Normal forms for weakly dispersive wave equations
โ Scribed by Yuji Kodama
- Book ID
- 103777910
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 286 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
we extend Henry Poincare's normal form theory for autonomous difference equations "k+l = f(xk) to nonautonomous difference equations zk+r = fk(zk). Poincare's nonresonance condition Xj -nz, Xpi # 0 for eigenvalues is generalized to the new nonresonance condition Xj n nbl Xy = 0 for spectral interval
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