Dynamics of a new modified self-sustained biological trirythmic system with fractional time-delay feedback under correlated noise

RM Yonkeu, BA Guimfack, CB Tabi, A Mohamadou… - Nonlinear …, 2023 - Springer
The dynamics of a new modified Van der Pol (VDP) self-sustained oscillator, driven by
fractional time-delay feedback under correlated noise, is addressed in this paper. The …

Stochastic P-bifurcation in a bistable Van der Pol oscillator with fractional time-delay feedback under Gaussian white noise excitation

Y Li, Z Wu, G Zhang, F Wang, Y Wang - Advances in difference equations, 2019 - Springer
The stochastic P-bifurcation behavior of a bistable Van der Pol system with fractional time-
delay feedback under Gaussian white noise excitation is studied. Firstly, based on the …

Probabilistic evolution analysis and first passage analysis of a class of stochastic dynamic systems with fractional derivative based on Complex Fractional Moment …

L Niu, W Xu, T Sun, W Zhang, Y Lu - Communications in Nonlinear Science …, 2023 - Elsevier
In this paper, the application of complex fractional moment (CFM) method in the stochastic
dynamic systems with Caputo-type fractional derivative under the excitation of Gaussian …

Stochastic transition behaviors in a Tri-Stable van der Pol oscillator with fractional delayed element subject to Gaussian White Noise

Y Li, Z Wu, Q Lan, Y Cai, H Xu, Y Sun - Thermal Science, 2022 - doiserbia.nb.rs
The stochastic P-bifurcation behavior of tri stability in a generalized Van der Pol system with
fractional derivative under additive Gaussian white noise excitation is investigated. Firstly …

Stochastic stability of the fractional and tri-stable Van der vol oscillator with time-delay feedback driven by Gaussian white noise

Y Li, Y Sun, Y Hao, X Zhang, F Wang, H Shi… - Thermal …, 2023 - doiserbia.nb.rs
The stochastic P-bifurcation behavior of tri-stability in a fractional-order van der Pol system
with time-delay feedback under additive Gaussian white noise excitation is investigated …

Stochastic Stability and Parametric Control in a Generalized and Tri-Stable Van Der Pol System with Fractional Element Driven by Multiplicative Noise

YJ Li, ZQ Wu, YT Sun, Y Hao, XY Zhang, F Wang… - Fractals, 2023 - World Scientific
The stochastic transition behavior of tri-stable states in a fractional-order generalized Van
der Pol (VDP) system under multiplicative Gaussian white noise (GWN) excitation is …

[HTML][HTML] Stochastic P-bifurcation in a tri-stable Van der Pol system with fractional derivative under Gaussian white noise

Y Li, Z Wu - Journal of Vibroengineering, 2019 - extrica.com
In this paper, we study the tri-stable stochastic P-bifurcation problem of a generalized Van
der Pol system with fractional derivative under Gaussian white noise excitation. Firstly, using …

Stochastic responses of tumor–immune system with periodic treatment

DX Li, Y Li - Chinese Physics B, 2017 - iopscience.iop.org
We investigate the stochastic responses of a tumor–immune system competition model with
environmental noise and periodic treatment. Firstly, a mathematical model describing the …

Stochastic P-bifurcation in a generalized Van der Pol oscillator with fractional delayed feedback excited by combined Gaussian white noise excitations

Y Li, Z Wu, F Wang, G Zhang… - Journal of Low …, 2021 - journals.sagepub.com
This paper investigates the stochastic P-bifurcation behavior of bistability in a generalized
Van der Pol system with fractional time-delay feedback under additive and multiplicative …

[PDF][PDF] Stochastic bifurcation analysis of a bistable Duffing oscillator with fractional damping under multiplicative noise excitation

Y Li, Z Wu, Q Lan, Y Cai, H Xu, Y Sun - Thermal Science, 2021 - doiserbia.nb.rs
The stochastic P-bifurcation behavior of bi-stability in a Duffing oscillator with fractional
damping under multiplicative noise excitation is investigated. Firstly, in order to consider the …