Search Results - "Jia, Wantao"
-
1
Stochastic Analysis of Predator–Prey Models under Combined Gaussian and Poisson White Noise via Stochastic Averaging Method
Published in Entropy (Basel, Switzerland) (13-09-2021)“…In the present paper, the statistical responses of two-special prey–predator type ecosystem models excited by combined Gaussian and Poisson white noise are…”
Get full text
Journal Article -
2
Complex response analysis of a non-smooth oscillator under harmonic and random excitations
Published in Applied mathematics and mechanics (01-05-2021)“…It is well-known that practical vibro-impact systems are often influenced by random perturbations and external excitation forces, making it challenging to…”
Get full text
Journal Article -
3
Dynamical analysis of an SDOF quasi‐linear system with jump noises and multitime‐delayed feedback forces
Published in International journal of mechanical system dynamics (01-06-2022)“…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…”
Get full text
Journal Article -
4
Stochastic Dynamics of a Time-Delayed Ecosystem Driven by Poisson White Noise Excitation
Published in Entropy (Basel, Switzerland) (23-02-2018)“…We investigate the stochastic dynamics of a prey-predator type ecosystem with time delay and the discrete random environmental fluctuations. In this model, the…”
Get full text
Journal Article -
5
The stochastic dynamical behaviors of the gene regulatory circuit in Bacillus subtilis
Published in AIP advances (01-06-2018)“…In recent years, the gene regulatory circuit in biological systems has attracted a considerable interest. In this paper, we consider the dynamical behaviors of…”
Get full text
Journal Article -
6
Study on the Business Cycle Model with Fractional-Order Time Delay under Random Excitation
Published in Entropy (Basel, Switzerland) (12-07-2017)“…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…”
Get full text
Journal Article -
7
Reliability of dynamical systems with combined Gaussian and Poisson white noise via path integral method
Published in Probabilistic engineering mechanics (01-04-2022)“…Analyzing the reliability of a stochastic dynamical system represents one of the most challenging problems in stochastic dynamics. In this paper, the…”
Get full text
Journal Article -
8
Path integral solutions of the governing equation of SDEs excited by Lévy white noise
Published in Journal of computational physics (01-10-2019)“…In this paper, the probability density functions (PDFs) of scalar stochastic differential equations (SDEs) subject to α-stable Lévy white noise are…”
Get full text
Journal Article -
9
Deep neural network method to predict the dynamical system response under random excitation of combined Gaussian and Poisson white noises
Published in Chaos, solitons and fractals (01-08-2024)“…Nonlinear dynamical systems excited by combined Gaussian and Poisson white noises are widely found in the scientific field. However, the introduction of…”
Get full text
Journal Article -
10
Stochastic averaging of quasi-integrable and non-resonant Hamiltonian systems under combined Gaussian and Poisson white noise excitations
Published in Nonlinear dynamics (01-04-2014)“…A stochastic averaging method for predicting the response of quasi-integrable and non-resonant Hamiltonian systems to combined Gaussian and Poisson white noise…”
Get full text
Journal Article -
11
Stochastic averaging of quasi-partially integrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations
Published in Physica A (15-03-2014)“…A stochastic averaging method for predicting the response of quasi-partially integrable and non-resonant Hamiltonian systems to combined Gaussian and Poisson…”
Get full text
Journal Article -
12
Data-driven methods for the inverse problem of suspension system excited by jump and diffusion stochastic track excitation
Published in International journal of non-linear mechanics (01-11-2024)“…Following a lengthy tenure of service, suspension systems may exhibit inaccurate model parameters due to the presence of complex conditions, which can result…”
Get full text
Journal Article -
13
Most probable trajectory of a tumor model with immune response subjected to asymmetric Lévy noise
Published in Chaos, solitons and fractals (01-12-2022)“…This paper is devoted to making realistic prediction for the trajectory transition of tumor cells induced by stochastic disturbances. To maintain better…”
Get full text
Journal Article -
14
Stochastic dynamics of aircraft ground taxiing via improved physics-informed neural networks
Published in Nonlinear dynamics (01-03-2024)“…In this paper, the stochastic propagation of the aircraft taxiing under the excitation of uneven runway is investigated based on physics-informed neural…”
Get full text
Journal Article -
15
Response and reliability of suspension system under stochastic and periodic track excitations by path integral method
Published in International journal of non-linear mechanics (01-12-2023)“…Considering that maglev trains are affected by factors such as track irregularities, variations in load, external wind loads, and track materials, this paper…”
Get full text
Journal Article -
16
Probability density of the solution to nonlinear systems driven by Gaussian and Poisson white noises
Published in Probabilistic engineering mechanics (01-07-2024)“…A new method is proposed to compute the probability density of the multi-dimensional nonlinear dynamical system perturbed by a combined excitation of Gaussian…”
Get full text
Journal Article -
17
P-bifurcation phenomena of the non-smooth modified rayleigh-duffing oscillator under the combined action of harmonic excitation and noise perturbation
Published in Physica scripta (01-04-2023)“…Abstract In this paper, the stochastic dynamics of a modified Rayleigh-Duffing oscillator with Coulomb frictional damping and elastic impact is investigated…”
Get full text
Journal Article -
18
A novel method for solving response of stochastic vibro-impact systems with two stoppers
Published in Journal of sound and vibration (18-08-2023)“…•Without non-smooth transformation, a method is proposed to analyze the stationary probability density response of stochastic bilateral vibro-impact systems…”
Get full text
Journal Article -
19
Stochastic averaging of quasi partially integrable and resonant Hamiltonian systems under combined Gaussian and Poisson white noise excitations
Published in International journal of non-linear mechanics (01-07-2017)“…A stochastic averaging method for quasi partially integrable and resonant Hamiltonian systems excited by the combined Gaussian and Poisson white noises is…”
Get full text
Journal Article -
20
Responses of Duffing oscillator with fractional damping and random phase
Published in Nonlinear dynamics (01-11-2013)“…This paper aims to investigate dynamic responses of stochastic Duffing oscillator with fractional-order damping term, where random excitation is modeled as a…”
Get full text
Journal Article