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Normal form reduction for time-periodically driven differential equations

✍ Scribed by C. Elphick; G. Iooss; E. Tirapegui


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
351 KB
Volume
120
Category
Article
ISSN
0375-9601

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Normal Forms for Random Differential-Equ
✍ L. Arnold; K.D. Xu πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 579 KB

Given a dynamical system \(\left(\Omega, \mathscr{F}, P, Q_{1}\right)\) and a random differential equation \(\dot{x}=f\left(\theta,(\omega, x)\right.\) in \(\mathbb{R}^{d}\) with \(f(\omega, 0)=0\) a.s. The normal form problem is to construct a smooth near identity nonlinear random coordinate transf