Nonlinear and additive white noise perturbations of linear delay differential equations at the verge of instability: An averaging approach

DOI10.1142/S0219493716500131zbMath1420.34098arXiv1311.4532OpenAlexW1756880450MaRDI QIDQ2810664

N. Sri Namachchivaya, Nishanth Lingala

Publication date: 3 June 2016

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4532

zbMATH Keywords

delay differential equationaveragingmartingale problem

Mathematics Subject Classification ID

Stochastic functional-differential equations (34K50) Linear functional-differential equations (34K06) Perturbations of functional-differential equations (34K27)

Related Items (1)

Random dynamical systems: addressing uncertainty, nonlinearity and predictability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sustained oscillations for density dependent Markov processes
• Introduction to functional differential equations
• Delay equations. Functional-, complex-, and nonlinear analysis
• Averaging of noisy nonlinear systems with rapidly oscillating and decaying components
• ALMOST SURE ASYMPTOTIC STABILITY OF SCALAR STOCHASTIC DELAY EQUATIONS: FINITE STATE MARKOV PROCESS
• Functional Itô versus Banach space stochastic calculus and strict solutions of semilinear path-dependent equations
• NOISE-SENSITIVITY IN MACHINE TOOL VIBRATIONS
• UNIFIED APPROACH FOR NOISY NONLINEAR MATHIEU-TYPE SYSTEMS
• Random perturbations of a periodically driven nonlinear oscillator: escape from a resonance zone
• Multiscale Analysis of Stochastic Delay Differential Equations

This page was built for publication: Nonlinear and additive white noise perturbations of linear delay differential equations at the verge of instability: An averaging approach