Methods and Applications of Analysis
Volume 25 (2018)
In Memory of Professor John N. Mather: Part 1 of 3
Guest Editors: Sen Hu, University of Science and Technology, China; Stanisław Janeczko, Polish Academy of Sciences, Poland; Stephen S.-T. Yau, Tsinghua University, China; and Huaiqing Zuo, Tsinghua University, China.
Introduction to the study of Arnold diffusion
Pages: 205 – 224
This article is written for general dynamicists to understand the ideas for the proof of Arnold diffusion conjecture, not in pursuit of rigorousness. Readers need not to be familiar with the variational method based on the Mather theory.
dynamical instability, Arnold diffusion
2010 Mathematics Subject Classification
The authors are supported by NNSF of China (No.11790272 and No.11631006).
Received 29 August 2018
Accepted 4 January 2019
Published 1 November 2019