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A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics. The Hamiltonian systems appearing in most of t

Beginning by introducing a geometric mechanism for diffusion in a priori unstable nearly integrable dynamical systems. This book is based on the observation tha

The first complete proof of Arnold diffusion—one of the most important problems in dynamical systems and mathematical physics Arnold diffusion, which concerns

Includes papers in mathematical physics and related areas that are of the highest quality.

Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research