regulatory circuit in Bacillus subtilis, including deterministic syste…
View article: Stochastic Dynamics of a Time-Delayed Ecosystem Driven by Poisson White Noise Excitation
Stochastic Dynamics of a Time-Delayed Ecosystem Driven by Poisson White Noise Excitation Open
We investigate the stochastic dynamics of a prey-predator type ecosystem with time delay and the discrete random environmental fluctuations. In this model, the delay effect is represented by a time delay parameter and the effect of the env…
View article: Study on the Business Cycle Model with Fractional-Order Time Delay under Random Excitation
Study on the Business Cycle Model with Fractional-Order Time Delay under Random Excitation Open
Time delay of economic policy and memory property in a real economy system is omnipresent and inevitable. In this paper, a business cycle model with fractional-order time delay which describes the delay and memory property of economic cont…