Dynamics of a stochastic system driven by cross-correlated sine-Wiener bounded noises

DOI10.1007/s11071-018-4669-0zbMath1432.60065OpenAlexW2902762408WikidataQ128899761 ScholiaQ128899761MaRDI QIDQ2308126

Qiao-Feng Lin, Ke-Li Yang, Ya Wang, Yuangen Yao, Meng-Yu Tian, Can-Jun Wang

Publication date: 25 March 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4669-0

zbMATH Keywords

Fokker-Planck equationbistable dynamical systemcross-correlated sine-Wiener bounded noises

Mathematics Subject Classification ID

White noise theory (60H40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fokker-Planck equations (35Q84)

Related Items (10)

Estimating the nonlinear effects of an ecological system driven by Ornstein-Uhlenbeck noise ⋮ Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system ⋮ Stability analysis of a SIR epidemic model with random parametric perturbations ⋮ An approach for measuring corporation financial stability by econophysics and Bayesian method ⋮ Cross-correlated sine-Wiener noises-induced transitions in a tumor growth system ⋮ Stochastic multiresonance in oscillators induced by bounded noise ⋮ Impact of cross-correlated sine-Wiener noises in the gene transcriptional regulatory system ⋮ Transport and diffusion in the Schweitzer-Ebeling-Tilch model driven by cross-correlated noises ⋮ Effects of bounded noise and time delay on signal transmission in excitable neural networks ⋮ Investigation on the properties of sine-Wiener noise and its induced escape in the particular limit case D → ∞

Cites Work

• Unnamed Item
• Spatio-temporal sine-Wiener bounded noise and its effect on Ginzburg-Landau model
• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Transitions in a Duffing oscillator excited by random noise
• A numerical method for some stochastic differential equations with multiplicative noise
• ``Fuzzy oncology: Fuzzy noise induced bifurcations and their application to anti-tumor chemotherapy
• Data. A collection of problems from many fields for the student and research worker
• Simulation of correlated non-Gaussian pressure fields
• Dynamical responses in a new neuron model subjected to electromagnetic induction and phase noise
• Multiple cross-correlation noise induced transition in a stochastic bistable system
• Stochastic resonance in a tumor-immune system subject to bounded noises and time delay
• Effect of non-Gaussian noise sources in a noise-induced transition
• Combined effects of correlated bounded noises and weak periodic signal input in the modified FitzHugh-Nagumo neural model
• Bounded noises in physics, biology, and engineering
• Possible generalization of Boltzmann-Gibbs statistics.
• Itō-Langevin equations within generalized thermostatistics
• Detection of sub-threshold periodic signal by multiplicative and additive cross-correlated sine-Wiener noises in the Fitzhugh-Nagumo neuron
• Bounded noise induced first-order phase transitions in a baseline non-spatial model of gene transcription
• LÉVY FLIGHT SUPERDIFFUSION: AN INTRODUCTION
• A review and guidance for pattern selection in spatiotemporal system
• On the statistical theory of electromagnetic waves in a fluctuating medium (I)
• Wiener Integrals of Multiple Variations
• Brownian motors: noisy transport far from equilibrium

This page was built for publication: Dynamics of a stochastic system driven by cross-correlated sine-Wiener bounded noises