4.5 Article

On representing noise by deterministic excitations for interpreting the stochastic resonance phenomenon

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Multidisciplinary Sciences

The effect of high-frequency stochastic actions on the low-frequency behaviour of dynamic systems

Eugen Kremer

Summary: This paper explores a dynamic system described by a finite number of first-order differential equations, where the right side consists of a sum of slow deterministic non-linear functions of dynamic variables and stochastic excitation. By introducing a small parameter and utilizing two-scale techniques, general formulas for vibrational forces are derived to make the averaged system equivalent to the initial stochastic system.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2021)

Article Mathematics, Applied

On the stochastic resonance phenomenon in parametrically excited systems

Vladislav Sorokin et al.

EUROPEAN JOURNAL OF APPLIED MATHEMATICS (2019)

Article Engineering, Mechanical

Stochastic resonance as the averaged response to random broadband excitation and its possible applications

I Blekhman et al.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE (2019)

Article Engineering, Mechanical

On a deterministic explanation of the stochastic resonance phenomenon

I. I. Blekhman et al.

NONLINEAR DYNAMICS (2018)

Article Mathematics

Probability density and stochastic stability for the coupled Van der Pol oscillator system

Shenghong Li et al.

COGENT MATHEMATICS & STATISTICS (2018)

Article Physics, Fluids & Plasmas

Vibrational resonance in an inhomogeneous medium with periodic dissipation

T. O. Roy-Layinde et al.

PHYSICAL REVIEW E (2017)

Article Mathematics, Applied

Analysis of vibrational resonance in bi-harmonically driven plasma

T. O. Roy-Layinde et al.

Article Mathematics, Applied

The effect of nonlinear damping on vibrational resonance and chaotic behavior of a beam fixed at its two ends and prestressed

T. L. M. Djomo Mbong et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2015)

Letter Physics, Multidisciplinary

Vibrational resonance

PS Landa et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2000)