KAM Theory for Quasi-periodic Equilibria in One-Dimensional Quasi-periodic Media
β Scribed by Su, Xifeng; de la Llave, Rafael
- Book ID
- 118197993
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2012
- Tongue
- English
- Weight
- 326 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0036-1410
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We consider initial value problems for nearly integrable Hamiltonian systems. We formulate a sufficient condition for each initial value to admit the quasi-periodic solution with a Diophantine frequency vector, without any nondegeneracy of the integrable part. We reconstruct the KAM theorem under RΓΌ
We develop an integral equation Green's function method to study the transmission of waves (in two dimensions) through a continuous potential in the presence of a perpendicular magnetic field. Motivated by recent experiments, the general formalism is then applied to compute the magnetoconductance of