Share
Arnold Diffusion for Smooth Systems of two and a Half Degrees of Freedom: (Ams-208) (Annals of Mathematics Studies)
Ke Zhang
(Author)
·
Vadim Kaloshin
(Author)
·
Princeton University Press
· Hardcover
Arnold Diffusion for Smooth Systems of two and a Half Degrees of Freedom: (Ams-208) (Annals of Mathematics Studies) - Kaloshin, Vadim ; Zhang, Ke
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My Wishlists
Origin: U.S.A.
(Import costs included in the price)
It will be shipped from our warehouse between
Friday, June 28 and
Tuesday, July 16.
You will receive it anywhere in United Kingdom between 1 and 3 business days after shipment.
Synopsis "Arnold Diffusion for Smooth Systems of two and a Half Degrees of Freedom: (Ams-208) (Annals of Mathematics Studies)"
The first complete proof of Arnold diffusion-one of the most important problems in dynamical systems and mathematical physics Arnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was discovered by Vladimir Arnold in 1963, it has attracted the efforts of some of the most prominent researchers in mathematics. The question is whether a typical perturbation of a particular system will result in chaotic or unstable dynamical phenomena. In this groundbreaking book, Vadim Kaloshin and Ke Zhang provide the first complete proof of Arnold diffusion, demonstrating that that there is topological instability for typical perturbations of five-dimensional integrable systems (two and a half degrees of freedom). This proof realizes a plan John Mather announced in 2003 but was unable to complete before his death. Kaloshin and Zhang follow Mather's strategy but emphasize a more Hamiltonian approach, tying together normal forms theory, hyperbolic theory, Mather theory, and weak KAM theory. Offering a complete, clean, and modern explanation of the steps involved in the proof, and a clear account of background material, this book is designed to be accessible to students as well as researchers. The result is a critical contribution to mathematical physics and dynamical systems, especially Hamiltonian systems.
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.
✓ Producto agregado correctamente al carro, Ir a Pagar.