An Example of a Nearly Integrable Hamiltonian System with a Trajectory Dense in a Set of Maximal Hausdorff Dimension

<i>The Conceptual Foundations of the Statistical Approach in Mechanics</i>

P. Ehrenfest, Tatiana Ehrenfest, Michael J. Moravcsik et al. · Physics Today · 1960 · 332 citations

Natural Sciences, Physics, Applied Mechanics +13

A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model

Amadeu Delshams, Rafael de la Llave, Tere M. Seara · Memoirs of the American Mathematical Society · 2006 · 145 citations · Full text

Natural Sciences, Mathematics, Physics +16

Mathematical methods of classical mechanics /2nd edition/

Vladimir I. Arnold · Moscow Izdatel Nauka · 1979 · 135 citations

Natural Sciences, Mathematics, Physics +14

Evolution of slow variables in<b><i>a priori</i></b>unstable Hamiltonian systems

Dmitrii Valer'evich Treschev · Nonlinearity · 2004 · 120 citations

Natural Sciences, Mathematics, Physics +11

Existence of Diffusion Orbits in a priori Unstable Hamiltonian Systems

Chong-Qing Cheng, Jun Yan · Journal of Differential Geometry · 2004 · 118 citations · Full text

Natural Sciences, Mathematics, Physics +10