Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom is popular PDF and ePub book, written by Vadim Kaloshin in 2020-11-03, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom can be Read Online from any device for your convenience.
Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom Book PDF Summary
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.
Detail Book of Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom PDF
- Author : Vadim Kaloshin
- Release : 03 November 2020
- Publisher : Princeton University Press
- ISBN : 9780691204932
- Genre : Science
- Total Page : 224 pages
- Language : English
- PDF File Size : 20,8 Mb
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