Multi-Scale Analysis of Noise-Sensitivity Near a Bifurcation

DOI10.1007/978-94-010-0179-3_12zbMath1067.34057OpenAlexW2181595272MaRDI QIDQ4650481

Rachel Kuske

Publication date: 11 February 2005

Published in: Solid Mechanics and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-94-010-0179-3_12

zbMATH Keywords

stochastic differential equationsHopf bifurcationsimulationsamplitude equationsDuffing-van der Pol oscillatormultiple scale analysis

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Bifurcation theory for ordinary differential equations (34C23) Applications of stochastic analysis (to PDEs, etc.) (60H30) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10) Numerical bifurcation problems (65P30) Multiple scale methods for ordinary differential equations (34E13)

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